diff --git "a/data/dm_maths/full_data_1/1409_11255.jsonl" "b/data/dm_maths/full_data_1/1409_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1409_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the hundreds digit of 20696147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.86 + 9.86. Let p = -3.4 + -1.6. What is the nearest to l in p, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.666 + -11.596. Which is the fourth smallest value? (a) -1\/4 (b) u (c) -15 (d) 1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 e when three letters picked without replacement from xeaxr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1375\/4950*162\/(-210).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2\/9 + 605404*t\/9 + 45814250402\/9 = 0.\nAnswer: -151351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 756*p**3 + 18 - 15 + 755*p**3 + 2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 15073773.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 12*p = -7*p - 6, 14 = 5*l + 2*p. Put -0.5, 66, l in descending order.\nAnswer: 66, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3037556 months in centuries?\nAnswer: 0.001086463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -545285580 divided by -12681060.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.11, -3, 25, -4\/7?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-2)*w**(-3\/4)*(w*w*w*w*w\/(w\/w**(-2\/7)))**(3\/10) assuming w is positive.\nAnswer: w**(471\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 100541*h**3 + 41720*h?\nAnswer: 603246*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**3 + 7*y**3 - 9*y - 9 - 22*y**2 + 33*y + 4*y**3 - y**4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 11:18 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nzznkknzkkzzkkn.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (70\/15)\/((-16)\/(-24)). Let y(p) = -p**2 - 5*p + 23. Let f be y(d). Which is smaller: f or -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3169170290 a multiple of 1430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7660 and 20.\nAnswer: 7660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 70 = 20. What is the units digit of 316\/q + (-4)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1112030222020 - 3?\nAnswer: -1112030222023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 1731 + 201. Suppose k = c + 432. What are the prime factors of k?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/4, -3, -2, 32488 in ascending order.\nAnswer: -3, -2, -0.2, 3\/4, 32488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 12. Let o be h(-10). Suppose 4*j - 2*d + 2 = 80, o*d - 6 = 0. Solve -1 = -5*r - j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 46*n - 5. Let f(m) = -15*m + 2. Let l(g) = -8*f(g) - 3*z(g). Suppose 0 = 5*t + 5, 3*t + 6 = -5*c + 7*t. What is the units digit of l(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvjv when four letters picked without replacement from jvnjvjvovjvcvjj?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 27*a**2 + 10*a - 6. Let g(h) = 40*h**2 + 9*h - 7. Let o(l) = 2*g(l) - 3*x(l). Calculate o(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate z**3 + 536*z**2 - 33*z + 11552 wrt z.\nAnswer: 3*z**2 + 1072*z - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9*i**3 + 14*i**3 + 4*i**2 - 7*i**2 + 12*i**3. Let n(p) be the second derivative of -p**5\/5 + p**4\/12 + 4*p. What is 9*n(s) + 2*t(s)?\nAnswer: -2*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22725\/(-20200)*(-14)\/105\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -h + 8, -4*h - 3*o + 7 = 24 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -5*w + 16 + 5 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*x**4 + 254*x**3 - 59*x**4 + 72*x**4 - 306*x**3 + 38*x**4 - 2*x**2 to s*x**3 + f*x**2 + i*x**4 + t*x + o and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/9)*w)**(2\/5) assuming w is positive.\nAnswer: w**(32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (72 + 42720\/(-992)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0138*-4.\nAnswer: 0.0552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 1. Let p = -2629 - -2632. Let w(m) = -9*m + 8. Give p*w(v) - 24*k(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -9. Let r be c\/(-3)*-3 + -3. Suppose -2*z + 2 + r = 2*g, -2*z + 5*g = -9. Solve -q - z*q + 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/23940*30*49.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273384 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-54 + -69 + 133).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2710*u**2 - 3044*u**2 + 3858*u - 9341*u + 5819*u**2 wrt u.\nAnswer: 10970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41133.73 litres to millilitres.\nAnswer: 41133730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*k**3 - 147*k**3 - 74*k**3.\nAnswer: -404*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2. Let p(y) = -9*y**2 + 6. Let o(x) = -10*x**2 + 7. Let u(z) = -6*o(z) + 7*p(z). Calculate m(u(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2162, 31, 6 in ascending order.\nAnswer: -2162, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-6) - (-241)\/2. Let p be (-9)\/(-15)*5 + 3. Suppose -5*k + p*k - i = 0. Is k a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13644, 13643, 13642, 13641?\n\"Answer: -q + 13645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*g + 549 = 90*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + -10 + 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 110*z - 111*z + 4 - 10*z**2 + 37*z**2. Let i be m(5). Suppose 0 = -6*s - 188 + i. Calculate the remainder when s is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3416134417?\nAnswer: 47, 72683711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 + 11 = p, -4*p - 2*x = 20. Let f(v) = -2*v - 9. Give f(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -900 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*g = 18. Let x(n) = 35*n - 83. Let z be x(2). Let i(m) = 7*m. Let a(s) = -15*s. What is g*a(b) + z*i(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -0.95. Let q = u - -0.07. Let n = 151 + -149. Is q less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**10)**(7\/3)\/(l**(-7\/4)*l*l\/l**(-15)))**(1\/44) assuming l is positive.\nAnswer: l**(97\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 85*v - 65\/2*v**3 - 1095\/2*v**2.\nAnswer: -5*v*(v + 17)*(13*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 10756*q + 128496.\nAnswer: 4*(q - 2677)*(q - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)*p*p**(3\/8)\/p)**26 assuming p is positive.\nAnswer: p**(-481\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-2))\/11*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 46*j**2 + 2451*j - 7764. Give p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 1157612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 93*h + 259*h + 37*h - 97*h + 4 - 6.\nAnswer: 106*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7 - 23 = 0. Solve -c + 3 = v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**3 - 3*z**2 + z + 2. Calculate the remainder when 139 is divided by x(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 8 = 5*d. Find the second derivative of -6*j**5 + 3*j**5 - d*j + j + 0*j**5 wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1)*x*x**(-6\/7))**(-32) assuming x is positive.\nAnswer: x**(-480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((b\/b**(3\/13))\/b)\/b)\/b**11)**3)**(-2\/19) assuming b is positive.\nAnswer: b**(954\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 13 + 10 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 20*y = -23*y + 1549, i - 386 = -y. Is 385 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6366\/(-1050)*1 - (-42 - -36) and 109\/42.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 327.49 + -344.1. What is k rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0797 - -0.1797. Let x = -0.4 - 0.1. Let w = -0.76 + 0.7. Sort w, d, x in ascending order.\nAnswer: x, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f + f - f. Let z(u) be the second derivative of -u**3\/3 + u. Let p(g) = -4*g. Let y(n) = 3*p(n) - 5*z(n). Determine y(h(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p**(-1\/2)*p))\/p*p*p*p)\/(p\/(p*p**2\/p))*(p\/((p*p\/(p\/(p*p\/(p**(1\/3)*p)*p)))\/p*p))**(-1\/4) assuming p is positive.\nAnswer: p**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Suppose 0*m - m + 152 = 5*l, 3*l + h*m - 98 = 0. Calculate the remainder when 119 is divided by l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 13*t**4 + 3*t**2 - 27*t - 3. Let a(x) = 220*x**4 + 50*x**2 - 460*x - 50. Let u(k) = -3*a(k) + 50*m(k). Find the second derivative of u(c) wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 1959127.\nAnswer: 27\/1959127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1390 and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/774*(-18)\/16*12\/9. Is r > -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 15*c**2 + 4*c - 3. Let q be r(2). Suppose 0 = -5*y + 10*y - q. What is the remainder when y is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 54468, 54784, 55310, 56046, 56992, 58148, 59514?\n\"Answer: 105*p**2 + p + 54362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.70278 rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 38732\/5 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 10) to base 3\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 11*y + 17. Let c be (-18)\/2 + 18 + -18. Give d(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + (-318)\/(-4))*10\/5. Find the first derivative of -25 - x*z**3 + 82*z**3 - 13*z**4 + 78*z**3 wrt z.\nAnswer: -52*z**3 + 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s. Suppose 2*b + 4 - 8 = 0. Suppose b*d + c - 8 = -d, 4*d = 2*c + 4. Let l(r) = r. Give d*f(w) + 3*l(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 56*t**4 + 14*t**2. Let f(q) = 11*q**4 + 3*q**2. Let g(j) = -16*f(j) + 3*o(j). What is the third derivative of g(z) wrt z?\nAnswer: -192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31221.\nAnswer: 3, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*h + 1. Is (0 + -2 + 69)\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13d14 (base 16) to base 7\nAnswer: 455440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*k + 0*k + 12*k - 3*k as m + h*k and give h.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12409074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-3\/4))\/(m**(2\/9)\/m))\/(m**5*m**6\/m))**(25\/4) assuming m is positive.\nAnswer: m**(-8075\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/((-231)\/(-550)))\/((-2)\/484). What is j rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**3 + 2*g**2 - 2*g - 2. What is the units digit of d(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j - 196*j**3 - 1 + 388*j**3 - 2*j**4 + 1 - 191*j**3 - 1 in the form x*j**2 + n*j**3 + l*j**4 + y*j + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoko when four letters picked without replacement from {o: 3, k: 7, q: 2, g: 1, z: 1, l: 3}.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 5066?\nAnswer: 101.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 5*o**2 + 4*o + 4. Let x(m) = 6*m**2 - 10*m + 18. Let f(u) = -5*u**2 + 10*u - 17. Let c(r) = -5*f(r) - 4*x(r). Let g be c(9). Calculate k(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -23. Calculate the remainder when -6*1\/(-15) - 652\/(-20) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259 divided by -45.\nAnswer: -259\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i + 17. Let n be r(-10). Let h = n + 35. Solve 3*g + h = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17*t**2. Let u(h) = 5 + 12*h - 7*h + 0 - 8*h. Let n(x) = -x + 1. Let b(v) = 5*n(v) - u(v). Give j(b(m)).\nAnswer: 68*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1110100?\nAnswer: 1110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 10 = 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**3 + 4*p**3 - p**3)*(-2 - 4389*p + 8563*p - 4832*p).\nAnswer: 1974*p**4 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3917.84*0.071.\nAnswer: 278.16664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y**2 + 3*y - 1. Let l(t) = -3*t**2 + t**2 + t**2. Suppose 19*x - 24 = 11*x. Let p(i) = -8*i + 23. Let g be p(x). Give g*u(k) + 6*l(k).\nAnswer: k**2 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17973864 and 21968056.\nAnswer: 197712504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.8 in 0.7, 4.2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g + 2. Let h = 1 + g. Let n(l) = 10*l**3. Calculate n(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4 = 0, 3*y + 8 = -3*n - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j. Suppose 0 = -4*v - c + 5, 5*c + 12 = c. Suppose 3*r + v*r + 15 = 0. Let b(o) = -o. What is r*b(p) + 2*s(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1218*j. Let l(v) = -12*v**2 - v + 58. Give b(l(y)).\nAnswer: -14616*y**2 - 1218*y + 70644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672956.9 tonnes to nanograms.\nAnswer: 672956900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013 is divided by 252.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*q - 9 = 1, -q = -4*s + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -1 - sqrt(76)) + sqrt(76))**2 + 2.\nAnswer: -4*sqrt(19) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence esjj when four letters picked without replacement from {j: 3, s: 1, e: 11}.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3995839068?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 13. Let a(k) = -8*k**2 - k - 8*k**2 + 17*k**p. Let y(f) = -f + 7 + 0*f**2 + f**2 - 7 - f**3. Determine a(t) + y(t).\nAnswer: -t**3 + 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513 + 489 = 3*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + 4.01. Suppose -7*f + 2*f - 14 = 2*k, 0 = 4*k - 12. Which is the second biggest value? (a) z (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) - (sqrt(1088) - (5 + sqrt(1088) + -2))**2.\nAnswer: -9 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11085168 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 23 = d, -14*a + 19*a = 5*d + 40 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iini?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*f**3 + 53*f**3 - 9890 + 5*f**2 + 9891 + 47*f to i*f**2 + v*f**3 + p*f + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 17*i**2 - 5*i + 51. Let f be t(8). Let c = f + 1842. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 + 0\/4. Let y = -170 - -1189\/7. What is the closest to 3 in -4, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-36))\/t*(t**(8\/5)*t)\/t assuming t is positive.\nAnswer: t**(-172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - 3*sqrt(119)*-1 - -4*(sqrt(119) - -1*sqrt(119)))\/(sqrt(7)*1*2*6).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4)*4\/(-6). Let d be ((-1334)\/(-70) - 19) + 10365\/(-700). Which is the nearest to d? (a) 4 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 2:41 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1244327 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 + 1. Let w be l(-2). Let h = -128.064 - -128. Let a = -0.036 + h. Are a and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiis when four letters picked without replacement from {i: 7, s: 9}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-17)\/4)\/(-60*(-118)\/(-28320))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1024528*b**5 - 1351821*b?\nAnswer: -20490560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, i: 7}. What is prob of sequence iir?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 + 0.14. Let t = 1.1 - b. Let y(i) = i**3 - 101*i**2 - 97*i - 477. Let r be y(102). Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6638654 and -0.144 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2 + (sqrt(19) - sqrt(38)\/(sqrt(2) - sqrt(50))) - ((-5 + sqrt(931) + -1 - sqrt(931))*-4)**2.\nAnswer: -574 + 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 265 + -378. Let x = u + 113.2. Which is the closest to x? (a) 0.1 (b) 0 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1072 and 85160752?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20 + 78 - 1842*i + 2387*i wrt i?\nAnswer: 545","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n. Let s(j) = -245179*j. Calculate z(s(i)).\nAnswer: 980716*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*(2 + -2*sqrt(931)))**2.\nAnswer: -1344*sqrt(19) + 134128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -73560 divided by -6?\nAnswer: 12260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 2*u**2 - u**2 - 4*u + 8*u**2. Let n be z(1). Suppose 0 = 2*y + 2*i - n, 0 = -3*y - 4*i - 1 + 5. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/3*12 + 1. Let i(n) = -n. Determine i(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 100*x**4 - 398*x**3 + 392*x**2 + 8*x = 0.\nAnswer: -1\/50, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 152\/9? (a) 10 (b) -9\/16 (c) 2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -71, -81, -119, -197, -327?\nAnswer: -521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/16 + 9\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6844259?\nAnswer: 2447, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c. Let x(v) = -128 - v - 9*v + 40 + 40 + 49. Give p(x(m)).\nAnswer: -20*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 1517.3?\nAnswer: 1517.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8116, -16470, -24934, -33514, -42216, -51046, -60010, -69114?\nAnswer: -78364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - m + 1 = 0, 9*m = 5*i + 7*m + 16. What is the third smallest value in i, 412, 0.5?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3*s**2 + 5*j**3 + 42*j**2*s + 2*s**2 + 8*s - 74 wrt j.\nAnswer: 6*j**2*s**2 + 15*j**2 + 84*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 226, 448, 666, 880, 1090, 1296, 1498?\n\"Answer: -2*v**2 + 228*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t**11*t*t*t)\/t))**(5\/4) assuming t is positive.\nAnswer: t**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 11 = 3*g, -6 = -u + 4*g + 2. Let i = -8 - -8.3. Which is smaller: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 25) + (3 - 0) + 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0291 and -56.1.\nAnswer: -56.0709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m**2 - 1616*m. Let h(k) = -120*k**2 + 27500*k. Let p(n) = 2*h(n) + 35*o(n). Suppose p(c) = 0. What is c?\nAnswer: 0, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q + 7. Determine c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1*145970\nAnswer: 145970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004225 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -29. Suppose v = 8*q - 10*q + 352. Suppose -a + q = 3*a. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3744, 3735, 3748, 3795, 3888, 4039?\nAnswer: 4260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a. Let i(h) = 15*h. Let n(q) = -q. Let o(d) = -6*i(d) - 85*n(d). Determine o(j(t)).\nAnswer: 35*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 35 + 0*s**3 + 30 to a*s + f*s**3 + m + u*s**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*a - 5*v + 11, 0 = -3*a + 5*v + 14. Let g(n) = -n**3 + 3*n**2 - 4*n + 2. Determine g(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10010000?\nAnswer: -10010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*x + 10 - 1, 5*n + 12 = x. Let o be 0*1\/(-5 - x). Let p = -786 + 790. Solve -a - 22 = -4*j, o*j - p*j = -5*a - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17767188?\nAnswer: 2, 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 5*i + 48 = 0, 8*m + i - 18 = 10*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 4 - 13455846) + -3. Let h = n + 34855847. What is h rounded to the nearest 1000000?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 24 = -2*w. Suppose 0 = j + j + 24. Let d = j + 30. What is the highest common factor of d and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 284 = 90. Suppose -48 = -5*c - 4*r, -2*r - 48 = -5*c + 18. Let x = -84 - c. Is g <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -16*((-15)\/6)\/(-5). Let i be (-2)\/(-8) + (-958)\/w. What is the highest common divisor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166 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: b\"What is the lth term of 109, 219, 329, 439, 549?\n\"Answer: 110*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(7\/(-80)) - -1. Suppose -5*z = 20, s - 5*s - 148 = -5*z. Let d = s + l. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -371386 divided by 2\nAnswer: -185693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 5*q - 10. Calculate the greatest common divisor of 20 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(416) - sqrt(416)) + (sqrt(26) - sqrt(312)\/(sqrt(12)*1)))\/((sqrt(288) - (sqrt(288)*2*-4 + sqrt(288))) + sqrt(288) + sqrt(288))*4 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 + (4 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/4 (c) 1.114 (d) -5 (e) 0.3 (f) 11 (g) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a day?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/32*(-88)\/60*18 and -43\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21548783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9127.33 to the nearest ten.\nAnswer: -9130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321879 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/13 in 9\/4, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d = d - 779. Suppose 43*b - d*b = 24. Calculate the least common multiple of 88 and b.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 147515821 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:21 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, d: 4, j: 3, h: 4, s: 2}. What is prob of picking 1 s and 1 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/4777674 and -31\/6.\nAnswer: 4777674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 626, 675, 738, 797, 834, 831?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + ((17 - 15) + -49 - -31)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**2 + n**3 + n**3 + 8*n + 20 + n - n**3. Let k be a(12). Let o = k - -103. List the prime factors of o.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 340\/(-9)) + (-4)\/(-18). Suppose -14*d + q + 17 = 0. Solve y = d*w + 20, 1 - 21 = -5*y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 29*o**2 + 143*o + 406. Determine t(-22).\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d + 6 = -g, -g + 2 = 0. Suppose 0 = -d*i + 64 - 4. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 9*i + 65. Calculate the remainder when 192 is divided by i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 11. Let m = 4 + 1. Sort 4, m, w.\nAnswer: w, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n - 4*n - 2*n.\nAnswer: -17*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 121376311 divided by 2?\nAnswer: 121376311\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, b: 7, c: 9}. What is prob of sequence dc?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/722349 and -38\/135.\nAnswer: 10835235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3*l + 2174*l**2 - 1033*l**2 - 1172*l**2.\nAnswer: -31*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7089168 by 5228.\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 1\/4, -2, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 1020?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/((-29 - -30)*2\/(-190))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 2*t**2 - 5*t**2 + (-3*t - t + 3*t)*(1933 - 1933 + 41*t) as q*t + s + g*t**2 and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-three sixths of a week?\nAnswer: 38640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -20, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-5))\/((-4)\/(-10)). Let n(v) = -1 + 0*v - 3 + 1 - l*v. Suppose -x - 15 = x - f, 3*x = -2*f - 12. Give n(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 78*t**3 - 147*t**2 - 965*t. Find the first derivative of b(g) wrt g.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/40 and 63\/22?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -11*a**6\/30 + a**4\/6 + 7*a. What is the third derivative of t(d) wrt d?\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:08 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 2*j**2 - 2*j**2. Let r(k) = -29*k**2 + 9*k - 9. Let h(s) = 7*s**2 - 2*s + 2. Let g(y) = -18*h(y) - 4*r(y). What is z(g(u))?\nAnswer: -200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -203.39 - 0.61. Let r = v - -203.9. What is the nearest to r in -0.5, -3, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + -6853060.61.\nAnswer: -6853060.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 205 = 5*s, -4*s - 8*z + 164 = -3*z. Differentiate 14 - 3*d + 13 + 2 + s*d wrt d.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*i + 23250 = -71*i. What are the prime factors of i?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.39 + 1.39. Let g(n) = n**2 - 3*n - 1. Let d be g(4). Which is the second biggest value? (a) d (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4653000 rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnndnnbndnndbn. Give prob of picking 1 d and 2 b.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -7*q**4\/12 + q - 16. Let g = 2 - -5. Let u(l) = 1 + g*l - 9*l - 1. Calculate y(u(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 480\/50 - (-8094)\/285\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23888 and 560.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47189 = 35*b - 217901. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -5247 in increasing order.\nAnswer: -5247, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, z: 1, d: 1, u: 5, i: 2}. What is prob of sequence dui?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 221604 + -121250. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + 1 + sqrt(13)*2) + (sqrt(26)\/sqrt(2) + 5 + (sqrt(1573) + sqrt(1573)*-1 + sqrt(1573) + sqrt(1573))**2)*-1.\nAnswer: -6303 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 848256 divided by 12.\nAnswer: 70688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/(-40)*1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 408760 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*j**5 + 765*j**4 - 2150*j**3 - 55955*j**2 + 115350*j - 58000 = 0. What is j?\nAnswer: -8, 1, 10, 145\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 145 = -199. Let f(y) = 17*y**2 + 102*y + 4. What is f(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, 0, -5, 1, 8, -2 in decreasing order.\nAnswer: 8, 1, 0, -2, -5, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 14*d + 18. Let y be h(-13). Suppose k - 10 = y. Suppose 3*s = 2*s + 6. Solve s*u = u - k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/70 (b) -3 (c) 19418 (d) -1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1212212 (base 3) to base 10\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1754b (base 12) to base 2.\nAnswer: -1000001101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9303 + 9931. What is the remainder when c is divided by 181?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (512\/(-1152)*-27*1)\/(10\/2).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (25 + -133 - -56).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**4\/2 - 540*p**3 - 102447*p**2\/2 - 471975*p - 1102500 = 0. What is p?\nAnswer: -175, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*f + 9, 0 = 4*p - 5*f + 2*f - 27. Let m(c) = -c**2 - 11*c - 3. Let o be m(-5). Suppose -o = -p*b + 3. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/((-2)\/3). Let g = 88 - 84. Let l(b) = 4*b**3 + b**2 + 2*b + 1. Let r be l(-1). Sort g, r, v in descending order.\nAnswer: g, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-1)*(-2084)\/36. Let g = -2540 - n. What is the common denominator of g and (41\/(-8))\/((-6)\/(-8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 13*j - 338.\nAnswer: (j - 26)*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 5*a = -4*z - 72850, -5*a = -4*z - 182095. Suppose 147*r - a = 142*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -15. Suppose j*n - 16 = 0, -5*u - 16 = -2*n + 3*n. Is (2429\/u)\/(8\/(-32)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -150*c*s - c + s - 1087 wrt s.\nAnswer: -150*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 624520.3 centuries?\nAnswer: 62452030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 0 - 81\/8*z**4 + 0*z - 89\/6*z**3 - 305*z**2. What is the first derivative of s(t) wrt t?\nAnswer: -243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-307 + 309)\/((-14)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12) - 1)*(18\/(-45) - 20).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2772.4945 - 15.5155. Let x = 2773 + b. Let w = x + 15. What is w rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125795 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: Expand -25 - 6*n + 25 + 24 - 3*n - 24 + (-n + 1 - 1)*(0 - 2 + 4) + 4*n - 3*n - 2*n - n + n + 3*n.\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 a factor of 2172504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -10. Let a = r - 2. Let x = 352 - 353. What is the nearest to x in 1, 5, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29038757 to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5067397 = -a, 2*f = -22*a + 27*a + 25337006. Round a to the nearest 100000.\nAnswer: -5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 35*j - 100. What is the smallest common multiple of 144 and u(3)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h**3 + 349*h**2 + 463*h + 113. Determine x(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*l)*(-2 + 0 - 2)*(4 - 4 + 1)*(3 - 1 - 5).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -99*i**5\/20 + 491*i**2 - 456*i. Find the first derivative of u(n) wrt n.\nAnswer: -297*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4506616*i**2 + 22093487*i wrt i?\nAnswer: -9013232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q\/((q\/(q**(-4)\/q))\/q*q)))\/q))**16\/(q**14*q\/q**9*q) assuming q is positive.\nAnswer: q**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -44.728. Let f = -0.167 + 0.407. Let n = a - f. What is n rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2. Let u(n) = -3*n**2 + 9*n**2 + 0*n**2 - n**2. Calculate g(u(r)).\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22882 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/114252994 and 64\/7887.\nAnswer: 3770348802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1134, 2225, 3318, 4413, 5510, 6609, 7710?\nAnswer: 8813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7242\/7 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*q - 10. Suppose q = -3*d - d + 2*m, -4*d = 2*m + 18. Is d smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000481 to the power of 1\/2, to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -12. Let o = 2 - w. Put 2, -4, o in increasing order.\nAnswer: -4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.9 - -21. Let j = 0.4 + i. Let k = j - 2.5. Put -1, k, 4 in descending order.\nAnswer: 4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*b + 500 = 0, u + 3*b - 23 - 122 = 0. Let f = 15 - -5. What is the highest common divisor of f and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/30 and -15\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)*r\/r**(-1\/19))**(-2\/11) assuming r is positive.\nAnswer: r**(-124\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 531a51?\nAnswer: 531a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 98? (a) 37 (b) -2\/3 (c) 13 (d) 0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a9767 + -4?\nAnswer: a9763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -399 - -640. Let w = -58 + z. Suppose -5*u = -w + 3. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586867869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9089 = -5*i - 904. Let v = i - 814. List the prime factors of v\/11 + 6\/33.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5264011 to the power of 1\/2, to the nearest integer?\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.5 + 23.5. What is the fourth smallest value in 5, m, -4, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Let c = -4 - -8. Let q be (c\/(-20))\/(1\/(-3)). What is the third biggest value in q, n, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9393525055 to the nearest 100000.\nAnswer: -9393500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*z - 73, 2*z - 31 = 4*c - 7. Suppose 18*r - 1272 = z*r. List the prime factors of r.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 - -74?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.571 + 1.584571. What is t rounded to 4 dps?\nAnswer: 0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3652, 3640, 3630, 3622, 3616, 3612, 3610?\nAnswer: 3610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -519, -1086, -1857, -2832, -4011, -5394?\nAnswer: -6981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2236 + 4088. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qfwgsfffgqqs. Give prob of sequence sq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*b**2 - 2252 + 2252.\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -101*g**2 - 653*g - 291. Determine v(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1742935?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrrc. Give prob of picking 1 c and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 11*m**2 + 44*m. Let k(g) = g. Calculate v(k(l)).\nAnswer: 11*l**2 + 44*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 7*t**2 + 10*t - 12. Let d be c(8). Suppose d*v - 152 = 1304. Let n be v\/10 + (-6)\/15. Solve -2*w = 3*w + 4*p + n, -8 = 2*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3 - 3. Suppose -f + 111 = m*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*n = 9*n - 12, -h = 2*n - 9. Solve -2*a - b + 8 = -h*b, -3*b = -a + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7469 and 2134.\nAnswer: 14938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5452037, 5452026, 5452015?\n\"Answer: -11*s + 5452048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 7944 = 3510 - 2338. Let p be ((-633)\/6)\/(2\/(-4)). Is y greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 62?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7424\/(-96))\/29*42\/(-8). Solve -z = t + 7, 5*z - i = 10*z - 2*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90072607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2077\/90 + -196\/9. Let o = 137\/90 - b. Is o greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10*s**2 + s**3 - 104*s + 30*s**2 + 29*s + 172 + 14*s**2. What are the prime factors of n(-35)?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 16*j + 12. Give z(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9593.1 times -4?\nAnswer: -38372.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and -22?\nAnswer: -3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 + -0.3. Let q = 0.7 - 0.9. Which is the closest to x? (a) 1 (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1900*q**2 - 963942 + 963942 to h + m*q + c*q**2 and give c.\nAnswer: -1900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.1, -0.0233, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*z - 3*s - s, -z + 2*s = -24. Let k = z + 3. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 10*m - 583. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 9*b**2 - 13*b - 4. Determine p(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 157 = -2*b + 5*b, -5*x + 143 = 2*b. Calculate the remainder when b is divided by -2*(13\/(-2) + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -9 + 8 + -7 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 4 (c) 4\/13 (d) 0.14 (e) 7738\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 323. Let w(k) = 2*k**2 + 14*k + k + 0*k**2 - 15*k. Give w(o(u)).\nAnswer: 2*u**4 + 1292*u**2 + 208658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/80)\/((-9)\/1 - -3). Let b(x) be the third derivative of 1\/300*x**5 - g*x**4 + 0 - 1\/15*x**3 + 3*x**2 + 0*x. Solve b(c) = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13598776 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4*2836999\nAnswer: -11347996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**3\/3 - j**2\/2 - 4*j - 8. Let r be o(4). Suppose -3*n = -n - r. Calculate the highest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 406 + -410. What is the biggest value in 3.8, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -527.\nAnswer: -2635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1815.4*1\nAnswer: 1815.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**2\/7 + 23724*y\/7 + 23727\/7 = 0.\nAnswer: -1, 7909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-9)\/20)\/3)\/((-12)\/96)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1150 + -603. Let m = -557 + c. Is -18 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 8 - 2. Suppose v = j*v. Which is the smallest value? (a) 0.2 (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1062 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 144, 386, 638, 894, 1148, 1394, 1626, 1838?\n\"Answer: -f**3 + 11*f**2 + 216*f - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1086, 1005, 924, 843?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10162357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n + 0*n)*(-2*n + 0*n + 3*n) + 2*n**2 - n**2 + n**2 + 47 - 47 - 7*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -9. Let t be (-18)\/(-4)*z\/(-6). Suppose w + t*l = -l + 2200008, l = -2*w + 4400002. Round w to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.61 >= -2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12993 divide 4272605127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 2*q - 4*q + (-1 + 6 - 3)*(-5*q + 4*q + 3*q) - q + 3*q + q - q - 4*q - 2*q + (-3 + 5 + 0)*(4*q - 3*q - 3*q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-272)\/(-51))\/((-25984)\/(-168)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 913 + -1827\/2. Let h = -2.94 + -0.06. Let p = 241 - 241.3. Which is the third smallest value? (a) p (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 4\/5, -850, 0, -115, 0.2, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.667 - 0.86805.\nAnswer: -1.53505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 2*z + z)*(-4 + 4 + 3) - z + 6*z + 8*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 5*g**4\/8 + g**3\/3 + g**2. What is the remainder when z(5) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i - n = -22*i + 2, 31 = -5*i + 4*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29084, 29012, 28942, 28874, 28808, 28744?\nAnswer: 28682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64.141 + -0.659. Let m = y - 0.2. Let o = m + 64.99957. Round o to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 - 12*h**3 + h + 2*h**2 + 19*h**3 - 3*h**2 as w + u*h**3 + k*h + i*h**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 524 - 3674\/7. Let f(o) = o**3 - 3*o**2 + 2. Let j be f(2). What is the closest to j in -2\/3, -1\/10, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 17*w - 5*w**2 - 62*w**3 + 63*w**3 + 3*w**2 - 6 - 6*w**2 - 7. Let k be a(6). Let j = 5 + -3. Solve -2*p + p = -4*c + k, j*p - 1 = c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-8)))\/(l*(l**(6\/11)\/l*l)\/l))**(-7\/2)\/(((l**6\/l)\/l)\/(l\/(l\/(l\/l**(-7)*l)))*(l*(l*l**(-1\/5)*l)\/l*l)\/l**(-3\/7)) assuming l is positive.\nAnswer: l**(-9363\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5521 - 1710?\nAnswer: 3611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 3032?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**4 - 21930*n**3 - 7540461*n**2 - 645780100*n + 1321897500 = 0.\nAnswer: -21582, -175, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53194.3255 + 53210. Let g = 0.0355 + s. Let v = g + 0.29. Is v greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 51*y + 44. Let n = 217 - 214. What are the prime factors of v(n)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s - 33 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7802 divided by 1?\nAnswer: 7802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/715 and 37\/1971970?\nAnswer: 1971970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(41*n**2 + 8*n**3 - 41*n**2) + 79 - 79 + 9*n**3.\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -552 - -557. Suppose 7*i - 54 = o*i - 2*s, 58 = 2*i + 4*s. Solve 7*g = 2*g + i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -2 - 4) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c - 12. Let s(b) = -13*b + 32. Let o(z) = -8*h(z) - 3*s(z). Let i(j) = 220*j. Calculate i(o(g)).\nAnswer: -220*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 107 + -112. Let g be (-2)\/6*(-6 - -6)\/q. Solve 0*c - 2*c - 4 = g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, 136, 459 in descending order.\nAnswer: 459, 174, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4692, 4698, 4704, 4710, 4716, 4722?\n\"Answer: 6*x + 4686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/24*8\/(-78)*78\/715*11?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4 + 68986*n**3 - 588105752*n**2 - 117130275840*n - 1624397414400 = 0.\nAnswer: -180, -15, 17344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 29*c**5 - 119*c**4 - 248*c**3 - 76*c**2 - 4*c. Let q(b) = -4*b**5 - b**4 - 2*b**3 + b**2 - b. Let j(r) = -m(r) + 4*q(r). Find x, given that j(x) = 0.\nAnswer: -1, -4\/9, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180750555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*z**2 + 20*c**2*z + 45*c**2 + 13082*z**3 wrt z?\nAnswer: 2*c**2 + 78492*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/109?\nAnswer: -10\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/2*(9 + 65) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 134 + -101. Is 1100\/15 - (b\/(-9) - -3) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j + 1. Let l be k(-1). Is 22 - l\/(-9)*-3 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from hgbbbhbg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 35565 = 13*b - 10*b, 35558 = 4*r - 2*b. Calculate the remainder when r is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100100011100 (base 2) to base 7\nAnswer: 6541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by -47618?\nAnswer: -105\/23809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 12*j - 32. Let i be g(-5). Let r = -74 - -123. Let p = 51 - r. Solve -p*o + i = -1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 10, 3 = 2*d + 2*a + 19. Let p = d + 22. Let k = 46 - p. Calculate the greatest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -27.01120627622 and 93.\nAnswer: 65.98879372378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, q: 10}. Give prob of picking 1 h and 2 q.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 45*w**2 - 82*w - 180. What is f(43)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 554.4603ms in microseconds?\nAnswer: 554460.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 32*l**2 + 33*l + 66. Suppose -4*h - 4*i - 124 = -7*i, -2*h + 2*i - 62 = 0. Let d be u(h). Solve -d*z = -z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - sqrt(162)*1)**2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*z = 5*z + 63, 5*w - 64 = 4*z. Let g = -52 + w. Let j = g - -91. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93200*i = 94364*i + 8148 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137.0000222 + -137. What is w rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 1. Let g(r) = r + 27. What is -g(k) + 4*o(k)?\nAnswer: 3*k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -63*x - 312. Let q be g(-5). What is the derivative of 632*y**3 - 251*y**q - 221*y**3 - 85 wrt y?\nAnswer: 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100100001101 (base 2) to base 15\nAnswer: a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -28, -2, 2 in decreasing order.\nAnswer: 2, -2, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 19*(-1)\/13. Let r = -56 - -55.8. Sort d, 1\/6, r.\nAnswer: d, r, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 1395 = -1395. Suppose l + u = 3*l. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**4 - o**4 - 4*o**4 + (-8*o + 3*o**2 + 8*o)*(-2*o**2 + o**2 - o**2).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*t - 2*g, -6*t + 52 = -t + 3*g. Suppose -t = -2*o - 0*o. What is the third derivative of -3*w**2 - w**o - 3*w**4 - 4*w**2 + 5*w**2 wrt w?\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1673257 = 1382759. Suppose 5*q - d = 6*q. Let c = 8956016 + q. Round c to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -53 and 12136.\nAnswer: -643208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**6\/40 + 7*g**4\/24 - g**2\/2 - 4*g. Let u(r) be the first derivative of z(r). Find the second derivative of u(p) wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2460 and 94\/21795?\nAnswer: 3574380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 884 - 837. Solve 0 = y*r - 39*r + 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4 + 174*i**3 + 176*i**2 - 174*i - 175 = 0.\nAnswer: -1, 1, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 273562136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7986870*i**2*q*t**2 + 2*i**2*q*t - 55*i**2*q - 4314*t wrt t.\nAnswer: -15973740*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 9678\/7 (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.015 * 502\nAnswer: 7.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2*(-20)\/5. List the prime factors of (y - (-5)\/2)*28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 5, 2\/171?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*h + 2310*h - 1211*h**2 + 868*h wrt h.\nAnswer: -2422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s + 71*s + r = -78180, -156360 = 4*s - 2*r. Round s to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1573 or -1572?\nAnswer: -1573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268 and 241487296?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 0.234 (b) 3\/13 (c) -241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 - 2) - (4 + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o = 16, -34606 = -2*t + 4*o. Let s = t + -2458063\/142. Find the common denominator of -65\/4 and s.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 7*f - 1. Let r(u) = u**2. Let k(i) = 2*r(i) - x(i). Let d be k(7). Solve 0 = 5*c + d + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5*m + 3*b, 0 = 2*b + b + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 300099.8 millennia?\nAnswer: 3000998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1926826 is divided by 136.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 25675 = -25701 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4692 a factor of 842082624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - i = 4*g + 1, -5*g - 1 = 4*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12941*q**4*w**2 - 13*q*w**2 + 8541*w**2 + 23 wrt q?\nAnswer: -51764*q**3*w**2 - 13*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-8))**49*(p*p**(-9))**(1\/49))**(3\/13) assuming p is positive.\nAnswer: p**(-57648\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:48 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 9*x - 6. Let l(y) = -y**2 + 12*y - 27. Let m be l(5). Calculate u(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 0. Let r be ((-160)\/(-26) - 8) + 2. Which is the third biggest value? (a) z (b) -4 (c) r (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -343, -700, -1167, -1732, -2383, -3108, -3895?\nAnswer: -4732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - 18*a + 613. Let y be i(9). Solve -y*q = -9*q - 222 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5*2*sqrt(112))\/(((sqrt(8) - sqrt(32))*-2)\/sqrt(2))*5)**2.\nAnswer: 300*sqrt(7) + 17509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 218001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 3699?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/25)\/l**22 assuming l is positive.\nAnswer: l**(-552\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 407584.7 weeks in days?\nAnswer: 2853092.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10212232 (base 4) to base 14.\nAnswer: 6c34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*m**5\/3 + 160*m**4\/3 + 86*m**3 + 140*m**2\/3 + 16*m\/3 = 0. What is m?\nAnswer: -4, -1, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o + 278. Determine v(-43).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -229*s**2 - 322?\nAnswer: -458*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12860*i**5*x - 293*i**3*x**3 + i*x**3 + 18*i*x**2 - 95*i - 491*x**2 + x wrt i?\nAnswer: 257200*i**3*x - 1758*i*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 3*l**2 - 6*l**2 - l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126003.\nAnswer: 3, 97, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (175\/105)\/(455\/(-42)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m. Suppose m = d - 5*d + 4. Suppose 3*a - 8 = 5*n, -5*n + 4*a - 3 = d. Sort -1, 2, n in decreasing order.\nAnswer: 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/24)*s**13*s)\/(s**(4\/9)\/s)**(-10\/9) assuming s is positive.\nAnswer: s**(8699\/648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 364588.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5545 (base 12) to base 8\nAnswer: 22305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, 1\/6, 4\/9, 1, 10 in decreasing order.\nAnswer: 13, 10, 4, 1, 4\/9, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 63675.91 centuries?\nAnswer: 6367591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24814367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 220\/14 - 6\/(-21). Suppose -3*x + q = -10, 4*x = -q + a - 5. Suppose 4*s = x*s - 5, 2*v - 33 = 5*s. Solve -v*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**2. Let a(l) be the second derivative of -l**3\/6 - 17*l**2\/2 - 9*l + 18. Give x(a(c)).\nAnswer: -6*c**2 - 204*c - 1734","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 5 = 2*o. Let a = o - -3. Find the third derivative of 0*s**a + 2*s**2 + 2*s**4 - 4*s**4 wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from nzzzzzjzzzz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.042 in -3\/2, -4, -1.28?\nAnswer: -1.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - p**3 + p**3)*(6*p + 35*p + 7*p).\nAnswer: 48*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 11*k**2 + k + 14. Let z be p(-11). Let q(x) = -x**3 - 20*x**2 - 53*x - 13. Let s be q(-17). Suppose z*f - 10*f = -s. Solve -f = 3*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 13. Determine p(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (120\/18)\/5*(-3)\/2. Calculate the lowest common multiple of 40 and 20 - 36\/(-27)*(-3)\/t.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2. Let h be w(-1). Let v be (-2)\/4*569\/h. Let y = 71 - v. Put -1, y, 4 in ascending order.\nAnswer: -1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29955311060 rounded to the nearest 100000?\nAnswer: 29955300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d**2 - 106789*d + 106791. Calculate p(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1791*c**4 - 9002 + 18001 - 8975 wrt c.\nAnswer: 7164*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -3*y - 2*l, -y - 2*l + 44 = -l. Let b be 84*(-2 + 16\/6). Suppose -b = -5*n + z - 21, -4*z = 3*n - y. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24556614, -24556596, -24556566, -24556518, -24556446, -24556344, -24556206, -24556026?\nAnswer: -24555798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 204 = 2*b - 21, 2*c + 4*b - 90 = 0. What is the remainder when (-8 - -10)*(4 + c) is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112 - -119. Solve 5*l = -b*m + 4*m, m = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**5 - 33*u**4 + 42*u**3 - 18*u**2 - 3*u + 3.\nAnswer: 3*(u - 1)**4*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*w + 2*w. Let p be (w\/(-3))\/(2\/(-102)). Solve 9 = -5*n + p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 212934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 80, 112, 166, 248?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66\/127 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose j = 2*g - 7, -g + 1 + 3 = b. Let v = 8 + j. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11921473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(64)\/sqrt(2) + 1*sqrt(64)\/sqrt(2) + 5 + (sqrt(192) + (-2*sqrt(192)*-6 - sqrt(192)) + sqrt(192) + sqrt(192))\/sqrt(6) + 5.\nAnswer: 10 + 76*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)\/((s\/(s\/((s**(-9)\/s)\/s)))\/s))**11*(s**(3\/2)\/s*((s*s**(-8))\/s)\/s)**(-2\/3) assuming s is positive.\nAnswer: s**(859\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -8*b + 2. Let d be y(-4). Let c(k) = 10*k**2 - 6*k + 10. Let s be c(2). Let z = s - d. Sort 3, z, -4.\nAnswer: -4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-2) + 0 - 1157992\/(-43 - -21)?\nAnswer: 13, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21.5 and 2.9095?\nAnswer: 18.5905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s. Let a(z) = 231189118*z - 2. Determine a(f(q)).\nAnswer: -231189118*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 113*r + 4524 = 43*r for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atue when four letters picked without replacement from {u: 2, e: 1, i: 3, t: 6, a: 2}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125 - -129. Solve 1 = -n*v - 5*x, 3*x - 7 + 5 = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 215, 235, 275, 341, 439, 575?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, u: 5, f: 2, i: 3, y: 1}. What is prob of sequence fu?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 1, -3, 260.\nAnswer: -3, -2, 1, 4, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8408.47mg to micrograms.\nAnswer: 8408470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/348 and -121\/5916.\nAnswer: 5916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131 and 109.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**3 + 2*s**2 - 2*s - 1. Let t(i) = 7*i**3 + 5*i**2 - 5*i - 4. Let n(r) = 3*b(r) - t(r). Let m(z) = z**2 - z + 1. Let a be m(1). Give n(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 26*x + 67. Let f be z(3). Let g be (6387 - -13)\/(f\/370). Round g to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-6)\/(-28)*6. Suppose -3*v - v = 0. Let m be v\/(-1 - 0\/(-2)). Which is the nearest to -0.1? (a) m (b) 2\/17 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 5:34 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o - 16*o + 3*o in the form z + m*o and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2, -33?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*l - 2*w = -6, 2*l = 5*w - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 127058, 254760, 382464, 510170, 637878?\n\"Answer: x**2 + 127699*x - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5926310 is divided by 2174?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2083.750168 - -0.050168. What is w rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*z**3 + 155*z**2 + 392*z**3 - 765*z**2 - 190*z**3.\nAnswer: 6*z**3 - 610*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4367 - 0.4.\nAnswer: -4367.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*m - 39 = 4*m, -4*m + 125 = -5*x. Let o be 2 - x*(0 + 1). Let f = o + -19. Calculate the greatest common divisor of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9)*(-81)\/72.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 + 3*z**2 + 2. Let o(l) = -l**3 + l**2 + l + 1. Calculate f(s) - 2*o(s).\nAnswer: 4*s**3 + s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1236 by 6.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, m: 1, h: 2, g: 1, q: 12}. What is prob of sequence sqg?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10725, -11882, -13809, -16506?\n\"Answer: -385*u**2 - 2*u - 10338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*d + 4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1776 and 14208?\nAnswer: 14208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:55 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*c - 0*s + 9, -4*c + 12 = -4*s. Find the third derivative of -c*f**5 + 3*f**2 - 4*f**2 + f**5 wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*a - 1730 - 288 - 142. What is the highest common divisor of a and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10.103 and 2.8?\nAnswer: 12.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.518 and -261.6796464?\nAnswer: 258.1616464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 124228 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.268826 meters?\nAnswer: 7268826000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 267.075 milligrams?\nAnswer: 0.000267075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 8 = -6*w - 2*r, -5*r = 2*w + 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2. Let u(b) = b**2 + 5*b + 4. Suppose -5*o = -o + 20. Let y be u(o). Let i(n) = -2*n + 2*n - y*n + n. Calculate i(c(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -30298408890 rounded to the nearest one million?\nAnswer: -30298000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2\/4 - 65835*s\/4 - 9412605.\nAnswer: 5*(s - 13716)*(s + 549)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.12, 4, 2.5, -8\/513 in decreasing order.\nAnswer: 4, 2.5, -8\/513, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**13*s)\/(s\/(s\/s**(16\/5))) assuming s is positive.\nAnswer: s**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpjrnpjjjp. What is prob of picking 2 p, 1 n, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -44. Let v = s - -164. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681409 = 7366*u + 18361 for u.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -63*k**2 + 2*k + 1168. Let o(i) = 129*i**2 - 3*i - 2336. Let l(u) = 7*m(u) + 3*o(u). Differentiate l(g) with respect to g.\nAnswer: -108*g + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1510 + -8651?\nAnswer: -7141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12394198 to the power of 1\/2, to the nearest integer?\nAnswer: 3521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, -57, -202, -479, -930, -1597?\n\"Answer: -7*s**3 - 3*s**2 + 3*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 536\/(-3015)*(-5)\/(-2)*(-147)\/(-980).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 1 = j, -7 + 9 = -n + j. Let q(p) = -p**3 + p**2 - 4*p + 2. Determine q(n).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -2*u, -u - 31 = -3*o. Let k(y) = -y + 12. Let x be k(o). Suppose -1 = -a + x, -5*r + 32 = 3*a. Put -4, r, 8 in ascending order.\nAnswer: -4, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 0.5.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 98*j - 2430. Give y(6).\nAnswer: -1842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -279\/1123 + 632123\/80856. Let n = -57\/8 + l. What is the closest to -2 in 5, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/21)\/w)\/w*w**(2\/31)*w**(1\/4)*w**3 assuming w is positive.\nAnswer: w**(3671\/2604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2400 = -2332. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -u - 36. Suppose -4*w + u = w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b. Let l(n) = -n - 2*n - 2*n. What is 4*f(g) - l(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 95 + -95. Suppose j + 8\/5*f**2 - 2\/5*f**3 - 8\/5*f = 0. What is f?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*h**4 - 14*h**2 + 331 wrt h.\nAnswer: -60*h**3 - 28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -37, -31?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.4, -12, 0.35, -3?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 521494, 520846, 519766, 518254?\nAnswer: 516310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-2 - 1) + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -l + 3. Let g(p) = -14*p**3 + 4*p**2 + 32*p - 3. Let j(h) = 5*h**3 - h**2 - 11*h + 1. Let t(o) = 4*g(o) + 11*j(o). What is the units digit of t(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 924276695 divided by -191.\nAnswer: -4839145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49698371\/15 + 3323645. Let h = -10414 + v. Find the common denominator of -7\/3 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/17)\/(1\/2). Let j = 80901 - 80899. Which is smaller: k or j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24490 = 766*p + 24*p for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11836, 46591, 104510, 185587, 289816?\n\"Answer: -j**3 + 11588*j**2 - 2*j + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in milliseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 16, q: 2}. What is prob of picking 3 b?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 10*v**2 + 8*v + 10. What is x(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3782217, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of c**2\/2 - 4*c + 1. Let j(h) = -1. Let z = 4 - 1. Let u be (-15)\/10 + (-1)\/(-2). What is u*v(g) + z*j(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96 - 105. Is 2 a factor of 95\/19 + (-1 - g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 22*f - 332. Calculate the smallest common multiple of 23 and c(16).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*k + 120*k - 85*k = -2760 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -3*z, 0 = -z + 6*z - 4*o + 3. Let q = -7 - -4. Let v = -6 - q. Which is the third smallest value? (a) z (b) v (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 6)\/(60\/(-40)). Suppose 11*p - s*p + 35 = 0. Let f = 262 + -1333\/5. Which is greater: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8047 or 8046?\nAnswer: 8046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2501776?\nAnswer: 2, 156361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15400154 is divided by 3236.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 3*b + 3*b)*(1835 - 101 + 2121 + 1192).\nAnswer: 40376*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16383 is divided by 304.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*n + 60*n = 5148 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 43615?\nAnswer: 43610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 2. Suppose -2*r + 7 = 27. Let v(g) = 3*g + 5. Let d(b) = r*o(b) - 4*v(b). Let c(t) = -4*t**2. Determine d(c(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/23))**(-32)*(c*c\/((c**(-4\/7)*c)\/c)*c)\/(c*c*c**13\/c*c) assuming c is positive.\nAnswer: c**(-2288\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/72*-6)\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b + 7. Let k(o) = o + 29. Let w be k(-22). Suppose -w*x - 11 = -67. Determine u(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 294*w - 3989. Determine m(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6801471646 and 4?\nAnswer: 6801471650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) + sqrt(15))*-1)\/sqrt(5) + -3)**2*3 - (-5 + (sqrt(48) - (sqrt(48) + sqrt(1728))) - (sqrt(48) - (0 + sqrt(48))*-4)).\nAnswer: 134*sqrt(3) + 257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118934 = 2985*w + 46681 - 1440 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 15115, 0.29 in decreasing order.\nAnswer: 15115, 0.4, 0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162728 is divided by 395.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -15714 and -4.\nAnswer: -15718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Suppose 142 = b*l - 8. Calculate the remainder when l is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*c + 19248, 60*n = 58*n + 4*c + 19288. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127.92594 - 0.07406. Which is the second smallest value? (a) -1 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4496126 to the power of 1\/2, to the nearest integer?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245347 is divided by 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -2, 1, -0.3, 14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b. Let v(s) be the first derivative of 3*s - 2 + 0*s**3 - 1\/5*s**5 + 0*s**2 + b*s**4. What is the first derivative of v(q) wrt q?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 1005 = 14*j - 921. What is the fourth smallest value in -3, -0.37, 0.2, -5, j?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.58 (b) 16\/17 (c) 0.2 (d) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2536, -2530, -2524, -2518, -2512?\nAnswer: -2506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/9)\/((-4)\/(-3)). Let a(d) be the second derivative of 0 - s*d**4 + 0*d**3 + d**2 + 3*d. Suppose a(i) = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) - (0 + -2*sqrt(304)))**2*-1.\nAnswer: -2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 minutes before 7:46 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218 + 218 - 48*z**2 - 23*z**2.\nAnswer: -71*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 1248935.\nAnswer: 17\/1248935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 23915 + -80.9195\nAnswer: 23834.0805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 45*h**2 + 10*h - 11. Is n(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37632 and 133632.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 198603, 397208, 595813, 794418?\n\"Answer: 198605*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -6377\/26, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*x = -6, 12*q - x + 6 = 11*q. Let b(w) = 4*w**2 + 19*w + 11. Give b(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/90 or 0?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/1 - 0) + 4. Let m(t) = -64 + x*t**2 - 4*t**2 + 55 - 13*t. List the prime factors of m(-6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-26)*((-2100)\/(-625))\/21\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39\/121 - -6124\/605. Is a bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/186296 and 54\/319.\nAnswer: 186296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 73, 116?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -64, -60, -38, 8, 84, 196?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 127.45*0.5.\nAnswer: 63.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 3*w. Let g(b) = b**2 + 2*b. Let u(z) = 3*a(z) - 4*g(z). Find r, given that u(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l*p*r - 5089687*l*p - l*r + 4*p*r + 105945*r - 1 wrt r.\nAnswer: 4*l*p - l + 4*p + 105945","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y. Let l(s) = 2*s - 34614. Calculate l(a(u)).\nAnswer: -6*u - 34614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 e when three letters picked without replacement from eeiisiseesesemse.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -372.\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*c - 1237, 1991 = 5*c - 4*k + 28. Calculate the smallest common multiple of 420 and c.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 6345.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9*r - 4. Let w(q) = -8*q**2 - 51*q - 17. Let b(x) = 2*x**2 + 18*x + 6. Let u(o) = 17*b(o) + 6*w(o). Give y(u(d)).\nAnswer: -126*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 31 - 19. Solve r*a - 14 = -5*x, 0 = 4*x - x - 3*a for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -0.1, 1\/3, -69?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253 = 4*i - 5*b + 263, -i = b - 2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4223 - 3976. Put -0.3, -5, w, 5 in decreasing order.\nAnswer: w, 5, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 8, -5 in descending order.\nAnswer: 8, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, n: 2, h: 4, d: 1}. Give prob of sequence dnn.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1053 (base 7) to base 14.\nAnswer: 1d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6586\/((-3382)\/(-19))*1\/(-1)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**2. Let w(i) = -i**2 - i - 1. What is -2*k(l) + 2*w(l)?\nAnswer: 2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -262 + 376. Let l = g - 113.95. Sort l, -0.2, 0 in descending order.\nAnswer: l, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3856996 a multiple of 613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 31*c**3 + 29*c**3 + 2*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3942*m**3 - 172*m**2 + 2*m - 70. Let t(g) = -7885*g**3 + 343*g**2 - 5*g + 175. Let f(d) = 5*o(d) + 2*t(d). Find the third derivative of f(p) wrt p.\nAnswer: 23640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1439177362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 8*y + 5. Let g be v(-3). Which is smaller: g or -9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 39 = -5*a - a + 3*a - 21, 0 = -2*t for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*51\/(94095\/164)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 - 3*s**2 - 5*s**2)*(-2 - s**2 + 2)*(20 - 6 + 7).\nAnswer: 105*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dttttdtdtddtttdd. What is prob of sequence tdt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -378 divided by -1968408\nAnswer: 7\/36452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 9*y - 6. Let f be g(-9). Let s be (157 - -3)*3\/f. Round s to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 220122?\nAnswer: -220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + 0)*3\/6. Suppose -h*w + 41 = 1. Let j be 5*3*w\/6. Solve 0 = -t + 3*s + 17, 0 = -3*s - s - j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(784) - sqrt(16) - (sqrt(16) - (sqrt(80) - (-2*sqrt(80) + sqrt(80)))\/sqrt(5)))\/((2*sqrt(128)\/sqrt(4))\/(1*sqrt(576) + sqrt(576))).\nAnswer: -252*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 - (-10 - -13 - 13)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 19128 to the nearest 100.\nAnswer: 19100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1510.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19320 and 560.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 2*k**2 + 2*k - 2. Let y be f(2). Suppose -4*d - 20 = 5*w, -3 = d + 2. Find the second derivative of 0*s**5 - 2*s - y*s**5 + w*s**5 wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from ddqkkvd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016654 rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 + 5*n + 1. Let p(t) = t + 4. Let s be p(-3). Let h(w) = -4*w - s + 4 - 4 + 3*w**2. Suppose -d + 3*d - 12 = 0. What is d*h(k) + 5*y(k)?\nAnswer: -2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 + 1317*w**2 - 19*w + 11*w**3 + 12 - 5 + 20*w.\nAnswer: 2*w**3 + 1317*w**2 + w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 17. Suppose 5*x + 5*u = 3725, -w + 0 = -4*u. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -458*o - 498*o + 9673 + 13271 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105*g**3*m + 2*g**3 - 524*g**2*m - 371172*g**2 + 5*g*m wrt m?\nAnswer: 105*g**3 - 524*g**2 + 5*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -0.4889?\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28\/123 or -1?\nAnswer: -28\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.128 - -0.254. Let h = i - 3.126. Let p = -1\/28 + 2\/7. What is the smallest value in p, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -45) + (-23 - (-33 + -36)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 9*m - 8 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, l: 4, u: 2, b: 1, w: 1}. What is prob of picking 1 w, 1 c, and 1 u?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3*4\/12*(-90)\/495\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 + 2. Let f(x) = -x**3 + 1. Suppose 0 = 4*b + 4*q, 3*b + 2*b + q - 4 = 0. Let c(j) = b*l(j) - 3*f(j). Find the first derivative of c(n) wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5313, -9012, -12711?\nAnswer: -16410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 8668841551\nAnswer: -8668841551.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75296 divided by -4.\nAnswer: 18824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - b, 0*b = -3*d - 3*b. Let f be 18 + (d\/3 - 1). Let j = f - 2. Solve -j + 3 = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 490*v + 2945. Let m be t(-6). Let s be (454\/3)\/(10\/15). Let a be 6\/(-15) - s\/(-5). Calculate the highest common divisor of m and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3127 (base 8) to base 13.\nAnswer: -97b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -782 = -12*p + 382. Let c = p + -387\/4. What is the second smallest value in c, -3\/2, -4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 27*n - 12 = 3*c + 56*n, -c - 20 = -4*n for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 2 - 2)*(-4*b - 4*b + 6*b)*(-2 - 2*b + 2).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 51. Suppose 12 - p = -3*t. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {s: 4, n: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((5 - 8) + 7)*5\/4. Find the first derivative of -144 + 369*x + 14*x**4 - g*x**3 - 369*x wrt x.\nAnswer: 56*x**3 - 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 578, 1161, 1742, 2321, 2898, 3473?\nAnswer: 4046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from saafafsfasssssfa.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -459*b*j**4 + 4*b + 5 with respect to j.\nAnswer: -1836*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.4958 + -0.4958. What is the biggest value in o, -1\/8, -0.5, -0.3, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4586.\nAnswer: 2, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 3*n. Let x(h) = -h**3 + 2*h + n*h + 4*h**3 + 1 - 23*h**3. Is x(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -1999 (c) 28 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.2 + -14. What is the closest to -2 in l, -3\/2, 4\/3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -33. Let o = -1 - -4. Calculate the greatest common divisor of o and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdr when three letters picked without replacement from dararq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -133) + (-820 - -806).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 16 = -2*n, -3*w - 37 = 5*n - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 + -6.1. Let l = r + -1.2. What is the biggest value in 0.4, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -36, 130, 442, 948, 1696, 2734, 4110?\nAnswer: 5872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5.708652 centuries?\nAnswer: 570.8652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2039353 to four decimal places.\nAnswer: -0.2039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.83 - 0.83. Let n = 0.19 + -25.19. Let g = -29 - n. Which is the closest to 0.2? (a) g (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 9. Let j(a) = -13*a**2 - a + 1. Let m be j(1). Let s(y) = -4*y + 15. Let n(g) = 7 - 3*g + 2*g - g. What is m*n(u) + o*s(u)?\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from {k: 3, u: 2, b: 6, a: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 6 + 0 = 0. Let s be (2\/n - -2) + 1. Suppose -3*g + 2*v = 2*g + 2, s*g = -4*v + 4. Solve 2*y - 1 = 3*b, y - b - 2 = -g*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 2. Let r(f) = -2*f**2 - 38*f + 3. Determine r(m) + 2*t(m).\nAnswer: -4*m**2 - 38*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nineteen quarters of a centimeter?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 962 and 60125?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47789\/355466 + -12\/1997. Let x = -1065 + 8507\/8. What is the common denominator of h and x?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 863*w**2*y**2 - 4*w**2*y + 19*w*y**2 + 8*y**2 wrt w?\nAnswer: 1726*y**2 - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2\/5, 10\/7 in ascending order.\nAnswer: -3, -2\/5, 10\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162*u**4 - 846*u**3 + 830*u**2 - 154*u + 8.\nAnswer: 2*(u - 4)*(u - 1)*(9*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53d2c (base 14) in base 5?\nAnswer: 22443100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -14*a**3 + a**2 - 1. Let z be t(1). Let r = z - 1. Is 3\/(9\/r)*-7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = l - 4, 0 = -3*c + 8*c - 30*l + 31*l - 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**5 - 21*l**2\/2 - 11. Find the second derivative of y(k) wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0732 + -93.0068. What is m rounded to the nearest integer?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 + 5*i**2 - 21*i - 106. Calculate the remainder when 5352 is divided by s(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153324910858 - -1073.\nAnswer: 153324911931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*s + 16, -6*r + r = s - 44. Let k(f) = 3*f - 9. List the prime factors of k(r).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 42 - 12 = 0. Which is the second smallest value? (a) -1\/4 (b) -0.07 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41036 (base 9) to base 15\nAnswer: -8006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3006, -1033, 992, 3093, 5294?\nAnswer: 7619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-584)\/(-10220))\/((2\/9)\/((-20)\/6)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j. Let p(t) = 1 - t - 1 - 4*t. Calculate p(k(n)).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14142148168719 minus -0.9?\nAnswer: -14142148168718.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22216 + 2?\nAnswer: 22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54.40442 - 2.59674. Let w = -48.55 + -8.45. Let g = p - w. What is g rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbjz when four letters picked without replacement from {s: 6, j: 4, b: 2, l: 1, z: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65794583 to the nearest integer?\nAnswer: 8111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 981 at least as big as 36294\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i. Let n(j) = -68*j. Calculate z(n(u)).\nAnswer: 340*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147641 (base 8) to base 16.\nAnswer: -cfa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c + 6. Let t(a) = -31*a - 12. Determine 4*t(u) + 9*z(u).\nAnswer: 11*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 + 231.03. Let j be (-27)\/6*(-10)\/(-24)*-5. Let f = j + -659\/72. Which is greater: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -2\/7, -2\/3, -25, -0.03, 2 in descending order.\nAnswer: 27, 2, -0.03, -2\/7, -2\/3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 - 17*w - 1. Let a(n) = 8*n**2 - 34*n - 3. Let j(p) = -3*a(p) + 5*t(p). Determine j(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.562, 2, -2, 0, 1.1 in descending order.\nAnswer: 2, 1.1, 0, -0.562, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 79644334877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*d - 20280 = 132*d. What is the highest common divisor of 480 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -66*j**2. Let g(s) = -3*s**2. Calculate y(g(h)).\nAnswer: -594*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 825 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 342895048 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -7. Let y be 0\/(3*(-2)\/(-6)). Suppose y = -n - 4 + 9. Calculate the lowest common multiple of n and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -419*w + 1203*w + 24304 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12470, 24966, 37462, 49958, 62454, 74950?\nAnswer: 87446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -272, -362, -452?\n\"Answer: -90*w - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -2512645?\nAnswer: -2512640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1 (b) 36 (c) 5 (d) 0.2 (e) 0.11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/119, -2\/3, 2?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 908\/21 - 82430\/346206.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 0.7, -2\/3, 3, 144 in increasing order.\nAnswer: -2\/3, 4\/9, 0.7, 3, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3263 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15471 and 17381.\nAnswer: 1407861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 100*z - 100*z + 2*z**2 + 11*z**3 to k*z**3 + w*z + m*z**2 + y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69692 and 2352105?\nAnswer: 9408420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 168 = -n. What are the prime factors of n?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 2*v - 2*w, -5*v + 2*w + 151 = 8. Suppose 2*t + 5*j = 2, t = -2*j + 6*j + v. What is the highest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.201 + 0.217.\nAnswer: -0.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 22. Let n = 55 + 12. Let v = 47 - n. Does 6 divide f(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 27, 3, 544, 0.06, 2\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2. Let d be (2 + -1)\/((-3)\/(-6)). Let g(m) = 5*m**d - 4*m**2 + 0*m**2 + 0*m**2. What is g(p(i))?\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -x + 22. Let a = -0.5 - 0.5. What is the third smallest value in x, a, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-9))\/((-24)\/1836). Suppose -j*i + 337001 = -20*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -18*h**3 + h**2 - 2*h - 2. List the prime factors of k(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 421, 411, 403, 397, 393, 391, 391?\n\"Answer: j**2 - 13*j + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22201 (base 3) in base 4?\nAnswer: -3223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*r + 328*r + 173*r + 10036 = -377*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**2 - p - 2. Let o(q) = -33*q**2 + 3*q + 9. Calculate 9*h(r) + 2*o(r).\nAnswer: 6*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(-1\/6))*u)\/u*u\/u**(-3\/7)*(u**(-1\/7)\/u)\/((((u\/u**12)\/u)\/u*u)\/u))**(3\/10) assuming u is positive.\nAnswer: u**(593\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-242)\/48 + 5)*(-2576)\/20. Let z = 88\/15 - g. Put 1\/5, 5, 311, z in decreasing order.\nAnswer: 311, 5, z, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2008 minus -0.4?\nAnswer: 0.1992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4*i - 9. Let l(c) = 5*c - 10. Let z(r) = -6*h(r) + 5*l(r). Suppose -2*u + 4 = -u. Calculate z(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 33*t**2 - 119*t - 163. Let p be o(-36). Solve 0 = p*l - 244*l + 88 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*b - 20 - 25 - 11 + 54 + 18*b**4 as l*b**3 + t*b**2 + c*b + k + o*b**4 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.04, -1\/3, 1, 0.89?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*u + 5*a - 4, u = -3*a + 2. What is the remainder when 3 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55856 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80641 is divided by 521.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -328 - -352. What is the remainder when x is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 245106841 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 347, 250, 89, -136, -425, -778?\n\"Answer: -32*y**2 - y + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2529*h - 655001. What is r(-259)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - f - 2. Let k be w(4). Let t be k\/(-10) + 2 + (-1)\/5. Differentiate -107*l**t - 6 - 9 + 115*l**4 with respect to l.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (8 - (-1 + 6)) + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 36*r**2 + 207*r + 82. Let i be v(-41). What is the second biggest value in 5, i, 22\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-0.112\nAnswer: -0.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -177\/4. Let s = -10052 - -10052.3. Put -0.07, s, -3, t in increasing order.\nAnswer: -3, -0.07, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 7*b - 5. Let z be k(-5). Suppose -8 = -z*c + 2. Suppose 0*a + 194 = 2*j + a, 194 = c*j - a. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4\/3 - 983*t**3\/3 - 1975*t**2 - 8897*t\/3 - 3956\/3 = 0. Calculate t.\nAnswer: -4, -1, 989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -162 + 203.6. Let z = s + -47. Let y = z + 6. What is y rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 4, h: 1, e: 3, c: 7}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxgsl. Give prob of sequence sgrx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 304.7\nAnswer: -304.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 1, q: 1, y: 9}. What is prob of sequence yr?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150 - -150. Solve 0 = -5*o - a*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211888 = -2771*t + 413*t - 75788 for t.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245 a factor of 611402070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-5 + 0 + 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17463034 and 1051990?\nAnswer: 87315170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -3*q - 5*a, -2*q + q + 38 = a. Calculate the remainder when 145 is divided by q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**2 + 233*g**4 + 3 - 6 - 3764*g**4 - g**3. Let q be j(2). What is q rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 728 - 15?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u + 14*u - 3*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.169 (b) -1\/2 (c) 1\/8 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3*j + 17 = -h, 3*j - 5 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*n**3 + 129*n**3 - 752*n**3.\nAnswer: -1687*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3269 is divided by 62.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 3. Let o(f) = 8*f + 8. Let m(w) = w**2 + w - 1. Let i(g) = m(g) + o(g). Let x be i(-10). List the prime factors of t(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -6 (b) 1\/45 (c) -4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -z**5 + 757540*z**3 + 40379210*z wrt z?\nAnswer: -20*z**3 + 4545240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*21\/(-35)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {m: 8, z: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5231 + -4.396?\nAnswer: -3.8729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-220)\/12)\/(-5)*(-6)\/(-2). Calculate the highest common divisor of w and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l**2 - 3*l + 2. Calculate the remainder when 242 is divided by s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-140))\/(-29*14\/(-127890))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18818*p**4\/11 - 74108*p**3\/11 + 98728*p**2\/11 - 5892*p\/11 + 90\/11 = 0 for p.\nAnswer: -5, 3\/97, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -71*g**2. Let u(z) = 8*z**2 + 62*z - 6. Give u(o(i)).\nAnswer: 40328*i**4 - 4402*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*u + 181723 = 4262. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + sqrt(539)))**2.\nAnswer: -1750*sqrt(11) + 14100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -489.2741 + 1.\nAnswer: -488.2741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12033 (base 4) to base 8\nAnswer: -617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 29*l - 23. Let f be i(12). Suppose -6*u = -f + 31. Calculate the highest common divisor of u and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 21*c - 51*c + 16*c)*(6*c**2 - 4*c**2 + 0*c**2 - 2).\nAnswer: -28*c**3 - 12*c**2 + 28*c + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 11*x + 36 = 6*x, x + 4 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-4))\/((-1015)\/3190)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, b: 3, s: 2, r: 2, c: 2, m: 4}. What is prob of sequence mbmr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 518705*g*j*x**2 + 350*g*j*x - 2*g*j - 72*g*x + 2*j*x + x**2 - x + 2 wrt x.\nAnswer: 1037410*g*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-84) - (1 - ((-195)\/(-63) - -2)). Calculate the greatest common factor of s and 5652.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000432 rounded to 7 decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 801, 3263, 7367, 13113, 20501?\nAnswer: 29531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 u when three letters picked without replacement from pupppuupupuup?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(117) - (4*sqrt(117)*1 + sqrt(117))) + sqrt(117))\/(sqrt(81)*2).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27.348228 and -0.1?\nAnswer: 2.7348228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 408380023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91.99 + -0.01. Let n = 91 + q. Which is the nearest to -1? (a) 13 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/(-8)*(-17)\/(9248\/384).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 44*m - 1645. Calculate the remainder when m is divided by -2 + 8 + (0 - (8 + -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/32511 and 157\/1584?\nAnswer: 17165808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142\/13 - -109456\/10023. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5763035.711 rounded to the nearest 10000?\nAnswer: -5760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 695, -36, -276 in increasing order.\nAnswer: -276, -36, 695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 53*d + 13. Let m(o) = 17*o**2 - 5*o. Let t(v) = -24*v**2 + 7*v. Let u(i) = 7*m(i) + 5*t(i). What is a(u(r))?\nAnswer: -53*r**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = y - 3*y. Suppose -y*n + 1 = -19. Suppose -5*q - 22 = -a, 0 = n*q - 3*q + 8. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (603 - 959 - 560)*(-4*n**2 - n**2 + 4*n**2).\nAnswer: 916*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 213927954 less than -70?\nAnswer: -213928024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 5*i + 2. Let y be h(-4). Calculate the remainder when 4 is divided by y\/(-13) - (-74)\/26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-1276) - 0\/((-8)\/72*-9)\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -618 = -3*h + 5*b - 466, -3*b = -5*h + 296. Solve -h = 59*a - 67*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.7. Let x be (-17 + 12 + 6)\/((-20)\/4). Which is the closest to u? (a) -1 (b) x (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4940867 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/60 - 5*w**4\/12 + 7*w**3\/3 + 8*w**2. Let h(m) = -m - 4. What is the remainder when s(9) is divided by h(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n = -35 - 136 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -600210 divided by -135.\nAnswer: 4446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a factor of 389841897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 5 = -3*t, -5*t = -5*n. Suppose 0 = -2*s + z + t, -2*s + 5*z = 3*z. What is the highest common factor of s and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y + 1. Let m be u(-1). Suppose 3*g - 2*j = -0*g + 1, -3*j - 3 = -5*g. Suppose 1 = 4*o - g*o, 3*w - 13 = -o. Are w and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**4\/4 + 29*k**3\/3 + 27*k**2\/2 + 51*k + 50. Calculate the remainder when s(-28) is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 5. Let c = t - -8.2. Let s = 8 - c. Which is greater: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25155745 to the power of 1\/2, to the nearest integer?\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(312)*-1)\/sqrt(12) + sqrt(26) + ((2*sqrt(312))\/sqrt(12) - sqrt(26)))*-6)\/(-4*sqrt(162) + sqrt(2) + 3*sqrt(288) + sqrt(2)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005022 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -347?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g - 58. What is o(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q - 3. Let o(t) = 4*t + 3. Let x(f) = -6*b(f) - 5*o(f). Suppose 2*p + 10 = 7*p. Calculate x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138116 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24473\/494 + -10\/247. Let v = o + -48. What is t in 3\/4 + 3\/4*t**2 - v*t = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 9*l = 5*c + 10 + 45, 0 = -2*l + 13*c + 66 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 2. Let v(n) = n**3 + 5*n**2 - 3*n - 2. Let g be v(w). Suppose -225 = -4*o - q, o + 4*q - g = -o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406380 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 6:14 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138717, -555142, -1249177, -2220816, -3470053?\nAnswer: -4996882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 260170*c. Let f(d) = d - 11. Calculate f(z(x)).\nAnswer: 260170*x - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, s: 6}. What is prob of picking 1 t and 2 s?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-2))\/(4\/20). Suppose j*o = 5*z - 145, -z + o = 5*o - 19. Solve 2*r = d + 13, -3*d - 4 - z = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -293 - -1179\/4. Let l be 19 - 19 - (1 + 0). Which is greater: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9771, 39131, 88071, 156597, 244715, 352431, 479751, 626681?\nAnswer: 793227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x**3 + 9*x**2 - 13*x**3 - 13*x - 12*x**3 + 0 - 1 + 32*x**3. Give a(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (2 + -6 - 6 - -1 - 0)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13475 - 81)*(2 + -1)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 1\/7, -1\/9, 4, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + (2 + sqrt(2299))*-2))**2 + 5*(sqrt(2736) + sqrt(2736) + -1 - (sqrt(1900) - ((-3*sqrt(1900))**2 + sqrt(1900)))).\nAnswer: 9624*sqrt(19) + 417847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and -164890?\nAnswer: -230846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Suppose 5*y + 5*v = 90, h*v + 5 = 2*y - 11. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Let f(i) = 206*i. What is f(o(l))?\nAnswer: 412*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 6:50 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -42914.0901 rounded to the nearest integer?\nAnswer: -42914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -n. Suppose -4*f + n*w + 16 = -0*f, 0 = -3*f - 3*w + 12. Solve v = 4*z - 2*v - 7, -22 = z + f*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*o + 28 = 0, 4*o = -350*n + 345*n - 35 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajy when three letters picked without replacement from jneeajyjlye?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + j + 4. Calculate z(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6014020 - 15?\nAnswer: -6014035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 2. Let u be j(0). Solve -4*s = 2*g + u, 4*g - 20 = 6*s - 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.143 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from {v: 3, q: 2, n: 1, w: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32*(-4)\/((-16)\/9)*136\/592. Is 17 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319581038 to the power of 1\/3, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 934.7103l in millilitres?\nAnswer: 934710.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 42\/11. Let t = -17 + 9. Let b = 7.6 + t. Sort j, 1, b in decreasing order.\nAnswer: 1, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1500928 and -75\/59696.\nAnswer: 10506496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 - -65) + -2*3\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1630*f**2 + 26*f - 7*f - 1625*f**2 + (-2*f - f + 2*f)*(2*f + 1 - 1).\nAnswer: 3*f**2 + 19*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32568196.\nAnswer: 2, 8142049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*w - 3*u, -3*w + 50*u = 46*u - 11. Let y be (645\/w)\/((-4)\/(-1) - 3). Which is bigger: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3, -16.1, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 - 3*p**3 + 12*p**2 - 22*p**2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b + 25. Let y be a(5). Suppose -4*l = -3 - y. Suppose -5*v + 10*v - 37 = -l*g, -119 = -4*g - v. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 242196138.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/9 + 218*n\/3 - 5104\/9.\nAnswer: -2*(n - 319)*(n - 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -1.1. Let m = 0.19 - 0.08. Let n = m + 0.19. Which is the third smallest value? (a) n (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579973073.\nAnswer: 579973073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l - 14. Let w be j(2). Suppose 22*z**3 - 16*z + 2*z**2 - 4 + w*z**2 - 6*z**3 = 0. Calculate z.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/25 (b) 5\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 779216, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34783192?\nAnswer: 2, 4347899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -3165?\nAnswer: -3167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1660334?\nAnswer: 2, 13, 19, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -2*f**6\/15 + 53*f**5\/5 + f**4\/3 - 106*f**3\/3 - 1042*f. Let d(o) = 0. What is o?\nAnswer: -1, 0, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1250 and 450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/m**37)\/m))\/(((m**(-9)*m)\/m)\/m*m)*(m**(-3\/4)*m)**(-22))**(-44) assuming m is positive.\nAnswer: m**(-1826)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by (8\/(-24))\/((-2)\/186)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17455 or 17453?\nAnswer: 17453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*i + 62. Suppose 2*o - 51 = c, 3*o - i = 2*o + 3*c. What is the remainder when 35 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:18 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 0 + 0*f**3 - 1\/210*f**5 - 1\/84*f**4 + 0*f - 3*f**2. Find u such that y(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0619 and 2.\nAnswer: 2.0619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14740, -0.23, 0.3, -0.1, -0.3.\nAnswer: -14740, -0.3, -0.23, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*sqrt(68) + sqrt(68) - sqrt(68) - sqrt(68)) - sqrt(68) - 6*sqrt(68)*5)\/(sqrt(3600) - (4*sqrt(3600) - sqrt(3600))*1).\nAnswer: 23*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -66*m**2. Let u(g) = 3152996*g**2. What is r(u(k))?\nAnswer: -656131329217056*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 798?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 220, 922, 2106, 3772, 5920, 8550?\n\"Answer: 241*i**2 - 21*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -35) + -1490 + 1443?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b - 5. Let l(q) = -3*q - 4. Let m(x) = 4*c(x) - 5*l(x). Let h(y) = -16*y**2. Calculate h(m(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 + 75. Suppose -3*g - j = -g, -b - 2 = -g. Let o(q) = 3*q - 1. Let m(a) = 9*a - 4. Let l(i) = -2*m(i) + 7*o(i). What is l(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1, 0.2, -2, -164602 in decreasing order.\nAnswer: 1, 0.2, -2\/5, -2, -164602","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**6\/36 + 2*m**5\/15 + m**4\/4 + 2*m**3\/9 + m**2\/12 - 16. Factor x(j).\nAnswer: j*(j + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -398171, -397763, -397357, -396953?\n\"Answer: -d**2 + 411*d - 398581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564839.1 millilitres in litres?\nAnswer: 564.8391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*-6.56\nAnswer: -1.3776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3\/7 - 309*b**2\/7 + 663*b - 4335\/7 = 0.\nAnswer: 1, 17, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 - 30*u + 156.\nAnswer: 2*(u - 39)*(u - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15.2*21\nAnswer: -319.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -70, -732, -2524, -6010, -11754, -20320, -32272, -48174?\n\"Answer: -94*v**3 - v**2 - v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26446 = 85*a - 26786 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 4805?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/8 (b) -24271 (c) -0.1 (d) 0.058\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 334336191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.9.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 7:01 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 7:41 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k - s - 11 = 0, 0 = -3*k - 5*s - 1. Suppose 5*h - 5*j = 15790, -j = -k*h - 2*j + 9494. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/7)*n\/n**(3\/4))**11 assuming n is positive.\nAnswer: n**(121\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7241 + 3620 + 3621 - 14*d - 8*d.\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112466224?\nAnswer: 2, 13, 540703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 204, -5, 708 in increasing order.\nAnswer: -5, 0, 1, 204, 708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 6*h**2 + 2*h - 9. Let o = -15 - -21. Let i be c(o). Put 0, i, 2 in decreasing order.\nAnswer: i, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*j + 43251008, -6 = 43*j - 46*j. Round x to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 1, 2, 7, 38 in descending order.\nAnswer: 38, 7, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (12 - 1 - (29 + -22)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 3*f**2 - 50*f + 27. Let s be j(9). Calculate the highest common factor of 9513 and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13*f**2 - 8*f + 3. Let c(a) = a**2 - a - 1. Let x(q) = 3*c(q) + n(q). What is the second derivative of x(j) wrt j?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*z**2 - 2136*z + 2136*z.\nAnswer: 85*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14280)\/189)\/(-68)*36.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2928 + -3.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let i(o) = -111*o - 10. Determine 2*a(u) + i(u).\nAnswer: -109*u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 104724*g**2 - 9*g - 10. Suppose -m - 4*m + 24 = -2*j, 21 = 3*m + j. Let n be k(m). Round n to the nearest one hundred thousand.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2322001*f*u**6 + 14*f*u**4 - 6*f*u**2 - 407*f - 1079*u wrt u.\nAnswer: 278640120*f*u**3 + 336*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 7 = 5*y - 263, -8*l + 14*l + 0*l + 258 = 4*y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 188.1 - -7916517.\nAnswer: 7916705.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/75 and 101\/786480.\nAnswer: 3932400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 3264*w**3 - 5 - 5.\nAnswer: -3264*w**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**3\/2 - 3*h - 1. Let u(y) be the first derivative of f(y). Let b(c) = -2*c**2. Calculate u(b(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61095 is divided by 4060?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8 = -2*j, 4*q - 11 = -j + q. Suppose -3*y + y + 2*z + 14 = 0, -4*y - j*z = -55. What is the remainder when 4\/(-80)*-12 - (-764)\/y is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 103215333?\nAnswer: -103215332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = i + 3*v - 35, -6 = -5*i - 3*v. Let a(j) = -j**3 - 4*j**2 - 3*j + 5. Let n be a(-4). Solve 5*u = i + n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(162) + sqrt(162) + 2*sqrt(162))\/sqrt(6) - (sqrt(3)*-3 + 0 + (sqrt(972) - sqrt(12)) + sqrt(12))**2.\nAnswer: -674 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*c = 359, -2*c = l - 148 - 35. Let t = 14 + l. Does 31 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53713 (base 12) to base 13\nAnswer: -3b02b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -7 + 22 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -73*a + 27*a + 53*a + 2 + 52*a. Let i(n) be the third derivative of -n**5\/30 + 106*n**2. Calculate i(m(r)).\nAnswer: -6962*r**2 - 472*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30\/13 + -103\/39. Let s = 181 + -3799\/21. Which is the nearest to v? (a) 0.5 (b) s (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c - 19. Let p be v(13). Let o be 14\/(-21) + p\/(-6). What are the prime factors of (-3)\/o*(102 - -2)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 0*y**2 + 5\/6*y**3 + 0 - 34*y. Determine z(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.5, 2.5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 86\/3828403?\nAnswer: 86\/3828403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*y**5 - 6*y**3 + 1660*y?\nAnswer: 320*y**3 - 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13010 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*t - 9*h + 4*h, 0 = -3*t + h + 44. Calculate the remainder when 60\/t + 32\/(-112) + -1 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54082829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2977578599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2332, 4685, 7072, 9511, 12020?\nAnswer: 14617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 116*c**2 + 58. Let p(t) = 2*t**2. Give p(g(i)).\nAnswer: 26912*i**4 + 26912*i**2 + 6728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 38675375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 956 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -527 less than -511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from {j: 1, i: 7, x: 1, h: 7, e: 2}.\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10*m**3 + m**2 + 3*m + 2. Let y be 1 + -6 - (-1)\/((-2)\/(-6)). Is z(y) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from kccckccrqrqcqcc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -318*a**3*i - a**3 + 4*a**2*i**4 - 6*a**2 - 232*a wrt i?\nAnswer: -318*a**3 + 16*a**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (9 - (7 + -5))) + (3 - 12)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.304668 and -20.5.\nAnswer: -16.195332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10581217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b. Let z(n) = 9*n. Calculate 35*w(a) - 5*z(a).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-1 + -1 - (1 + sqrt(108) + -5))**2 + (sqrt(72)\/(2*sqrt(3) + sqrt(3)))\/(sqrt(72)*-6 - sqrt(8)).\nAnswer: -4105*sqrt(3)\/57 + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in -3\/8, -0.3, -5, 20\/53, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 29 + 1070 = 0. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (154\/(-6))\/11*2\/(-35)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1041956?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(75))*-6*-5.\nAnswer: 30 + 150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17000807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-15)\/7)\/(-5))\/((-21)\/(-49)). Let b(j) = j**2. Let i be b(4). What is the highest common divisor of a and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.13.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 2*s - 3*s to f + l*s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 - 24 = 0. Suppose -4*b + v = -2*b. Find the second derivative of b*w + 0*w**3 + 2*w - 5*w**3 + 2*w**3 wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 18.7. Let u(s) = -s**2 - 2*s - 4. Let o be u(-3). Sort -1, h, o in increasing order.\nAnswer: o, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-2) - 2)*-8. Let l be (4\/(-2))\/(-2)*1. Differentiate -i - i + l + u*i wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a + 12 = -5*j, 3*a + 12 = -j. What is the lowest common multiple of 2\/(-6)*(j - 6) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-219)\/(-6))\/((-3)\/6). Let w = f - -96. Let a = w + -18. Solve 0 = 4*o + a*v + 25, 3*o - 20 = 2*v + 2*v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17476 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -13*i + 37. Let m(a) = -27*a + 59. Let j(b) = 4*m(b) - 7*o(b). What is j(-6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1632694945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 6) to base 4\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 309395*q**2 - 618805*q - 309405.\nAnswer: 5*(q - 61881)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 843144 divided by -5547\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1103868\/5 - -220777. Factor 17\/5*f**2 + 6\/5 + 1\/5*f**4 - 7\/5*f**3 - d*f.\nAnswer: (f - 3)*(f - 2)*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + -1*((2*sqrt(68) + 4)**2 + sqrt(68))*3)*-5.\nAnswer: -12975 - 1530*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 27 + -16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -389392 divided by -2?\nAnswer: 194696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 828690*j**5 - 3*j**4 + j**3 + 3192624*j**2 wrt j.\nAnswer: 49721400*j**2 - 72*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0.5, 14005 in ascending order.\nAnswer: -15, 0.5, 14005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 1. Let b be (-9)\/((-36)\/512) - -3. Suppose 4*q + k - b = 0, 3*q = -0*q + 2*k + 101. What is the remainder when q is divided by a(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 2*b. Let j be -7 - (-21 - -159*1530\/17388). Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/12*(-100)\/(-350)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 3:07 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -80, -128, -182, -242?\n\"Answer: -3*q**2 - 33*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 921539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 739*g - 148 = -743*g, -4*m = 3*g - 132 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 1. Let n(u) = -u**3 + 9*u**2 + 11*u - 15. Let l be n(10). Sort m, l, 1\/9 in decreasing order.\nAnswer: 1\/9, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15146 is divided by 106?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.8937 rounded to 0 dps?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 10*j**2 - 11*j**2 + j**3 + 9 + 2*j + 7*j**2. Let y be z(-6). Suppose 3*w - 4 = 4*u - 5*u, -5*w - 2*u + 8 = 0. Sort -1, y, w in decreasing order.\nAnswer: w, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6 + (-3)\/12. What is the second biggest value in -1, i, 0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6733.\nAnswer: 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80188601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**6\/15 + s**4\/5 - s**2\/5 - 56. Factor m(c).\nAnswer: -2*c*(c - 1)**2*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/15)*w)\/((w**(-2\/5)\/w)\/w)*(w*w**(-1\/5))**(2\/45) assuming w is positive.\nAnswer: w**(983\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-237)\/316 - (15\/4)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -3, 3\/4, -1012028?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18*(-7 + 4520\/645). Which is greater: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101392 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -342 in 15, 0.5, 2, -1\/3, -1.99?\nAnswer: -1.99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -511 - -601. Let h be 92\/30 + (192\/n - 2). Which is the fourth smallest value? (a) 0.2 (b) h (c) 0.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 85. Suppose 3*s + 23 = y. Let i = -7 + s. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 125 = 10*c, c + 2233 = 4*f + 2333 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -b, 0 = 3*q - q + 4*b - 51020. Suppose -5*k = -2*x + 6*x - 34010, 2*k - q = -3*x. Round x to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o\/o**(7\/2))))*(o*(o\/((o\/(o*o**(4\/5)))\/o))\/o)\/o)\/(o\/(o*o\/(((o*o\/o**(-5))\/o*o)\/o))*o)**4 assuming o is positive.\nAnswer: o**(-187\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 6415.96?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 18*z**2 - 15*z + 51. Let k be f(-19). Suppose 4*u = u + 225. Let g = u + k. Is g a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1201200210 (base 3) in base 6?\nAnswer: 421333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3121321022 + -111?\nAnswer: -3121321133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29.4 - 30. What is the nearest to 0.4 in -1\/2, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-110)\/25)\/(3\/(-45) + 0). Let a = 71 - f. Suppose -a*m + r + 0*r + 596 = 0, -5*m - 2*r + 608 = 0. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3798 divided by -152?\nAnswer: -1899\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-88))\/(16\/(17920\/(-24))).\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 + 182. Let w = -2451 - -2506. What is the highest common factor of p and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 62*c - 1531. Determine s(19).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {c: 7, l: 1, e: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1172*h**2 - 1815*h**2 - 1111*h**2 - 1573*h**2 - 1035*h**2 to the form t*h**2 + z*h + g and give t.\nAnswer: -4362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxyx when four letters picked without replacement from {y: 1, x: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 + 2*a**2 - 2. Let g be d(-2). Suppose 0 = -2*r - z + 2*z + 8, -3*r - z = -g. Solve 2 = 2*h - r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = 2*p - 7, 5*p = 5. Let j(z) = 8*z - 4. Let r(k) = -25*k + 11. Let g = -7 + 11. Calculate g*r(q) + h*j(q).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1098 = -2*m + 4*u, -3*m + 4*u - 567 = -4*m. What are the prime factors of m?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-16 - -28)*(-1)\/18?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35723213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w + 12. Let g be (-19)\/(0 - (0 + -1)). Calculate the remainder when u(g) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*j - 29*j + 5*j - 4*j + j + 4*j + 2*j - 3 + 3 - j - j + 4*j + (-2*j + 1 - 1)*(-3 + 1 + 0) - 2*j + 5*j - 5*j)*(-53 + 3 - 60) as d + g*j and give g.\nAnswer: 4290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 1053?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*x**3 + 1 - 2078*x**2 + 1 + 2153*x**2 wrt x.\nAnswer: -714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 + 4*w**2 - 224*w - 4. Let p(g) = 2*g**3 + 3*g**2 - 226*g - 3. Give 3*n(q) - 4*p(q).\nAnswer: q**3 + 232*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 11*o**5\/6 + 59*o**4 + 3199*o**3\/6 + 164*o**2\/3 - 12430*o - 6776\/3 = 0.\nAnswer: -14, -11, -2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1725, -11, -350.\nAnswer: -1725, -350, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -37. Suppose a - 6 = -a. Solve -4*f + 2*f = 2*u - 14, -v*u = -a*f - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*g - 79*g - 594 - 906 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 97, 91, 81, 67, 49, 27?\n\"Answer: -2*u**2 + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + ((-13)\/2)\/(55\/110).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, g: 3}. Give prob of picking 1 z and 2 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 17*d**8\/336 + 31*d**5\/30 - 47*d**2. Find the third derivative of c(a) wrt a.\nAnswer: 1020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*v**4 - 2025*v**3 + 53037*v**2 - 539387*v + 1431644.\nAnswer: (v - 4)*(3*v - 71)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 7 = -112. Let o = k + -9. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/30 + 757*c**4\/6 + 573049*c**3\/3 + 12*c**2 + 118. Determine t so that m(t) = 0.\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/17070843 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 7*l + 9*l)*(-5*l + 0 + 0)*(6*l + 3*l + 0*l).\nAnswer: -315*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-438)\/2409)\/((-3)\/15*5\/2)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1313 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 8)*(3 - 3 - 2) + 9 + 9 - 6)*(w + 2*w - 5*w + 3).\nAnswer: -40*w + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 11:49 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 44 + 17. Let w = -3 + 5. Suppose 40 = 2*f - w. What is the remainder when x is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2.388434 millennia?\nAnswer: 28661.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, 9, 91, 207, 363, 565, 819?\nAnswer: 1131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16ab - 24a?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -a - 4*v, -4*a + v + 96 - 17 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - h + 105 = 0, -4*h + 0 = 3*p - 46. Suppose -52*s + 176 = -50*s. Calculate the greatest common factor of p and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -108 + 190 + -1 + -46?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28, -40, -76, -154, -292, -508, -820, -1246?\n\"Answer: -3*r**3 + 6*r**2 - 9*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 - 23*w - 19. Determine i(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let d be p(-2). Solve -4*h - 20 = -6*t + t, 4 = -d*h + t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, m: 1, g: 1, e: 1, j: 2, l: 1}. Give prob of picking 1 e and 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47412, -47414, -47416, -47418, -47420?\nAnswer: -47422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261 = 301*m - 359*m - 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 737 - 239 - 14*o - 248 - 250.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*k + 674 = -37*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**5 + 14*y**4 - 779*y**3 - 68*y**2 - 81*y?\nAnswer: -60*y**2 + 336*y - 4674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**3 + 11*d**2 - d**2 - 2 - 4*d**3 - 2*d**2 - d - 5*d**3 as l + w*d**2 + u*d + m*d**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(175) + sqrt(175))**2 + (-5*(sqrt(7) + -1))**2 + -3 - (4 + sqrt(21)\/sqrt(3) - sqrt(7) - (sqrt(112) + 2))**2).\nAnswer: -136*sqrt(7) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110011 - 0?\nAnswer: -110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15125 - -364?\nAnswer: 15489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-9) + (56\/90)\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70570?\nAnswer: 2, 5, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from {d: 2, n: 1, y: 1, x: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21 - (-1 + -4 + 6). Suppose 60 - o = 10*k. Suppose 0*i + 4 = 4*i, 3*s + i = 4. Sort k, s, 3 in ascending order.\nAnswer: s, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440*c + 454*c - 226*c + 248*c.\nAnswer: 916*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2705106, -2705105, -2705104, -2705103?\nAnswer: -2705102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 1:39 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**5*d*d**7*(d*d*d*d\/(d*(d\/(d\/(d*d**9)))\/d))\/(d\/(d**(1\/2)\/d)*d) assuming d is positive.\nAnswer: d**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = n - 5*h, -3 + 4 = 5*n - h. Solve n = 5*b - 2*w + 9, 5*w = 2*b + 3 + 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fycb when four letters picked without replacement from yfybncy.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jma when three letters picked without replacement from jmajajamaa?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 91 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v + 1191. Let b(p) = 8*p**2. Calculate c(b(o)).\nAnswer: -32*o**2 + 1191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 times -0.07?\nAnswer: -3.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 7*c + 11. Let j be n(-8). Let l(v) = -v**2 - 8*v - 4. Let g = -12 - -5. Let b be l(g). Solve -2*s + 1 = b*i, 0*i + 4 = -s + j*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 0.5, 0.83 in increasing order.\nAnswer: -2, 0, 0.5, 0.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8089288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -3*o**8\/560 + o**5\/12 + o**3\/6 + 6*o. Let p(u) be the second derivative of t(u). Find the second derivative of p(f) wrt f.\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30022 + -30025. Which is the biggest value? (a) -2\/3 (b) 1 (c) -2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-13)\/(-26) + 10102\/(-28). Let h = f - -360. Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12517890?\nAnswer: 2, 3, 5, 7, 11, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/42580 and -139\/204384?\nAnswer: 1021920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*4\/((-528)\/18).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/7)\/6 + 2236\/14. Let n be ((-160)\/24)\/(2\/(-6)). Calculate the greatest common factor of n and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02434 to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 - 21*k**3 + 133.\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 131553 and 280731.\nAnswer: 261922023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 640698865 a multiple of 3677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 11:39 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -27. Suppose i - w = -0. What is the derivative of -i*f**4 + 12 + 0*f**4 - 2 wrt f?\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m + 4*y + 28 = 0, 33 = 5*m - 3*y. Suppose -w - 20 = -m*w. Solve -5*p = w*s + 17, -5*s + 4*p - 12 = p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85)*-2 + sqrt(85))*-1 - 2*(sqrt(85) + (2*sqrt(85) - sqrt(85))))*-1)\/(-4*1*sqrt(80)*5).\nAnswer: -3*sqrt(17)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 354 divide 567149485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 13*j - 18. Let k be p(-13). Let s = k + 6. Calculate the remainder when (s\/5)\/((-12)\/80) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 6. Suppose -4*s + 1 = -3*g - 2*g, -2*s = 3*g - 17. Let f be 3\/6 + 54\/s. Calculate the highest common factor of o and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 26, 18, 5, 0, 92 in descending order.\nAnswer: 92, 85, 26, 18, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-77))\/(4\/(-14)*-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)*i**4)\/((i\/(i*i**(1\/5)*i))\/i**(-2\/19)))\/(i**(-6)*i*i*i**(-3\/7)*i*i**(-7)*i*i**(1\/2)) assuming i is positive.\nAnswer: i**(9658\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810439 to the power of 1\/2, to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {k: 3, w: 7, n: 4, h: 3, y: 3}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, x: 2, w: 3, p: 1, v: 1, i: 2}. What is prob of picking 2 i and 1 q?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -52, -727, -107 in increasing order.\nAnswer: -727, -107, -52, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 124473, 248806, 373103, 497346, 621517, 745598, 869571?\n\"Answer: -3*m**3 + 124354*m + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 + o**2 + 5*o + 1. Let u be q(3). Let r(k) = -4*k - 106. What is the remainder when 43 is divided by r(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 36*x**2 + x. Let r be 6\/15 + (-35)\/25. What is the tens digit of j(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 279473832971\nAnswer: -279473832971.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*q - 80 = 44*q. Calculate the least common multiple of 18 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2532 (base 6) to base 12\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, y: 2, n: 6}. Give prob of sequence nnnb.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, 44, 110, 164, 206, 236?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*z - 7. Let s be -2 - (3\/z - 1). Solve -3*k - 3*q - 15 = s, -5 = -3*k - 2*q - 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3238 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 3*q**2 + 2*q - 2. Let p be w(3). Let k = 4 + p. What is the smallest common multiple of 6 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 10. Suppose -2*m = -2*r + 4, -5*m = -y*m. Suppose -r*x = 5*s + 21, -4*x - 21 = 3*s - 0. Let o(t) = -t**2 - t + 4. Determine o(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*80\/(-23296)*(-8)\/(-10)?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 82*t - 407. Let d be a(5). Solve 25*s + w = 24*s, 3*w + 6 = d*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**5 + 15*l**4 - 80*l**3 + 60*l**2 = 0.\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/250)\/((-42)\/(-140))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -713 - -853. Calculate the greatest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 429*w**3*y - 56*w**3 + 2*w**2 - 37*y - 7177 wrt w.\nAnswer: 1287*w**2*y - 168*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, l: 2}. Give prob of picking 2 i.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/32 and 93\/705572.\nAnswer: 5644576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1093*n + 3 = 2*l - 1089*n + 13, -4*n - 5 = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8292072, -8292084, -8292096?\n\"Answer: -12*f - 8292060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 4. Let o = -12 + 21. Let k = 73 - 44. Solve o - k = r*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213636 is divided by 906.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + -5 + 1 + -2. Let o be 11*8\/440 + 22\/(-10). Are m and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402100 + 62?\nAnswer: -402038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 2*b = -166, 4*w = -b + 317. Suppose v - 5 = w. Let o be (-4)\/(-10) - v\/275. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 4 + 0 - 4*f**2 - 6*f + 5*f. Let o(s) = s**2 - 26*s + 124. Let c be o(6). What is n(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 111482.\nAnswer: 111482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i*i*i**(-3\/2)*i*i)\/i)\/i)**(-19)\/(i\/(i*i\/(i*i**(-2\/5))))**(-29) assuming i is positive.\nAnswer: i**(-591\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 422 divided by -211\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.09 (c) 530 (d) -1\/10 (e) -3 (f) 2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*y - 9*l + 380, 2*y = -2*l - 208. Is 20 a factor of 2 - (y - 2\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/9 - 9580*t**4\/9 + 48017*t**3\/9 + 293680*t**2\/3 - 830524*t + 1686960 = 0. What is t?\nAnswer: -9585, -11, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3505702644.\nAnswer: 2, 3, 103, 241, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*1023\/1705?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 - (9 + 61\/(-3) - -2). Let o = -3 - -2. What is the nearest to -0.1 in o, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 18 = -4*w, 3*f - f + 4*w = 26. Suppose 0 = 2*x + 2*x. Suppose -q + x*q + f = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99121999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 7*f**4\/24 + 49*f**3\/3 + 3163*f**2 - 2. Determine n(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2437, -9838, -22125, -39268, -61237, -88002, -119533?\n\"Answer: 5*z**3 - 2473*z**2 - 17*z + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (930\/31 + -52)\/((1 + -3)*2\/(-8))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mll when three letters picked without replacement from {l: 2, m: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 + 312\/(-16)*(-981)\/1417\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 227, 237, 251, 269?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-4 - -8 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + 5 + 1 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -0.7 (c) -0.08 (d) 0 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 3:28 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001939 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69 in -29.7, 1, 0.1, -3, 2\/3, -1?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1764*b**4 - 37716*b**3 - 14176*b**2 - 1344*b = 0.\nAnswer: -21, -4\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12221211002 (base 3) to base 13.\nAnswer: -41492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a day?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4080.72 + -3681. Let c = -364.9 + z. Let w = c + -35. Round w to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3534141 take away -0.2?\nAnswer: -3534140.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -34*d + 5. Calculate the remainder when s(-3) is divided by (4\/6)\/(3\/(-9)) - (14 + -19).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -5*v + 4*n + 83, 56 = v - 3*n. Suppose 53 + 23 = 4*m. What is the remainder when v is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p. Suppose 0 = -g - 3*g + 16. Suppose 0*f + 6 = 3*f, -3*c - 11 = -g*f. Let x be v(c). Let t(w) = 2*w**3 + 4*w**2 + 4*w + 3. Calculate t(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c - 32. Determine u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-5)\/290))\/(-16*16\/(-128))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**17\/(j*j**22) assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1331) - sqrt(1331)*2) + -5 + -4)*-4 + 4)**2.\nAnswer: 3520*sqrt(11) + 22896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/258 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/(-35))\/(18\/(-15)). Let w = -0.9 - -0.6. Which is the third smallest value? (a) r (b) 2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -719 + 719.00001338. What is i rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 8:45 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.73861um in centimeters?\nAnswer: 0.000473861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10010101111100101101011 (base 2) to base 14\nAnswer: 91c8d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-43)\/(-3) + 11\/(-33). Let y = q - 2. Let o be 1\/(-1)*y\/18. What is the nearest to 0.1 in 5, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.055, 0.3, 2\/3, -4, -148\/9, 2?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 71*m - 1. Let p(x) = -3*x**2. Give k(p(t)).\nAnswer: -213*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 - 10 = -3*d, -d = 3*w + 12. Sort 2\/9, 0.07, 0.2, w.\nAnswer: w, 0.07, 0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m**3 + 148*m - 148*m.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/4 (b) 1\/7 (c) -93 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/14 and 59\/46347.\nAnswer: 92694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.1, 0.2, 0.82, 0.12 in decreasing order.\nAnswer: 0.82, 0.3, 0.2, 0.12, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 723946\/3089 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1702 - 1117. What is the highest common divisor of p and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*r + 8 = 0, -416*r + 6 = o - 420*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 63724 = 63724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1289*t - 414*t + 47383 - 129127 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 1393878282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/5)\/b)\/(b**(2\/19)\/b*b))**28*(((b**(-2\/3)\/b*b)\/b*b)\/b**(-9))**(-16\/7) assuming b is positive.\nAnswer: b**(-88568\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 493682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -11*c - 3. Let k(z) = -17*z - 5. Determine -5*k(j) + 8*q(j).\nAnswer: -3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248\/(-122) - -3 - (-6*(-10)\/20)\/3.\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (1*sqrt(243) + -4 + sqrt(243) + (sqrt(243) - (sqrt(243) + 5 + (sqrt(243) - (sqrt(243) + 1) - sqrt(243)) + sqrt(243))))*-4*2)*1)**2.\nAnswer: -17856*sqrt(3) + 66052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d - 110*d = -16*d. Suppose 42 = -4*q + 10. Put q, d, 1, -3 in decreasing order.\nAnswer: 1, d, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239925 times 0.04?\nAnswer: 9597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -140030?\nAnswer: -140024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17527?\nAnswer: 17, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/6 and (2 - (44448\/5385)\/4)*(-380)\/(-608).\nAnswer: 4308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -444, -665, -886, -1107?\nAnswer: -1328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(-6*(sqrt(19) + 2) + sqrt(133)\/(sqrt(7)*-1)) - (0 + -2*sqrt(171)*-2))**2.\nAnswer: 3840*sqrt(19) + 32700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 19*q + 69. Let o be b(-14). Let w(f) = f**3 - f**2 + f - 1. Let x(g) = -5*g**3 + 2*g**2 - 4*g + 6. Give o*x(p) - 4*w(p).\nAnswer: p**3 + 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 9:08 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - -1)\/(6\/2721) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0659178 rounded to 3 dps?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -40*f + 64. Let y(l) = 13*l - 20. Let m(o) = 16*y(o) + 5*z(o). Let p(a) = -13*a + 4. Let h(u) = u - 1. Let s(q) = 4*h(q) + p(q). Determine m(s(w)).\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-3) + -1 - -28. Let r be (141\/(-9))\/(1\/b). What is the common denominator of 6 and ((-1)\/(-15))\/(6\/r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 739863935 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i - 4*i + 10*i - i + 9*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 2*k**2. Let b(d) = d**3 + 5*d - 5. Let w(i) = i - 1. Let q(s) = -b(s) + 5*w(s). Determine 2*q(y) - v(y).\nAnswer: -y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o + 8 = -362 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 6*v**2 + v + 12. Let x be w(-6). Suppose k + 95 = x*k. Let j = -19 + k. What is j rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5754389 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 8:53 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 196.\nAnswer: -3\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, 5, 161 in decreasing order.\nAnswer: 161, 5, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 6311*p + 107097. What is s(-17)?\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbjbj. Give prob of picking 1 j and 3 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 4*q + 19. Suppose 2 = -5*d + 7. Put 6, 3, q, d in decreasing order.\nAnswer: 6, 3, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -335177.82 to the nearest 10.\nAnswer: -335180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119 + (-52 - -53) + -1?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - -11 - ((-1 - (10 - 23)) + -7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/5))**(-4)\/(i\/(i*i**(2\/3))*(i*i**(1\/5)\/i)\/i*i*i)*(i*i**(-1)\/i)**(3\/17)\/((i\/(i**(-3)*i))\/(i**1\/i)) assuming i is positive.\nAnswer: i**(-1558\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + -1. Let q = -17 - -13. Let w = q - x. Solve w*f = 7*f - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - 22*b**3 + 43*b**3 + 13 - 17*b**3 wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 19. What is the smallest value in b, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 73 + 316 + 62 + 9*w**2 - 57*w**2 + 57 + 6*w**3 wrt w?\nAnswer: 18*w**2 - 96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3307, -3224, -3121, -2992, -2831?\n\"Answer: b**3 + 4*b**2 + 64*b - 3376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -14. Let p = 0 - n. What is the second biggest value in -0.5, p, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) -1 (c) 1\/337153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**3\/3 - 6*d**2 - d. Let m be a(-8). Let n = m - 3. Solve -f - n = -0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4390 divide 1226337720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -89*s**2. Let n(i) = -8*i. Give y(n(v)).\nAnswer: -5696*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 31*z + 3. Let b be k(-6). Let c = 28 - b. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 3*c**2 + 3*c - 4. What is the lowest common multiple of i(3) and ((-5)\/50*-4)\/((-2)\/(-20))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from ymcyyxyxccxmccxcyybc.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + g**2 + 1. Let d(k) = 10*k**3 - 8*k**2 + 4*k - 8. Let l(j) = -d(j) - 8*u(j). Find the second derivative of l(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - r**2 + 110*r - 1 - 109*r)*(67*r - 163*r + 216*r).\nAnswer: -120*r**3 + 120*r**2 + 240*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/968 and 31\/1378.\nAnswer: 666952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -337595*d**5 - 2*d - 1627?\nAnswer: -6751900*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 852 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -361*z**5 - 1437*z**5 - 230*z**5 + 290*z + 14*z**5 wrt z.\nAnswer: -40280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l = 1. Let d be (-4 - (l + -6)) + 0 + 5. Solve d + 3 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 57*a + 346. What is m(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79\/21 - -24\/7. Which is the closest to -11\/3? (a) 3 (b) 0.5 (c) p (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((7\/23)\/(-7)*-2)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzz when three letters picked without replacement from zzzzzuzuzzzuzz.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 2)*(-11 + 2 + 3)*(6 - 2 - 2)*(-1 + 1 + 2*b) as l + t*b and give t.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 220 = -3*t, a = 2*a - 5. What is the tens digit of (-944)\/(-11) + (t\/(-11) - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by ((-88)\/10)\/(2\/(-5))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16416, 32944, 49532, 66186, 82912, 99716, 116604?\n\"Answer: f**3 + 24*f**2 + 16449*f - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**3 + 6 - 2*j**4 + 5*j**3 - 2 - 2*j**3 as g*j**4 + p*j**2 + w + u*j**3 + o*j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/11 + 32*v**4 + 1456*v**3 + 222720*v**2\/11 + 957600*v\/11 = 0 for v.\nAnswer: -114, -42, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.4 - -8.3. What is the closest to 2\/7 in -3\/5, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*((-3)\/10)\/((-60)\/80)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2575 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1720 = 2*n, -4*a + 3*n = 1007 - 4426. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 + 0.7. Let v = -0.1 + q. Let p = 83\/170 + -3\/34. Which is the second biggest value? (a) v (b) 1\/6 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3496584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/7, -5\/3, 2\/9, -28?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*m**2 - 39*m**2 + m**2)*(-1 + 1 + m) - 217 + 31*m + 2*m**3 + 217.\nAnswer: -72*m**3 + 31*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 357705.\nAnswer: 3, 5, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002246 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = 5*c - 66, 208*d - 1 - 2 = 211*d for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1 - q + q**2 - q**3 + 8*q + 1. Let r be b(3). Find the common denominator of 75\/88*(1 + r) and -87\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1969*q + 119342 = -134659 for q.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 8*u**2 + 4*u + 6. Let g be i(8). Let r = -33 + g. Is 19 a factor of 1670\/11 - (57\/(-11) + r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39070 and 3?\nAnswer: 117210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6.1. Let x = -0.13 - -8.13. Let h = 4 - x. Which is the third biggest value? (a) h (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 9, -9*m + 5*m = 5*k - 48688. List the prime factors of k.\nAnswer: 2, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 175, 213, 289, 409, 579, 805, 1093, 1449?\n\"Answer: t**3 + 13*t**2 - 8*t + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebbeebeabbebeembb. What is prob of picking 2 e and 1 b?\nAnswer: 63\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.033 + -33.\nAnswer: -32.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4613, 9186, 13791, 18428?\n\"Answer: 16*o**2 + 4525*o + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -3*w + 21, -1 = w + 5*a - 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177612950.\nAnswer: 2, 3, 5, 17, 523, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-5) - 3*(-2)\/6. Find f such that -4\/5*f**4 + 8\/5 + 12\/5*f**2 + d*f**3 - 4*f = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in -47, -4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 33. Let v(n) = 2*n + 5. Let q be v(r). Calculate the greatest common divisor of q and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 12 = 0, -73*v + 33*v - 17 = 4*c - 41*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/((-16)\/4))\/(4 - 2). Which is smaller: q or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*y + 98*y - 24. Let r = -2 - -6. Solve y*h = 6 - r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**7\/(n\/(n\/(n**8\/n))))**(3\/22))**48 assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/5)\/d*d**(-2\/29)*d)\/(d*d**(6\/13))**(-4\/21) assuming d is positive.\nAnswer: d**(-15461\/39585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6 (b) 1 (c) 24\/49 (d) 3\/2 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12458 + -12459. Let x(d) = -d + 1. Let k(b) = 2*b + 2. Let q(f) = f**2 + 10*f + 8. Let w be q(-9). Give l*k(v) + w*x(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 401197\/312053 - -2\/44579. What is q in -6\/7*q**4 + 0*q + 3\/7*q**5 - s*q**3 + 0*q**2 + 0 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1126474364 - 5?\nAnswer: 1126474357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 m when four letters picked without replacement from mmppmppppmppmp?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5405*f - 3935.\nAnswer: 5405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 12:52 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 - 82. Suppose 2*s = -d*x - 0*x + 1503, 3*x + 2265 = 3*s. List the prime factors of s.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2612212 and -113\/5484.\nAnswer: 7836636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) 7 (b) -1\/3 (c) 119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.504878 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a factor of 3696687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 4*t**2 + 107*t - 107. Determine a(-10).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 8. Let p(j) = 5*j**3 - j**2 + j + 1. Let q be p(-1). Let v be m(q). Let d(a) = -3 + v + 5*a - 3*a. Give d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 2. Let p be k(2). Let v be (-2)\/(-2) - (0 - -1). Let n be ((-6)\/(-54)*-6)\/2. Which is the nearest to v? (a) n (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -309761, -619522, -929285, -1239050, -1548817?\n\"Answer: -d**2 - 309758*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(80)*3 + 2 + 2.\nAnswer: 4 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*((s + 2*s**2 - s)*(-1 + 4 - 1) - 5*s**2 - s**2 + 0*s**2).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0026 - 569805.\nAnswer: -569805.0026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -11*k**5\/5 - k**4\/2 - 2*k**3\/3 - 346*k - 627. What is the third derivative of f(l) wrt l?\nAnswer: -264*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 104, 93, 80, 65?\n\"Answer: -h**2 - 8*h + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 122.8 and -11?\nAnswer: 133.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1816714, -1816652, -1816590, -1816528, -1816466, -1816404?\nAnswer: -1816342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12272\/177)\/(-26)*21*(-4)\/8\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p**2*s - 6*p**2 - 6*p*s + 22*p - 176*s + 2 wrt p?\nAnswer: 2*p*s - 12*p - 6*s + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*l - 1 - 4, -2*c - 3*l + 13 = 0. Suppose -g + m = c*m - 29, -3*g + 77 = 5*m. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -332, -327, -322, -317, -312?\n\"Answer: 5*p - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 534 - 310. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6076 by -1519.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 230324140.3 - 230324045.3000043. Let c = 97 + -2. Let z = r - c. What is z rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 685 times -16\nAnswer: -10960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 0 - 278520*h**2 - 2*h + 0 + 0*h + 278521*h**2. Let x(g) = 8*g - 2. Determine k(x(m)).\nAnswer: 64*m**2 - 48*m + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -2284148?\nAnswer: 2284142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -396*g - 1. Let a be x(-1). Let i = 388 - 226. Let p = a - i. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319.9089 meters in micrometers?\nAnswer: 319908900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 138 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**4 - x**3 - 6*x**2 + x + 1. Let s(q) = -323*q**4 - 3*q**3 - 12*q**2 + 4*q - 12491. Let i(r) = 2*j(r) - s(r). Differentiate i(n) wrt n.\nAnswer: 1308*n**3 + 3*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*h**2 - 7*h**2 + 5*h**2)*(-1 - 3 + 1)*(4*h**2 + h**2 - 3*h**2) as s + p*h + w*h**3 + g*h**4 + b*h**2 and give g.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -18866 and -18867 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/498 and -73\/6.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1080, -2162, -3244, -4326?\nAnswer: -5408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2856756 and 426.\nAnswer: 2856756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 614627 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26.25 + 23. Let b = 0.25 + r. Put -0.4, 5, b in ascending order.\nAnswer: b, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**6\/120 - l**4\/12 + l**3\/2 - 5*l**2\/2 - 4*l. Let f(w) be the first derivative of i(w). Calculate f(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n**2 + 181*n + 35. Calculate x(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(7\/2 + -2). Suppose -2*l + 12 - 8 = 0. Determine h so that 2\/3*h**l - 4\/3*h + u = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 10 = 3*s - 0, -n = -2*s + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*x - 52, 3*x - 16*d = -15*d + 59. Let f be ((1 + 0)\/(-1))\/(17 - x). Let h = -2\/25 - -29\/50. What is the nearest to h in f, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2. Let h(n) = 210698*n. What is i(h(t))?\nAnswer: -88787294408*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 96.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -839 - -935 - (83 - 4).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 3*q**3 + 4*q**3 - q**2 + 1 - 2*q**3 - q**3. What is w(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.364 + -77.636. Sort 5, d, -0.1, 1\/13 in ascending order.\nAnswer: d, -0.1, 1\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*g + 979*g - 452 + 223 + 229.\nAnswer: 1065*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3109953719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 2*l - 4*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 91*i**3 - 173*i**2 - 4*i + 4. Let c(y) = -92*y**3 + 173*y**2 + 3*y - 3. Let w(n) = -4*c(n) - 3*s(n). What is the third derivative of w(v) wrt v?\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42660 + 42387.764. Let c = i - -272. Round c to two decimal places.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 - -0.5. Let i = 195 + -215.4. Let m = 20 + i. What is the closest to -3\/2 in x, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0415 - 12158829263\nAnswer: -12158829261.9585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1988*f - 879 = -1695*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.5656 + -1.3344. Which is the nearest to 0.03? (a) -3\/2 (b) 2\/3 (c) u (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**2 + 10*o - 3. Give l(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, -16, 8.3, -167.99 in increasing order.\nAnswer: -167.99, -16, -5, -0.4, 8.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30240 and 750330.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2.4 (b) -5 (c) 305 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49\/66 - 8\/33. Let x = 20 - 37. Which is the nearest to h? (a) x (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p**2 - 9*p**2 - 2*p**2 - 5*p**2 - 14*p**2 - 14*p**2.\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/54 and 77\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-308)\/462*(-360)\/(-624).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/6 (b) -9\/8 (c) 0 (d) 0.153 (e) -1\/14 (f) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(2\/9))\/s*s**(-6\/5))\/(s**(-1\/5))**(-35))**(-1\/5) assuming s is positive.\nAnswer: s**(379\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/225 and 57\/125.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 - -55. Let n(x) = -4*x**2 + x - 3. Let d(q) be the second derivative of q**4\/12 + q**2\/2 + 2*q. Calculate k*d(g) - n(g).\nAnswer: -g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -s**4 - s**3 - 106949*s + 760415 wrt s?\nAnswer: -4*s**3 - 3*s**2 - 106949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*m - 13*m - 47*m as y + u*m and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*l**2*t**2 + 30*l - 301*t**2 wrt l.\nAnswer: -8*l*t**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5*x + 25 = 0, 0 = 3*c + 5*x + 32 - 17. Suppose 0 = 3*t - t - 10. Solve -4*z + 3*y = -5 - 12, c*z - 30 = -t*y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**2 - 2*t - 1. Let a = -64 - -93. Let f = 28 - a. Give d(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 3 - 27*b + 30*b.\nAnswer: 3*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1011001?\nAnswer: 1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33650.51704 rounded to 0 dps?\nAnswer: -33651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 444, 811, 1120, 1383, 1612, 1819?\n\"Answer: 2*s**3 - 41*s**2 + 476*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/3)\/((-4)\/(-5)). Suppose 5*l = -0*l - 4*j + 29, 3*j - 33 = -f*l. What is the smallest common multiple of l and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 10. Suppose f*v - 28 + 6 = 0. Suppose 0 = m - 13 - v. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-22 - -63) - (-17 - 0).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1283, 2568, 3853, 5138, 6423?\nAnswer: 7708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 10*n + 30 + 12*n to the form b*n + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 95. What is the second biggest value in -2\/5, 2\/41, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2643, -2529, -2415, -2301?\nAnswer: -2187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -132*b**2 + 20*b - 35. Determine y(2).\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1532*t - 9171. What is the units digit of k(33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2. Let x(o) = -128115*o. Calculate x(v(z)).\nAnswer: 256230*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 78782 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 - 12*f**3 + 16*f**2 + 48*f.\nAnswer: -4*f*(f - 2)*(f + 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0216754552 - 0.2.\nAnswer: -0.2216754552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + -2.3. Let l = 184 + -167.3. Let h = l - 17. What is the nearest to h in w, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*y + 20. Let j = y + 8. What is the derivative of f**3 + 3*f**3 + f**3 + 3 - 2*f**j wrt f?\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1408 - -1396. Put -0.3, 3, t, 0.4, -2\/25 in decreasing order.\nAnswer: 3, 0.4, -2\/25, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*q = 5, 0*q = 3*f - 2*q - 16. Let p = -115 + 117. Suppose -3*b + 2*a = -11, -p*b + 1 = -a - 6. Solve -f*o = -5*z + 4, o = -3*z - b + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277723689.\nAnswer: 3, 23, 4024981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/2)*c**(-15)*c**(-14)\/(c*c**(-1\/26)) assuming c is positive.\nAnswer: c**(-396\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, w: 1, i: 1, o: 3, l: 2, p: 4}. Give prob of sequence ooi.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**4\/4 + 2053*u**3 - 4105*u**2 = 0.\nAnswer: 0, 2, 8210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 2*x - 30 = 0. Suppose x*k - 10*k + 80 = 0. Differentiate -7*p**4 - 7*p**4 - 41 - k*p**4 wrt p.\nAnswer: -136*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + z. Let f(t) = -7*t**2 - 5*t + 5. Let c(u) = -f(u) - 4*o(u). Let q(m) = -m**3 + 4*m**2 - 3*m. Let y be q(3). Calculate c(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12 - 544\/(-960).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -16*t**2 + 108*t - 125. Let w(x) = 3*x**2 - 22*x + 25. Let d(v) = 4*m(v) + 22*w(v). Find p such that d(p) = 0.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -668*b + 658*b - 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -15. Let q = -13 - -15. Let x be (3 + -1)*18\/4. Solve q*t + p = x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6 and -43\/68001?\nAnswer: 136002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + m**3 - m**2 - 3*m**2. Let f(l) = -3*l**3 + 3*l**2. What is 4*f(s) + 3*t(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, q: 1, u: 5, d: 3}. Give prob of sequence uddd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14121)\/6)\/(-9)*2. Let w = v - 427. Calculate the highest common divisor of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5 + 0*w**2 + 12*w**2 - 2*w**2 + w + 4. What is the tens digit of t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide ((-23)\/2)\/((-570)\/(-144) + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223140 is divided by 27889?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.652967, -0.2, -0.3.\nAnswer: -0.652967, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z - 3*z + 7*z**2 + 11*z**2.\nAnswer: 18*z**2 + 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 8) to base 11.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9371?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -590 in -1\/2, -2, 0.071?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -430 + 444 = -5*w - 4*l, -2*w = -4*l - 28 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4628 and -14139?\nAnswer: 20682.5292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 3*a + 124, 4*a - 74 = -4*g + 38. Calculate the least common multiple of 9 and g.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 3708 = 6*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -26. Let f(c) = c - 15. Let j be f(x). Calculate the common denominator of j*1 - 7\/11 and -43\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1791 (base 10) to base 15\nAnswer: 7e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + 4*b + 2*b**2 + (-3*b + 0 + 0)*(0*b - 3*b + 7*b) + (26 - 8 - 14)*(-5*b**2 - 9*b**2 + 3*b**2).\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.8 + -30.2. Let o = y + 8.367. Which is the second smallest value? (a) o (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in months?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfbiiqgbq. Give prob of sequence fb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b**2. Let v(x) be the second derivative of -5*x - 5\/6*x**3 + 0*x**2 + 5. Calculate v(s(a)).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + 0 + sqrt(5) + -2.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2304))\/(-4*sqrt(24)\/sqrt(3)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 481347, 481311, 481249, 481155, 481023, 480847, 480621?\nAnswer: 480339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/32 in -4, 0, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.58 - -233.42. Let i = 7733.02 + -7499. Let g = i - n. What is g rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*u - 2*u + 7*u + 2 - 2 + u + (-3*u + 3*u + 2*u)*(2 - 1 - 2).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*s + 436 = 0, -5*s = -4*b + 881 + 18. Let h(u) = -13*u - 1. Calculate the remainder when b is divided by h(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -525\/2084 + 1\/521. Let d = -9 - 39. Which is the smallest value? (a) j (b) 0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-43)\/l**(-18))\/((l\/(l\/l**25*l*l)*l)\/(l*l**18)) assuming l is positive.\nAnswer: l**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*m = 21, -4 = 4*m - 2*m. Is g - -9*18*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 322 - 188. Calculate the remainder when y is divided by -1*6 - 13\/((-26)\/46).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-85)\/(-25) - (-2)\/(-5). Suppose -7*b - z = 18. What is the common denominator of 21\/10 and b\/((-36)\/158)*2\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -22\/39, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Suppose -4*g + w*g = -5. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2\/12 - 2*j - 5\/12 = 0. Calculate j.\nAnswer: -1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 17*m**2 - 13*m**2 - 17*m**2 + 49 to the form t + a*m + q*m**2 and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43764 - -2800817\/64. Find the common denominator of g and (4\/20 + 4468\/7360)*(-16)\/12.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47467*m**5 + 689*m**4 + 48816*m**2 - 24*m wrt m.\nAnswer: -2848020*m**2 + 16536*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueftfkjfttj. What is prob of sequence jtk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 1. Let h(m) = 2*m**2 - 2 + 2*m**2 + 2*m**3 + 0*m**2 + 1. Determine -h(f) + 4*l(f).\nAnswer: -2*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71.15 - -2.35. Let o = -78.997 + z. What is o rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6116269 to the power of 1\/2, to the nearest integer?\nAnswer: 2473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 2, 3, 5 in increasing order.\nAnswer: -1, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39210 is divided by 467.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - z**2 + 7*z - 1. Let c(l) = 3*l**3 + 4*l**2 - 21*l + 4. Let u(t) = 4*c(t) + 11*g(t). Determine u(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 e when three letters picked without replacement from {b: 12, w: 1, q: 2, e: 2, f: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 15*z + 25. Let j = -75 - -41. Let o = j + 20. Let t be g(o). Solve -2*v = t - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, -89, -254, -475, -746, -1061, -1414, -1799?\n\"Answer: x**3 - 37*x**2 + x + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2317*i**3*t**3 + i**3*t - 45*i**3 - 58*i**2*t**2 - i**2 + 34*i*t**3 + 2*i*t wrt i?\nAnswer: -13902*t**3 + 6*t - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3383 + -2244. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a + 16. Let g(o) = -1. Let z(q) = -2*g(q) - n(q). Calculate z(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*4 - sqrt(13))*-1)**2 + 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.1 * -3385823.\nAnswer: 44354281.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34996893, -34996958, -34997011, -34997046, -34997057, -34997038?\n\"Answer: u**3 - 72*u - 34996822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-2*3*-6)\/(4*(sqrt(704)*-1 - sqrt(704))))**2.\nAnswer: 1053\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + ((-12)\/(-3) - (-26)\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 3*z**5\/4 - z**4\/2 + z**3 - 3*z**2 - 3*z - 7. What is the tens digit of h(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14895*b**3 + 6*b*j + 153*j + 1641 wrt b.\nAnswer: -44685*b**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*v = 16*v + 668 + 40. Solve 39*b + v = 44*b - 3*x, -3*b - x = -8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1340*f + 580*f = -23040 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -14. Let b(q) = -2*q - 7. What is b(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 530874888, 530874885, 530874882, 530874879?\n\"Answer: -3*f + 530874891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 18. Is 10 a factor of (4\/d)\/(30\/(-225))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10715095.\nAnswer: 5, 2143019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100102020 - 21110?\nAnswer: -1100200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by 62.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 + (-252 - -6 - -124)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 - 8)\/((-9)\/(-48)*-2). Solve -5*t - d = -18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -23*i**3 + 4*i**2 - 27*i - 1. Let a(k) = 23*k**3 - 4*k**2 + 30*k + 2. Let c(h) = -2*a(h) - 3*z(h). What is the thousands digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*b + 542*b**2 - 535*b**2 + 43*b.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n - 8. Suppose -n*b = 2*b - 4. Solve -b = -g - 2*o + o, -2*o + 18 = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icijiikrsiiiis. What is prob of picking 1 r and 1 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16680173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 2*v**2 + 3*v. Suppose -3*w = 2*w - 0*w. Let k(h) = -8*h**3 + w + 5*h + 0 + 9*h**2 + 8*h. What is 26*b(p) - 6*k(p)?\nAnswer: -4*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61\/513 or -2924?\nAnswer: -2924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2*3\/18)\/(4\/4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 122 = -l - 149, 9*l = -2*a + 10 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1256\/78)\/2 - ((-16)\/(-7))\/((-6)\/(-21)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 37\/283, 0.71, 0.15?\nAnswer: 37\/283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(1\/15)*f*f*f**(1\/15)*((f*(f**(-2)\/f)\/f)\/f*f)\/f**(-2) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/899 in -2, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 25516\/5 and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52.51 + 52. Let g = t + 0.32. Let n = g - -0.2. Sort n, 0.2, 3\/4 in descending order.\nAnswer: 3\/4, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/11))**42\/((i\/i**(-12\/7))\/(i\/(i\/(i**(-4\/7)*i)*i))) assuming i is positive.\nAnswer: i**(1511\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + w**2 - 34*w - 24. Let d be k(-6). Suppose -18*n - 16*n + 136 = d. Solve -g - 2*h = n, g - 5*h = -4*g + 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 204121849 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/8 of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83666 - -134514. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 + 25*a**2 - 590*a + 3287. Determine z(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -4*t - 8. Let u(v) = -1. Suppose -4 = -9*g + 5*g. Suppose 0*y - g = y. Let c(w) = 2*w + 3. Calculate t*u(d) + y*c(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 - t**3 - 2*t**2 + (5*t**2 - 3*t**2 - 6*t**2)*(3*t - 10*t - 3 + 5*t) + (-2 - 3 + 3)*(t - 2*t**3 - t).\nAnswer: 11*t**3 + 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 131, 0, -48 in decreasing order.\nAnswer: 131, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 775965 and 793305.\nAnswer: 4335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3 - 3 - 1)*(9347 + 7169 - 956 - 1135).\nAnswer: -14425*b - 14425","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -50286 (base 15) to base 6\nAnswer: -5234313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 <= -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 15 = 2*j, -3*w = -6*w + 2*j - 13. Let y = 8 + w. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -17*a + 34*a + 1 - 11*a - 1. Let h(m) = 13*m**2 + 2*m. Calculate h(k(l)).\nAnswer: 468*l**2 + 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 442 - 458. Let h be 16 + (-3 - -2 - 2). Suppose 4*n + h - 1 = 0. Which is smaller: f or n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 132, 238, 344, 450, 556, 662?\n\"Answer: 106*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207431 divided by 1857?\nAnswer: 207431\/1857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*j = -249, 2*a - a + j = 69. Do 66 and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*sqrt(180)\/sqrt(4).\nAnswer: -18*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 20 = 15*w, 0 = 5*r - w - 5. Suppose 2*h + 3*h = -3*p + 890, -4*p + 20 = r. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -1.9636951.\nAnswer: -7.8547804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2. Let z be (-2)\/(-2) - 0\/9. Let t(l) = l**2 - 1. Calculate z*u(q) + 2*t(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272000 = 20*c - 21*c. Round c to the nearest 10000.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -46870 and -13.74.\nAnswer: 643993.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 - 112. Suppose -n*x = -7 - 11. Suppose 6*v + 255 = x*v + 3*j, -465 = -5*v + 3*j. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.1699 * -1\nAnswer: -19.1699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5242, 5221, 5186, 5137?\n\"Answer: -7*n**2 + 5249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.3 - -0.8. Let l = -3.269 - -0.269. Let i = 0.9 + -1. What is the biggest value in i, p, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5891*d + 182614. Give w(31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.25 greater than or equal to 363739.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgex when four letters picked without replacement from xgxexaaaxxxxeaxaaxa?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 - 2. What is the third biggest value in -1, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - b. Let a = -14 + 18. What is the units digit of w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-28)*v))**26\/(v*(v\/(v*v*v**(-42))*v)\/v*v*v**11) assuming v is positive.\nAnswer: v**674","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 525711.4 days?\nAnswer: 45421464960000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-637)\/(-3) + ((-16)\/(-6))\/4. Suppose 0 = 4*i - j + 53. Calculate the greatest common divisor of i and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 3\/50, -1\/2 in increasing order.\nAnswer: -1\/2, 3\/50, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -976862, -1953718, -2930572, -3907424, -4884274, -5861122, -6837968?\n\"Answer: b**2 - 976859*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 - (43 + -34 + (-20 - -3)). What is m in 0*m**2 - 1\/7*m**p - 6\/7 + m = 0?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 5*w + 3*w)*(-3 + 3 - 13).\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*p = -8, -4*p - 4 = -50*k + 48*k. Let n(q) be the first derivative of 1 - 2*q**k + 2\/3*q**3 + 0*q. Factor n(f).\nAnswer: 2*f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*u - 6*u**2 - 22*u)*(-3*u - 4*u + 5*u).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 11268*h - 5734*h - 4746*h + (-1 - 3 + 3)*(2*h - 2*h + 2*h) as c + u*h and give u.\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*g = -55 - 5, 3*g = 0. Let h = 12 - 5. Suppose 4*t + h = 3*r - t, 3*t = 4*r - 13. Solve -q - q = -r*m - v, 5 = 2*m + 3*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 187, 188, 189?\n\"Answer: l + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5088382?\nAnswer: 2, 13, 23, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9\/11, -105, 0.2, 2\/83, 14\/17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 32. Let m(y) = 64 - 3*y - 98 + 34. Calculate k(m(b)).\nAnswer: 9*b**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**3 - 4*o**2 + 6*o + 23. Let k be j(-5). Let t = 118 - 281. Let p = k + t. Round p to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9393192 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 5*c**3\/6 + 2*c**2 - 6*c + 5. Let a(f) be the first derivative of x(f). What is the first derivative of a(n) wrt n?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14110 plus -0.02454?\nAnswer: 14109.97546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 560389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.35 - 3.55. Let u = 2.9 + o. Let k = -15.2 + 17.2. Sort -0.5, k, u in decreasing order.\nAnswer: k, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 309, 334, 349, 348, 325, 274, 189?\n\"Answer: -q**3 + q**2 + 29*q + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57566 is divided by 18530.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -14. Let f = o - -9. Suppose f*g = -2*p + 5*p + 320009, 2*p - 239994 = -3*g. What is g rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.0743 to 1 decimal place.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**3 + 6. Let a(d) be the third derivative of -d**6\/20 + 5*d**3\/6 + 551*d**2. Suppose 8*z - 4*z - 24 = 0. Calculate z*a(n) - 5*j(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1106 + 20996\/19. Calculate the common denominator of 18\/11 and v.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-144*m - 293*m + 655*m)*(-2*m + 2*m + m) + (-2*m + 4*m + 0*m)*(m - 3 + 3) as a*m**2 + s*m + n and give a.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -431*j**3 - 361*j**3 + 3*j**2 - 48 + 794*j**3 + j in the form f + m*j**3 + h*j + q*j**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -21653 at most -21654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 624\/(-208)*-7*2\/(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - h = -11, 0 = -2*n + 2*h - 954 + 944 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066111.\nAnswer: 1066111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = r - 9*v + 4, 0 = -2*r - 3*v - 12. Which is the second biggest value? (a) 5 (b) r (c) 230\/7 (d) -2 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*v + 21, -18 = -5*v - 3*r + 19. Suppose -z = -0*z + v. Sort z, -1, 5 in descending order.\nAnswer: 5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -49. Suppose 3*y = -4*a + l, a = 4*y + 3 - 10. Let n(x) = x**3 - 5*x**2 - 2*x - 4. Calculate n(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 10 (b) -1 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16*(8 + 693\/(-88)). Which is the closest to d? (a) 488 (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 8*z - 1)*(-1 - 4 + 6) - 5*z + z + 3*z + 4 - 5*z - 4)*(-2 - 2*z**4 + 2).\nAnswer: -4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -518 + 66*b**3 + 518 + (-b + b - b**2)*(-2*b + 0*b + 0*b) + 4*b**2 - 4*b**2 + b**3.\nAnswer: 69*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g**3 + 2*g**2 - g - 3. Let p(w) = 7*w**3 + w**2 - w - 2. Let j(c) = 3*b(c) - 4*p(c). What is j(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(2\/(-112)*-4). Let y = 26 + f. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 608396 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/10368 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + 8*z**2 + 4*z. Let c(d) = -5*d**2 - d - 1. Let x(j) = 11*j**2 + j + 2. Let b(t) = -2*c(t) - x(t). Give -4*b(s) + g(s).\nAnswer: -2*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + o**2 + o + 157 - 157. Let l = -40 + 27. Let w = l + 14. Determine s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.84, -0.046, -0.4?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14503 + 12?\nAnswer: -14481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(0 - 6 - 2)*(-l + 0*l - l) - 5 + 2*l + 5 + 0*l + 2*l - l + (2 - 6 + 2)*(-2*l + 0 + 0) + l + 0*l - 3*l.\nAnswer: 37*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*g - 1 = 8, -g + 4 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**2)\/w**2*w\/w**(-1\/3)*w**6)**(-2\/7) assuming w is positive.\nAnswer: w**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) -0.5 (c) -7062\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 22) + -5391 + 5320?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1369, -4, -35262?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174729, -699193, -1573381, -2797287, -4370905?\nAnswer: -6294229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t - 29. Let h = -14 - t. Let s = 19 + 38. Calculate the remainder when s is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53994 * 5\nAnswer: 269970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 8133\/9)\/2. Let v = 453 + j. Solve 1\/3 - 2*c**2 + v*c**3 + 1\/2*c = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 28 = 4. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 11:00 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 7*n**2 - 8*n - 58. Let m be q(-7). Let k(x) = 3*x**2 + 2*x + 2. Let a(d) = 12*d**2 + 9*d + 9. Give m*a(c) + 9*k(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 15) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 14 + 6)*(0 + 0 - o)*(4*o - 1 + 1 + (1 + 2 - 4)*(o + o + o)).\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.5 - -2. Let k be -5*(1 - 108\/100). Sort l, k, 0.1.\nAnswer: 0.1, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 21*o**6\/2 - 37*o**2\/2 - 86. What is the second derivative of f(k) wrt k?\nAnswer: 1260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.065 times -1.0742\nAnswer: 0.069823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3498 divided by -6\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.4. Let j be ((-2)\/(-1))\/((-22)\/33). What is the nearest to s in j, 4\/5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16008 and 7337?\nAnswer: 176088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5351834 to the nearest integer?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w. Let o(i) be the first derivative of -7*i**4\/24 - 31*i**2\/2 - 11. Let u(v) be the second derivative of o(v). Determine s(u(y)).\nAnswer: 49*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/113004 and 47\/54.\nAnswer: 339012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdodoae. Give prob of picking 1 e, 1 o, 1 c, and 1 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60237, -120560, -180981, -241506, -302141?\nAnswer: -362892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u**(-2\/33)*u)*u*(u*u**(-9))\/u assuming u is positive.\nAnswer: u**(-229\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10165090 and -97\/90?\nAnswer: 91485810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 5*s**2 + 7*s - 1. Let o be m(-6). Let k(r) = 2*r + 4. What is k(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*s = w - 3, 2*w = -2*s + 22. Suppose 5*u = 3*y - 16, 3*u = y - 0*u - 8. Suppose 0 = -2*q - 5*z - 8, -4*q - z + y = -0*z. Solve -q = 5*k + w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 295 = -s, -122 - 158 = 5*y + 4*s. Let d = 62 + y. Solve 2*a + 8 = -2*o, d*o + 3*a + 13 = -2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r - r - 4*r. Let x(p) = p + 6. Let d be x(-5). Let u(v) = 2*v**2 + d - 1 + 0. Determine u(j(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(4 - 1) - 570\/(-120)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 12*m - 4 = 8*m, 5*m = -3*c + 6. Solve 0*g - c = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -3, -42, 9, 5 in ascending order.\nAnswer: -42, -4, -3, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15911.3 from -0.50521.\nAnswer: -15911.80521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - g**2 - 8*g - 18. Let o = 157 - 159. Let t be j(o). Calculate the greatest common divisor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81433 times -18.55?\nAnswer: -1510582.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -3, -225, 15 in ascending order.\nAnswer: -225, -5, -3, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*l**2 - 4014 + 4014.\nAnswer: 80*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23812 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 117080083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i + 2*i - 18*i - 2 - 6*i.\nAnswer: -38*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 20. Let m(i) = -i**3 + 2*i**3 + 4 - 1 + 4*i + 7*i**2. Does 5 divide m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7973.932 milliseconds to microseconds.\nAnswer: 7973932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194854286 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/3 - 22*d\/3 - 104\/3 = 0.\nAnswer: -4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4837 divided by -3.\nAnswer: 4837\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -112 - -188. Let k = o + -76.00000002. Round k to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 808 - 408. What is the remainder when i is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 0 = -8*j + 18, 0 = -175*j + 177*j + 9*p - p + 118 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*u + 18*u - 75. Let n = u - 2. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**2 + 3*y**2 + 0*y**2 + (5*y + y - 4*y)*(-5*y + y + 2*y) - 3 + 2*y**2 + 3 + (-5*y**2 - 2*y**2 + 3*y**2)*(0 + 5 - 3).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - v + 8. Let h(n) = 2*n**2 + 3*n - 16. Let c(d) = 5*f(d) + 3*h(d). What are the prime factors of c(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**12\/o)\/o**16)\/(o**(-6)*o*o*o**(-5)*o) assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -55*-18\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, d: 2, x: 1, m: 5, f: 1, b: 2}. What is prob of sequence dmdm?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 253934353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.344 and -0.6.\nAnswer: -0.2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvveveee. What is prob of picking 2 v?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445371280?\nAnswer: 2, 5, 5567141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*k)*(340*k + k + 196*k)*(-4 + 1 + 1)*(5 - 2 - 4) + 0 - 2*k**2 + 0.\nAnswer: 2146*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209 + -209. Suppose h = -39*n + 48*n - 45. Solve -1 = -0*o + o - 2*b, -n*b = -3*o - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 337684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19 (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 50. Let m be f + -3 + 1 - -1. What is the lowest common multiple of 4 and m - -23 - (1 + 0 + 2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009376 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2414 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2730.26 millennia?\nAnswer: 273026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(26) + (-1*sqrt(104))\/sqrt(4))\/(sqrt(12)\/(sqrt(6) + -2*sqrt(6) - sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1378 = -15*k + 1393 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*o + 4*k, 0 = -5*o + o - 2*k - 2. Suppose -4*r = -o*r - 4. Let n(i) = i**3 - 2*i**2 + 2*i + 2. Is n(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**4\/24 + 2*f**3\/3 - 6*f**2. Let b be p(-5). Suppose b = 5*j - 291. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from cscsgnscgnnnnggnhgn?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -45. Solve -7*p + c*p - 6 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 - 0.2. Let g = i - 3.4. Let f(j) = 4*j**2 - 2*j + 3. Let l be f(1). Put l, -0.1, g in increasing order.\nAnswer: g, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4*p = 2, i + 20*p - 22*p = -6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/159 - (-438816)\/101760 - (-20)\/16?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 27*r**2\/2 - 25*r - 9. Let q be t(14). Suppose 0 = 4*b - 467 - q. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*c. Suppose 3 = b - c. What is the second derivative of 2*q + 2*q**b - q - q**3 wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3293453 or 3293451?\nAnswer: 3293451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 350699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 333 = -4*r + 5*z, -271 = -3*r + 5*z. Let h = r - 69. Calculate the remainder when 35 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 875401 by 10547.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a**2*q**2 - 269*a**2*q - a**2 + 3*a*q - 4*a + 25097196*q**2 - 55*q - 2 wrt q?\nAnswer: -16*a**2 + 50194392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 244 in decreasing order.\nAnswer: 244, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 19 = -d. Let c = 95 + -91. Let i = d - c. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.1 (b) -100.56 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from hzohoozaaaoohhhzho.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 686 - 379. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66653*j - 66651*j + 10*j**2 + 287*j**3 - 7*j**2.\nAnswer: 287*j**3 + 3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2124285 minus -7?\nAnswer: -2124278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10) - (51 + 9396\/(-270))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2. Let r(o) = 9*o - 10*o + 7 - 2. Let i(y) = -5*m(y) + 2*r(y). Let u(d) = -2*d**2. What is i(u(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 - 9*x**3 - x**2 - 8 + 11*x**3 - 13 to d*x + q*x**3 + v + l*x**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(4*j**3 + j**3 - 2*j**3) + 0*j**3 + 0*j**3 - 5*j**3 + (3*j - 5*j + 4*j)*(-4*j**2 + j**2 - 4*j**2).\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4187292*l + 3*l**4 + 2 - 4187113*l - 5*l**2 - 2 to a*l**4 + z*l**2 + w + p*l**3 + o*l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 6. Let n = k - -3. Suppose -12*u**3 + 10*u**2 - 2*u + 11*u**n - 4*u - 3 = 0. Calculate u.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r**3 - 7*r**3 - 10*r**3 - 2*r + (3 - 3 - 2*r**3)*(1 + 0 + 0).\nAnswer: -10*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676460.\nAnswer: 2, 5, 149, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2013*b - 6045. Let n be a(3). Let y(k) = -2*k**2 + 5*k - 2. Let i(v) = v - 1. What is n*i(c) + y(c)?\nAnswer: -2*c**2 - c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:18 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 3:55 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y. Let q(a) = a - 3*a + 3*a. Calculate d(q(j)).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h + 1. Let c(l) = -9*l - 4. Let p(j) = -2*j - 1. Let q(d) = 2*c(d) - 10*p(d). Calculate 5*a(s) - 2*q(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 583\/40 + -99\/8. Let w = 2\/2021 + -135411\/4042. Find the common denominator of w and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 219, 435, 651, 867, 1083, 1299?\n\"Answer: 216*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 86*h + 180 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330818622?\nAnswer: 2, 3, 55136437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*q - 5, -2*z + q + 1 = 0. Let m = 4.18 - 4.6. Let r = -0.02 - m. Which is the nearest to 1\/2? (a) r (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61870869.\nAnswer: 3, 2129, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 - 3*n - 3. Let z(s) = 26*s**2 + 16*s + 16. Let q(b) = -16*d(b) - 3*z(b). Let p(h) be the second derivative of 2*h**3\/3 + h. What is p(q(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 7:51 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) -3 (c) -62 (d) -2\/11 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*l - 28. Is -1 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121314?\nAnswer: 2, 3, 20219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -186 and 66.\nAnswer: -12276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 52*m**2 + m - 1. Let k be d(3). Suppose -94 = 4*g - k. Does 19 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 9:27 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from cclkxllxk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 - 4 - 5*h)*(0 - 2 + 0) - h + 0*h + 3*h + (0*h - 3*h + 4*h)*(0 + 3 - 2).\nAnswer: 13*h - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8727632 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82349101, 164698200, 247047299, 329396398?\nAnswer: 411745497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*j - 11 - 21 = 0, -4*j = 3*p - 112. Suppose -p*v - 776 = -44*v. What are the prime factors of v?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -633831\/2 smaller than -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*r = -3*h - 2, r = -1. Let i(y) = 2*y + 7. Let k be i(-6). Let t = h + k. Solve 2*f - 2*l - 2 = t, -4*f + l + 25 = 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1, -0.139 in increasing order.\nAnswer: -0.139, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21373231001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16118*y = 2780*y - 1600560 for y.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.175949*0.63.\nAnswer: -0.11084787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.124, -48842 in decreasing order.\nAnswer: -0.124, -0.3, -48842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 744*j\/5 + 69192\/5.\nAnswer: 2*(j - 186)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i - 70 = 28*i. What is the first derivative of -26*w**3 - 21 + 2*w - 15*w**3 + i*w**3 wrt w?\nAnswer: -81*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 1 - (-2 + 3). Let c = o - 2. Let n(r) = -r**3 - r**2 + r - 1. Let i(p) = 7*p**3 + p**2 - 2*p + 3. Let k(h) = i(h) + 2*n(h). Determine k(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 183\/380 - 17\/20. Let s = f + 33\/38. Factor -s*d - 1\/3 + 1\/2*d**2 + 1\/3*d**3.\nAnswer: (d - 1)*(d + 2)*(2*d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172.43 - -172.4. Which is the closest to -1? (a) -1\/2 (b) o (c) 0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257325 to the power of 1\/2, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaaayaoaouayuuapu. Give prob of picking 2 a.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 2*a + 380, 4*a + a = -10. Let h = -24 - p. Let d(l) = -7*l + 10 + 71*l**2 - h*l**2 - 3. What is d(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 7*w**2\/2 - 5*w + 1. Suppose -7*f + 9*u + 14 = -6*f, -3*u = 3. What are the prime factors of k(f)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -33409, 3\/4 in increasing order.\nAnswer: -33409, -2\/9, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:25 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398 is divided by (-928)\/152 + 6 + (-6817)\/(-323)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -5*10\/(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 24 = 5*h - m, 3*m - 20 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {h: 1, j: 1, p: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 75?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3131, 6264, 9397, 12530, 15663?\n\"Answer: 3133*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 + 1288*y**2\/5 - 2*y\/5 - 1288\/5.\nAnswer: 2*(y - 1)*(y + 1)*(y + 644)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*p = 76*p + 3*y + 13, -5*p - 20 = 5*y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34418090, 34418099, 34418112, 34418129, 34418150, 34418175?\nAnswer: 34418204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 2*n - 1. Let w(k) = k**2 - 5*k + 177. What is 3*m(f) - w(f)?\nAnswer: 2*f**2 - f - 180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 17*h**3 + h**2 - 4*h - 4. Let q(g) = -16*g**3 - g**2 + 3*g + 3. Suppose 3*z + s - 9 = 0, -2313*z - 4*s + 12 = -2309*z. Calculate z*r(n) + 4*q(n).\nAnswer: -13*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-731.\nAnswer: -10965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, h: 6, y: 4, v: 6}. Give prob of picking 2 h and 2 o.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(0*f - 5*f - 9*f)*(f**2 + 2*f**2 - 4*f**2 + 3*f**2 + 0*f**2 - 4*f**2 + (-5 + 1 + 2)*(2*f**2 + 3 - 3) - f**2 - 1 + 1).\nAnswer: -196*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 2\/13*w**2 + 2\/13*w**3 + 0.\nAnswer: 2*w**2*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from ufuuufffffusfssf?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 14 = 0, 69*k - 72*k + 4*c - 34 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.52659643677 + 32.5266. What is r rounded to seven decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 6 = 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 242 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -2, -354, -3, -20106 in descending order.\nAnswer: 18, -2, -3, -354, -20106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 63 = 4*n, -11 = -2*n - 2*o + 13. What is the highest common factor of n and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bc47 (base 13) in base 5?\nAnswer: -1320004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*u + z - 18, 0 = 3*u - z + 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p - 6. Let b be g(-4). Let q(n) = 1432*n + 20093. Let z be q(-14). Solve c = -u + 1, 5*u - 3*c - b*c - z = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2. Let o(n) = n**2 + 19*n - 7. Let s be o(-11). Let x = s + 97. Let j(z) = -3*z - z**x + 255 + 3*z - 254. Give -4*j(m) - q(m).\nAnswer: -m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p. Let h(f) = 61986*f**2. Determine z(h(j)).\nAnswer: 247944*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/43 < -51850.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**2 - n. Let r be c(-1). Let t be r\/2*(-4)\/42. Let z = -2587 - -2585. What is the third smallest value in z, t, -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1423 plus 32962.09256?\nAnswer: 31539.09256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 39 + 37 - 3*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 14 = 29*u. Let g = -7 - -11. Suppose -5*b - 17 = 3*w, 4*b - 2*b = -g*w - 4. Calculate the greatest common divisor of w and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 40 = 4. Let o = 13 - v. What is the nearest to -0.1 in -4, 6, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45847704?\nAnswer: 2, 3, 7, 272903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*a**2*b + 39*a**2 - 64*b + 1 wrt b.\nAnswer: 21*a**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 36*n - 5. Let l(x) = 35*x - 5. What is 5*j(g) - 4*l(g)?\nAnswer: 40*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/8 - 0)\/(3\/(-20)). Suppose -4*t - 28 = x, 0 = -3*t + s - 11. Which is bigger: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:30 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*v = 3*w - 199*v, w + 15 = 4*v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.72\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014393 rounded to six decimal places?\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3507, 13939, 31297, 55581, 86791, 124927?\n\"Answer: 3463*h**2 + 43*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (11\/(-5) + (-28)\/35). Let m(i) = -5*i - 3. Let t(c) = 11*c + 7. Let r be ((-6)\/(-4))\/(1\/(-4)). Let l(a) = r*t(a) - 13*m(a). Calculate l(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1913.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -4 - (-4 + 7 - 4). Let y(r) = 32*r**3 + 7*r**2 + 10*r - 27. Is y(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/947825 and -41\/124.\nAnswer: 3791300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 26 = m. Suppose g = 157 - m. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163495 or 1945?\nAnswer: -163495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -71 (b) 0.3 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46929024 a multiple of 2368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 51 = 3*j, 4 = -0*j - 2*j. Let u = 1317341\/34 - 38748. What is the common denominator of (330\/w)\/((-64)\/(-18)) and u?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3178.59 rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1333*f - 418572. Calculate t(-314).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in 4\/5, 5, -4, 1\/4, 6.9678, -1?\nAnswer: 6.9678","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -26789160*-0.1\nAnswer: 2678916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.57 - -31931878351\nAnswer: 31931878351.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 99, 236, 469, 828, 1343, 2044?\nAnswer: 2961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 5*k - 40. Give h(-11).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2 - 13, -2*g = 2*f - 10. Let y be ((-8)\/10)\/(5\/(-50)). Calculate the greatest common divisor of y and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(1 + (-4)\/(4\/3)). Which is the closest to -4? (a) r (b) -4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1236 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182481?\nAnswer: 41, 151, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b - -5?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -347.\nAnswer: 69.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300128, 300119, 300104, 300083, 300056, 300023?\nAnswer: 299984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40699433 to the power of 1\/2, to the nearest integer?\nAnswer: 6380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b7325 (base 12) in base 3?\nAnswer: 110020010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4154 (base 6) in base 5?\nAnswer: 12214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(33)\/((sqrt(3) - -2*sqrt(3))*-2))**2.\nAnswer: -25\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 6 - (-2 + 0)) + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20366762 is divided by 5116?\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142764762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 258.36?\nAnswer: 775.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*v - 5 + 55, -v = d - 15. List the prime factors of (16\/d)\/(2\/25).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.988 + -0.012. Let l be ((-175)\/(-15))\/7*2\/(-8). Let k = -1\/12 + l. What is the smallest value in a, 1, k, 5\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -9*s - 549. Let p = s + 241\/4. Put 3, 2, -1\/4, p in descending order.\nAnswer: 3, 2, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/6 - 11*i**3\/6 - i**2 + 5*i. Let l(r) be the first derivative of k(r). What is the units digit of l(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49132556 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/21? (a) 1 (b) 1\/5 (c) -74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzf when four letters picked without replacement from {f: 7, x: 2, t: 1, z: 3, b: 5}.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -3\/4, 18.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*r**2 + 2*h*r*y + 39*h*y - 2*h - 17*r**2*y + 5*r**2 + 2*r*y - r wrt y?\nAnswer: 2*h*r + 39*h - 17*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 3*o**2 - 3*o + 5. Suppose 19*k - 11*k = 32. Determine h(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 0 - (-16 + 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 13*p + 4. Calculate u(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 8*s - 8. Suppose 4*b + 15 = -9. Let a be m(b). Suppose -3*t - 10 = 4*h, -a*t - 4*h = h + 12. Solve -r = 3*v - 7, -r + t*v - 1 = 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:13 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -469*i + 343 + 918*i - 462*i. Let b be t(26). Suppose 3*m + m - 28 = 0. Sort -1, b, m in descending order.\nAnswer: m, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 498 times 886?\nAnswer: 441228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89246268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-2)\/4 - -1. Let g(r) = r**3 + 6*r**2 + 8*r + 7. Let f be g(-3). Suppose -h + 3*h - m*o - f = 0, 2*h + 5 = -3*o. Let x(k) = k. Determine x(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((11638\/(-47610))\/(4\/(-54)))\/((1 + 0)\/2)?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 637, -4, -227, -2 in decreasing order.\nAnswer: 637, -2, -4, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1810234 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-4) + (-339)\/(-4). Suppose h = w - 4*p - 45, 4*w = 5*p + 472. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one thirds of a decade in months?\nAnswer: 2840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -40*g - 24. Let s = -6 + 2. List the prime factors of f(s).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179378*0.07.\nAnswer: -12556.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 73 - (49 - (-14 - -47)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0, 161.9, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 97044 at least as big as 97044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m + 5*k - 65 = 0, -86*k - 25 = 5*m - 87*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50284727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 6*f - 2. Let w be u(5). Let k be (-128)\/6*w\/2. Let o = k - -71. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -1202100221112?\nAnswer: 1202100221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5 + 20*l**4 - 18*l**3 - 20*l**2 + 19*l = 0?\nAnswer: -1, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**3 + 6*g**2 + 3*g. Let n(l) = -4*l**3 - 7*l**2 - 2*l. What is -2*n(j) - 3*v(j)?\nAnswer: -j**3 - 4*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 106, 69, 8, -83, -210, -379, -596?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/2)\/(-3))\/(300\/(-2700))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21734430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r = -2. Let b be (-2 + r)*1\/(-1). Let g(j) = -8*j**2 + j. Give g(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1045*x**2. Let l(v) be the second derivative of v**4\/4 + 2497*v. Determine l(s(u)).\nAnswer: 3276075*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 197 - 21. Calculate the highest common factor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-3)\/(-10)*5\/3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8793.\nAnswer: 3, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.73 + -0.33. What is the closest to 2 in i, 0.3, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, y: 6, q: 1, p: 6, j: 1}. What is prob of picking 1 q and 1 y?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-30))\/(789\/(-6575))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 - 7*c**2 + 3*c + 2. Let l be o(3). Differentiate 49 - 10 + 11 + 10 + 2*r**3 + 14*r**l with respect to r.\nAnswer: 6*r**2 + 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -51911452, -103822901, -155734350, -207645799?\n\"Answer: -51911449*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 29*g = -7*g + 320 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*n + 3*t + 288, -2*n = 2*t - 162. Let d be (-1581)\/68 + (-15)\/(-12). What is the common denominator of 1930\/(-252) + d\/n and 133\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 728 and 15280720?\nAnswer: 15280720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 45?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 16. What is the units digit of (y + 4)*(-1 - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 14*y**2 + 39*y + 25. Let r be v(12). Suppose -175 = -4*z + f, z - 5*f = 5*z - r. Calculate the smallest common multiple of z and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526 - q**3 - 975 + 449.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80838 and 282933?\nAnswer: 565866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -519 + 550. Suppose n*t - 1305 = -14*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041957054 rounded to three decimal places?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.4. Let s = 0.37 - 0.17. What is the closest to o in s, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 96113300.6683 and -0.5.\nAnswer: 96113300.1683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**4. Let f(d) = 180*d**4 - 5*d**3 - 10*d - 24. Let p(z) = -f(z) + 5*i(z). What is the second derivative of p(n) wrt n?\nAnswer: -2100*n**2 + 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.99629657 to three dps.\nAnswer: -4.996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4 - 983*g + 14 + 993*g. Give h(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102.7 - -0.0651.\nAnswer: 102.7651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1190, 1281, 1426, 1619, 1854, 2125?\nAnswer: 2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 11:01 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -73, 29 in descending order.\nAnswer: 29, -0.4, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 4*l = -z + 12845, -4*z + l + 51363 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2. Let i(l) = 18 - 9 - 6 + 15*l. Give y(i(g)).\nAnswer: -225*g**2 - 90*g - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + -2 + (-2*sqrt(1872))**2 - sqrt(1872).\nAnswer: 7486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1139 divide 239625098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 41 = -3*p. Let s(f) = 4*f. Let l(n) = n. Let b(o) = p*l(o) - 5*s(o). Let u(v) = -13*v + v**2 + 13*v. Calculate u(b(j)).\nAnswer: 100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 - ((0 - -9) + -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5640 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -6 + 14. What is the third derivative of 15*u**2 + 0*u**2 - 7*u**l + 16*u**2 - 19*u**6 wrt u?\nAnswer: -2280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 523389839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 55?\nAnswer: -13\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 77 = 22. Let q(f) = 4 + 3 - 10*f**3 - 1 - b*f**2 + 6*f + 9*f**3. Let l = 14 + -20. What is q(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k + 159*k = -191*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*3*(-2)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1728440 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.0000046 - 8. What is u rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121480 - 47850. What are the prime factors of i?\nAnswer: 2, 5, 37, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*l + 170 - 136. Sort 840, -5, l in ascending order.\nAnswer: -5, l, 840","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2433 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: What is the value of 7 - -1 - ((41 - 22) + -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 0, 0*t + 12 = -m - 4*t. Let f be (-81)\/m + (-9)\/12. Let l = f - -6. Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, f: 1, u: 7, b: 2, e: 1, t: 3}. Give prob of picking 1 u and 1 f.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 5*i - 3. Let v be m(-5). Let t be (-2)\/6 - (-11)\/v. Let a = 12 + t. Solve 3*x + a = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1766*t*y + 895*t + y**3 wrt y.\nAnswer: 1766*t + 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 0 - (13 + -10). Let a be (p - -1) + 5 + 2. Differentiate -3*n**4 - 2 - 1 + a*n**4 with respect to n.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -26*b**2 - 4*b. Let o(v) = 78*v**2 + 11*v. Calculate -4*o(p) - 11*q(p).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 5*s - 23, -b - 4*s + 13 = -s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 4*y + 21 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 5)*(7 - 2 - 4)*(-1 + t + 0*t + 3) in the form j*t + d and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9910 - -9929. Solve -5*y + 54 = 5*p + d, -2*y - 1 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16.28? (a) -7 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110971.\nAnswer: 1110971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/5013 and -49\/57371.\nAnswer: 516339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -149*t - 97 - 201 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 258 + -19 - (-1 - 1). Suppose -w - 249 = -4*w - 3*l, 0 = 3*w - l - i. Calculate the greatest common factor of w and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 3*l + 2*l)*(-14 + 13 - 2*l + 10*l).\nAnswer: -16*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -94285086010 rounded to the nearest 1000000?\nAnswer: -94285000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21339 + -0.28661. What is the second biggest value in s, -3, -1529?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 4:21 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = d - 4*y, -3*d + 5*y = d - 235. Let z = 61 - d. Let f(m) = m**2 - 5*m - 2. Determine f(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6315, -6320, -6331, -6348, -6371, -6400, -6435?\nAnswer: -6476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19b16 (base 13) in base 11?\nAnswer: -347a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -50\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 9*f**2 + 9*f - 6. Let w be c(8). Let a(b) = b**2 - 2*b - 405. Let z be a(21). Which is greater: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77 + -71 + (-69)\/11)*1\/(-6)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*(-41 + -7 - -45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**2 + 6*s**2 - s**5 - s**5 + s**2 wrt s?\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138226019?\nAnswer: 1061, 130279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1053 - -697. Let q be (-8)\/(-12) - c\/6. Calculate the greatest common factor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q + 25. Suppose 11 = z + 9. Suppose i - 53 = -i - 5*g, z*g = -i + q. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2494 - 2296 = -2*c. Suppose 85*z - 90*z + c = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + g + 3. Let f be r(-3). Let q be (12\/f)\/((-2)\/3). Let p be q + ((-48)\/(-10))\/3. Are p and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*h - 125. Suppose -5*x + 50 - 5 = 2*a, a + x - h = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s - 2. Let v(b) = -6*b - 6. Let f(p) = 2*p + 2. Let q be f(-6). What is q*j(o) + 3*v(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**3 + g**2 + g - 1. Let z be n(1). Let i = -6\/7 + 32\/21. Sort z, 3\/2, i.\nAnswer: z, i, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x + 7 = 211*x - 469. Factor 21\/2*a**3 - 12 + 49\/2*a**4 - 159*a**x + 86*a.\nAnswer: (a - 2)*(a + 3)*(7*a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o = q + 963, 5*q + 1273 = 4*o. Suppose 0 = 19*c - 12*c - o. Suppose -47*d + c*d + 4 = 0. Solve -d*x + 3*x = 4*u - 22, x - u + 3 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 85672?\nAnswer: 85672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -12*x - 3. Let i(g) = 11*g + 3. Let p(l) = 4*i(l) + 3*k(l). Let v be p(-6). Let r be -2 - 2\/(42\/v). Put r, -2, 2 in increasing order.\nAnswer: -2, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 7:23 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -25927, 1 in ascending order.\nAnswer: -25927, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14426861 to the nearest integer?\nAnswer: 3798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)*1)\/sqrt(4) - (sqrt(2) - (sqrt(2) + sqrt(2)*-3 + 2)))**2 - (4 + (6*-2*sqrt(162) - sqrt(162)))**2.\nAnswer: -27382 + 928*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, r: 3, v: 6, l: 3}. What is prob of picking 2 a?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -102411 (base 10) to base 6\nAnswer: -2110043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2.4, 2\/3, -23, -0.2, 5, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -11, -25, -45, -71?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-3684)\/(-15))\/(9\/(180\/8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*d - 5. Let w be (-4)\/((-4)\/d) + -2. Suppose i = -2*q - 4, i + 5 = -4*q - w. Which is the nearest to -0.2? (a) 5 (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 6. Let c be q(9). Let h = c - 19. Solve 4*w - h*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 504\/(-126) - (-5 + (3 - 5)). Let a = 279\/164 + 2\/41. Let -a*m - 1\/2 - 1\/2*m**j - 7\/4*m**2 = 0. Calculate m.\nAnswer: -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37 or -43?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1 + g + 3*g**2 + 0 - 4*g**2. Let h(p) = -5*p**4 - 4*p**2 + 4*p + 3. Let b = 0 - -4. Let f(r) = b*n(r) - h(r). What is the derivative of f(z) wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.13 - -3.83. What is the closest to 11 in p, -2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from pqqqpqqq.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 33c (base 15) to base 4\nAnswer: 23130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/((-45)\/60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t**3 - t**2 + 1 - 80*t + 0 + 82*t to the form j*t + v + m*t**2 + s*t**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1149*v = 1135*v + 70 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-2)*b)*b)**(-29)\/(b**0*b*b)**(1\/5))**22 assuming b is positive.\nAnswer: b**(-9614\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 157 or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830298069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 + 5*q**4 + 13*q**4 + (-q**3 + 0*q**3 + 3*q**3)*(-q + 5 - 5) + 0*q**2 + 0*q**2 + q**4 as x + m*q**2 + h*q**3 + b*q**4 + i*q and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18541359, 0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6880, 27333, 61362, 108967, 170148, 244905, 333238?\nAnswer: 435147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5610*s**3 + 11229*s**3 - 5616*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 - 17*l + 6. What is the remainder when t(5) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16))**26\/(o**40*o*o*o**(2\/17)*o) assuming o is positive.\nAnswer: o**(-7805\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 133 + 29 = -2*n, -3*n = -2*r - 331. Calculate the remainder when 250 is divided by (r\/205)\/(1\/(-80)).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/33)\/(6976\/76736)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341527 and 4991.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 335305, 335307, 335309, 335311?\nAnswer: 335313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8114621\/8 - 1016509. Let f = -2185 - w. What is the common denominator of f and 9\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 12*q**2 + 9*q - 5. Let s be b(-11). Suppose -4*u - 5*z - s + 54 = 0, -2*u + z = -1. Solve x - 2*x - 17 = -u*y, 4*y - 16 = -2*x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -4*i - 136. Calculate the smallest common multiple of 28 and i.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3432*-43207.\nAnswer: -14828.6424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, -2, -17880, -1931?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*g + 123*g**3 - 122*g**3 - 121*g.\nAnswer: g**3 - 149*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -2*s**3\/3 - 22*s**2 - 10*s + 89. Is i(-17) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -7, 212, -10 in increasing order.\nAnswer: -10, -7, -1, 5, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 16*y = -34. What is the third biggest value in -2\/5, y, 55?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -7*j**3\/3 - 6*j - 3. What is the first derivative of i(o) wrt o?\nAnswer: -14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 160?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.73486071 to zero decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4486478 + 4484245 = 29*l for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**4\/12 + 5*v**3\/2 + 2400*v**2. Let j(m) = -3*m + 3*m + m**2. Determine a(j(s)).\nAnswer: 2*s**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59148 by -4929.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 - 2. Let t be v(-1). Suppose 2*b - 5*l = 132, -t*b + l + 121 = -19. Let n = b + -30. What are the prime factors of n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 34 - 13 + 90 - 11.\nAnswer: -p**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**3 + 5*y**2 - 1028. Let w(z) = 29*z. Give w(t(j)).\nAnswer: -87*j**2 + 290*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 0*z + z - 268 - z + 483 + 329 + (1 - 8 + 2)*(1 + 1 - 4)*(-2*z + 4*z - z).\nAnswer: 11*z + 544","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - -2) + -50 + (-26 - (-48 - -69))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwvv when four letters picked without replacement from wtvvwvww?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 238266 and 1927890.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30584210819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4092\/217 + 8\/7. Solve q = -6*t + 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*o - 17, -5*d - 3*o + 0 = -23. Suppose 2*k - 24 = d. Suppose k = 2*c - 0*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 462235*y**3 + 1849020*y**2.\nAnswer: -5*y**2*(y - 4)*(y + 92451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g**2 + 4*g + 25*g**2 + 40 + g - 8*g.\nAnswer: 6*g**2 - 3*g + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from {o: 5, h: 1, w: 3, x: 11}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*j**3 + 97*j**3 - 31*j**3.\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 81*v**2 + 109. Let m(p) = -4*p. Give t(m(b)).\nAnswer: 1296*b**2 + 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 385876547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 2633*x + 2*x**2 - 2631*x - 17*x**3 - 6*x**3 + 23*x**3 + 241*x**4 as u + c*x**4 + s*x**3 + k*x + v*x**2 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and -40357.\nAnswer: 48428.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvcvvvvccv. What is prob of sequence cc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/4990 and -13\/998.\nAnswer: 4990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(637) + sqrt(637) + 2 - (sqrt(637) + -4*(sqrt(637) + -1)))**2.\nAnswer: -140*sqrt(13) + 15929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98536 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -283*g + 285*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x + 0*x**2 - 7*x + 9*x**2 + 6*x**2 to the form g*x**2 + m*x + k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**32*v)\/(v\/v**(-2\/39)))\/(v*v*v*v*v*v*(v**(-41)\/v)\/v*v*v*v\/((v**(-3\/19)\/v)\/v*v)))**(-35\/3) assuming v is positive.\nAnswer: v**(-1680350\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.889612ms to seconds.\nAnswer: 0.000889612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4429?\nAnswer: 43, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17134658?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*m = 18, 0 = 5*n + 4*m + 9 + 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 12\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93245 and 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11, -55, -131, -239, -379, -551, -755?\n\"Answer: -16*v**2 + 4*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5) - (-9702)\/(-990)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6168 + -6173. Which is the closest to -0.36? (a) 5 (b) 1\/9 (c) m (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**2 + 69*y + 107. What is z(-3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 0*x - 2*x**4 + (2*x - 2*x + x)*(-4*x**3 - x**3 + 4*x**3).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8 + 2 = 0. Suppose -y = -6*y - g. Is y - 324\/8*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/4984 and -127\/8544.\nAnswer: 59808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -398 and 0.099?\nAnswer: -39.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 7*t**2 - 4*t - 1. Let h be v(-2). Let n = -36 + h. Let z be (n - -16)\/((-6)\/16000). Round z to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118612422*h**3*k**3 + 4*h**3*k + 3*h*k**2 + 518*h - 3425*k**2 wrt k?\nAnswer: 711674532*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1364, 8\/7, -0.8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 3. Let w(j) = j - 1. Let p(g) = -6*b(g) - 17*w(g). What are the prime factors of p(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, -196, -640, -1274, -2104, -3136?\nAnswer: -4376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**2 - 3*w**2 + 0*w**2 + (-1 - w + 1)*(-34*w + 27*w + 21*w).\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13437, -53760, -120963, -215046, -336009, -483852, -658575?\n\"Answer: -13440*f**2 - 3*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*b - 1495 = 1375 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21954*n + 7309*n + 7326*n + 7338*n.\nAnswer: 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 14*o + 2*n - 8, -2 = -4*o + 3*n. Suppose -3*k + 7*k - 60 = o*a, 0 = 3*k + 5*a - 19. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 57, 252, 587, 1068, 1701?\n\"Answer: o**3 + 64*o**2 - 4*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 26 = -2*w, 2*w - 2 = v - 0. Let n be (-1 - 2)\/w*-9. Let j be (n\/12)\/((-2)\/8). Put j, 3\/8, 5 in descending order.\nAnswer: 5, 3\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*r**3 + r - 8355 + 4182 + 4181.\nAnswer: -72*r**3 + r + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4808627916 divided by -6?\nAnswer: 801437986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -66 (b) -0.64 (c) -1289\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 22836060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2. Let h(o) = o + 1. Let q = -38 - -35. Let s(y) = -4*y + 3. Let f(d) = q*h(d) + s(d). What is j(f(r))?\nAnswer: -245*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k + 3*k - 7*k)*(k - 4*k - 3*k) + (2*k**2 + 2*k**2 - 2*k**2)*(7 + 32 - 3) as o*k**2 + h + y*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2 + 37*g + 9. Calculate k(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 3*s**2 + 6*s**2 - 3*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 1\/2*n**3 - n**2 + 0*n**4 + 0*n**5 - 1\/120*n**6 + 0 + 0*n. Differentiate t(u) with respect to u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - ((-3)\/(-1) + 26). Let o = r + 30. Calculate the smallest common multiple of o and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3695824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4968?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2885614*j**2 - 76559*j.\nAnswer: 5771228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0.1. Let m be (-31)\/(-33) - (-1 - -2). Let j = m + 53\/330. Which is the smallest value? (a) -2\/17 (b) j (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from {m: 1, g: 1, u: 1, i: 1, e: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*v + 20 = 0, 3*j - 4*j + 2*v - 7 = 0. Let r be (-9)\/j*(-5)\/4. Let y = r - -11\/4. Which is the second biggest value? (a) 3 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (284\/16 - 2) + (-24)\/32. Solve -x - m - 15 = 4*x, 5*x + q = -4*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -12*u + 76. Let n be g(6). Let q be 34\/14 - (-52)\/91. What is the closest to -1\/3 in q, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4. Let x = s + -2. Let v be (-764)\/(-4) + (x - 0). What is v rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1) + 14380\/25. Let p(w) = -9*w**3 - w**2 - 3*w - 1. Let m be p(-4). Let k = m - g. Calculate the common denominator of -41\/3 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21096\/124343 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 455*x**2 - 19 + 48*x**2)*(0*x + 0*x + 2*x**3).\nAnswer: -814*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 3 + 1\/2*t**2 + 20*t. What is the units digit of u(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i = 5. Suppose -5*s - 810 = i*s. What are the prime factors of s*((-24)\/9)\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - (3 - -1))*118\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-7) - 85\/(-35). Suppose -3*i = -4 - y. Suppose -926 = -4*n - i*h, -h - 3*h = -n + 245. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - 217\/(-28) - 3. Let n = 3\/4 + u. Suppose 7 = z - 4*o, -3*z = 2*z - 3*o - 1. Which is the nearest to -1? (a) z (b) n (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -71, -3 in decreasing order.\nAnswer: -0.3, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1147 - -1428. What is the second biggest value in -5, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**14\/((o*o\/(o**23*o))\/o)*(o*o**(6\/17))**(4\/13) assuming o is positive.\nAnswer: o**(8269\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82797509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -20*l - 411. Let h(m) = 11*m + 1. Give -2*h(c) - w(c).\nAnswer: -2*c + 409","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-44)*(-1284)\/57. Let m be (-2*6\/9)\/((-95)\/180). Let a = m + q. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 11:46 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17003 + 683 + 8939)*(-2*j + 0 + 0).\nAnswer: -53250*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529 = k + 3*l, -7*l + 2*l + 1607 = 3*k. Let g = -416 + k. Calculate the remainder when g is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1*7\/14*0 + 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84563.\nAnswer: 103, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 4*g**2 - g**2)*((2*g - 3*g + 4*g)*(-8 + 3 + 1) - g + 0*g + 3*g + (-3 + 5 - 3)*(4*g - 4*g + 2*g) - 2*g + 3*g - 4*g).\nAnswer: 45*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r*(((r**0\/r)\/r*r)\/r*r)\/r)\/r)\/r)\/r)**10\/(r*r**(-2))**17 assuming r is positive.\nAnswer: r**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 11:41 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**2 + 10. Let m(x) = -130*x. Determine m(l(r)).\nAnswer: -260*r**2 - 1300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by -42.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 2*i**3\/3 + 28*i**2 + 54*i - 2143. Factor c(k).\nAnswer: 2*(k + 1)*(k + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 564 + -560. What is the third derivative of 5*l**5 + 9*l**3 - 14*l**3 + 10*l**5 + f*l**2 - 3*l**2 + 0*l**2 wrt l?\nAnswer: 900*l**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 311 + -243100110?\nAnswer: -243044244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) -1.1 (c) 0.1 (d) 0.02 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 232*z - 4432. Give t(-34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10441\/69 + 2814\/23. Let v = j + -274. Let i be (1 - 20\/18)*-6. Which is the nearest to v? (a) i (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/41 in 3, -2\/33, -2\/7, -1\/11, 0.6?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-2 - 4 - -15) + 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -99\/5*s**3 - 3\/5*s**4 - 93\/5*s + 0 - 189\/5*s**2.\nAnswer: -3*s*(s + 1)**2*(s + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c + 12 + 76 + 9*c**2 - 103 + 16 to the form a*c**2 + g*c + h and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3*s = 18, -9 = 96*u - 97*u - 2*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 11452?\nAnswer: 11501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4501503119.\nAnswer: 41, 137, 801407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 3*a - 4. Let q(i) = i**2 + 11*i + 12. Let g(t) = t - 27. Let x be g(16). Let v be q(x). Suppose -3*l + v = -0*l. What is r(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3190 and 35.69.\nAnswer: 113851.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -217.913466 to 1 decimal place.\nAnswer: -217.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 - 1. Suppose 4*q - 28 = -4*y, -4*y + 4*q = -3*y + 18. What is the remainder when 42 is divided by x(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8125000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - u + 100 = 0. Calculate the remainder when 47 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + 2*g)*(-5 + 0 + 3 + (39 - 26 + 27)*(-1 + 1 + 2)) + (0*g + 3*g - 2*g)*(-3 + 1 + 4).\nAnswer: 236*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**3 + 342*v**2 + 6*v - 161 wrt v?\nAnswer: 12*v + 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d**2. Let s(v) = 6*v - 54. Let c(p) = -1. Let r(h) = -108*c(h) + 2*s(h). Determine u(r(i)).\nAnswer: -432*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 307026323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.00659 - -0.49341. Suppose -5*y + 4*v = -24, -v + 4 = -2*y + 4*v. What is the smallest value in c, 2\/3, 1\/10, y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -18*m + 258. Let c be v(24). Which is greater: c or -173?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -22*n**3 - 21916*n**2 + 465870*n + 85428 = 0.\nAnswer: -1017, -2\/11, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 80830000 rounded to the nearest one million?\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjxxpjxvxvwxwhvxxx. What is prob of picking 3 v and 1 w?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 25 - 40)*(1 - 2 + 3*w - 2*w).\nAnswer: -95*w + 95","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12906 by 9.\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 618*n**2 - 76*n**3 + 76*n**3 + 15238*n**4 + 290*n**2 - 14849*n**4 wrt n.\nAnswer: 9336*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7875 and 9516 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -3 - 0)*-1. Let s be m + -1 - (-2 + 2). Let f = 1051\/21 + -151\/3. Is f less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1 - 0.6. Let b = 9.7 + a. What is the third smallest value in 2\/7, 2\/15, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 13 = -3*g + 2*g, 0 = 4*g + 3*c - 79. Calculate the remainder when 216 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -47 (c) 50 (d) -1 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 768, 3510, 8072, 14454?\n\"Answer: 910*w**2 + 12*w - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.052 (b) -2 (c) -0.4 (d) -0.02 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 11*s = 20. Suppose -20 = 4*a, 23*h + s*a + 3745 = 28*h. What are the prime factors of h?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -104, -154, -250, -416, -676, -1054, -1574?\nAnswer: -2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -400*o**3 - 761 wrt o.\nAnswer: -1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31705 + 32135. What is the least common multiple of t and 1935?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103942 is divided by 2082?\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 228677 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36798\/11 + -3313789\/990. What is the common denominator of -61\/630 and c?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*z - 1356 = 0, -2*j - 2*z = -z + 910. Let i = j - -457. Solve -4*w + 5 = -i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 127 - 121. Let c be (8 - 4\/2)*1. Is x >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 5 = -b + 2*x, -3*b - 2 = 2*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 - 3*u - 6. Let g(t) = 10*t**2 + 5*t + 1. Let m(b) = -b**2 + 2. Let z(h) = -g(h) - 5*m(h). Calculate 7*i(c) - 4*z(c).\nAnswer: -c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 43 + -37 - (0 - -2). Suppose a*r + 13*q = 11*q + 16, 0 = 2*r - q - 8. Solve -2*g = -r*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8732*i**2 - 8807.\nAnswer: 17464*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 2*s**2 - 3*s - 1. Does 7 divide h(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47069*b**2 - 46923*b**2 - 2*b**3 + b**3.\nAnswer: -b**3 + 146*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 + 124*x**3 - 44*x**3 - 42*x**3 - 37*x**3 + 2*x in the form z*x**3 + d*x + k + u*x**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2908*l + 8285 - 19365 = -30133 - 36199 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9996620 and 55115.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 57. Suppose 0 = 4*h - c - 79. Suppose -4*g + h = -72. What is the lowest common multiple of 8 and g?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 29*x**4\/2 + 4*x + 28. Let p(j) = 2*j**2. What is t(p(y))?\nAnswer: 696*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 7:22 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -1\/15*s**7 + 0*s**3 + 1\/60*s**5 - 5\/12*s**4 - s + 0*s**6 + 9*s**2 + 0. Find the third derivative of u(z) wrt z.\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -14*r - 14. Let u(i) = 0*i - 6*i + i - 5. Let h(k) = -16*k**2 - k. Let v be h(1). Let o(q) = v*u(q) + 6*y(q). Differentiate o(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5. Suppose 2*v = -h*v + 34. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 122 + 542. Let c(i) = i**2 + 4*i + 6. Let n be c(5). Let b be (-4)\/p*5*n. What is the highest common factor of 306 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/((-37)\/6327*-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -9*i + 35. Let n be 12*(i + 124241\/3 + 4). What is n rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7770 and -41\/262.\nAnswer: 1017870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 38*(1 - -2)\/18*-3. Let c be (-2)\/m - (-2088)\/1102. Solve -3*b + 3\/2*b**c - 9\/2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 392 + -84?\nAnswer: 30b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-10) - 796\/(-60))*(-117)\/14690 and 55\/8.\nAnswer: 4520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37960649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 + 25 + 7*l**2 + 3*l.\nAnswer: 7*l**2 + 3*l + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h - 12. What is the units digit of d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r. Let a(c) = -50361262*c - 3. Calculate v(a(u)).\nAnswer: -151083786*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 2*g + 255. Calculate t(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 114.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 5. Let c be j(6). Let y be -1 + c + (-1)\/(-2). Is 2 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/18 + (-56)\/6. Let w be (-15)\/25 - 296\/t. Calculate the highest common divisor of w and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c7 - 2fb6f?\nAnswer: -2fd36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - n = -2*m - 4, 0 = n - 3*m - 3. Solve 3*q - n = -0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1122 + 13*f - 31*f - 1122 + f**3 + 18*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 2*b - 4. Suppose 0*x + 4*v + 1 = -x, -11 = -3*x + b*v. What is the remainder when (3 - x - 3) + 44 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3063.276701 + 3061.717. Let j = t + 1.56. What is j rounded to 5 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3992 and 5.\nAnswer: 19960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*o**2 + 20762900*o + 216617375 wrt o?\nAnswer: 6*o + 20762900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(3*-2*sqrt(7200) + sqrt(7200) + sqrt(7200) + -1 + -3))**2.\nAnswer: 21120*sqrt(2) + 1843321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2008, -2014, -2024, -2038, -2056, -2078, -2104?\nAnswer: -2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 209690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29390273, -58780532, -88170789, -117561044, -146951297, -176341548?\nAnswer: -205731797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38867436 divided by -18.\nAnswer: -2159302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75885 + 29*f**2 + f - 75887 + f**4 + f**3 - 3*f**4 to the form i*f**2 + l*f**4 + p*f + g + d*f**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*a + 21 = 0, -2*i - i + 4*a = -23. What is the remainder when 35 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**3 - 6*u**2 + 4*u. Let y(l) be the first derivative of 3*l**4\/4 - 5*l**3\/3 + 5*l**2\/2 - 194. Determine 5*g(b) - 6*y(b).\nAnswer: 2*b**3 - 10*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - (73 - (-24 - -84)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 2*t**6\/15 + t**2\/2 + 3*t + 3. Let g(w) be the first derivative of x(w). What is the derivative of g(r) wrt r?\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -645 - 451. What is the common denominator of w\/(-84) - (182\/49 + -4) and 91\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, p: 13}. What is prob of sequence pd?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.006 (b) 0.0594 (c) 0.01478 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 132f0 + 6?\nAnswer: 132f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.65 and 0.4.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 55 = -7*o. Differentiate -45 - 13*j**4 - 6*j**4 - 6*j**4 - o*j**4 wrt j.\nAnswer: -144*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1074 - 13 - 59)*(-3*a + 4*a - 3*a) as g + j*a and give j.\nAnswer: 2292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*v = 308*v - 568 - 1376 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-222)\/1998*(24\/2)\/1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-133) + (-2448)\/84.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*m + 40, -l = 4*m + m + 8. Suppose -40 = -l*c + 2*c. Suppose 2 = n, -y + 2*n = -5*y + c. Sort y, -3, 4.\nAnswer: -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -26, -57, -100, -155?\n\"Answer: -6*c**2 - c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 400.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 36847\/1165?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4744287 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00038452261 to 6 decimal places.\nAnswer: 0.000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 841331372 divided by -2\nAnswer: -420665686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11463020 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 1 = q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.06, 3\/2, -3, 68, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (146\/(-18))\/(((-33)\/((-792)\/(-48)))\/(-18))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5770800 divided by 54960\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10698959, 10698957, 10698955, 10698953?\n\"Answer: -2*q + 10698961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-6 + 3)) + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/20856 and -83\/18012.\nAnswer: 396264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28661652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20031 (base 4) to base 16.\nAnswer: 20d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 116916.\nAnswer: 818412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*i - 44. Let d = 61 - i. Let v be (2\/(-5))\/(23\/(-2070)). What is the highest common divisor of d and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -19, -57 in increasing order.\nAnswer: -57, -19, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1321 + -4?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 6) to base 11.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 0.00466, -2.684, 4?\nAnswer: -2.684","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = 5*l, 5*p = 24*l - 19*l + 5. Calculate the highest common divisor of p and 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3073*h - 3085*h = -129600. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*i - 15478 = -6718 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/4 - 49*u**3\/4 - 156*u**2 - 144*u.\nAnswer: -u*(u + 1)*(u + 24)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20742391*c*w**3 + 310*c*w**2 + 521*c - 7*w**2 wrt w?\nAnswer: -124454346*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/10)\/((-2)\/(-5)) + 0. Suppose 2*u + 15 = -3. Let t = u - -14. Put m, 4, t in decreasing order.\nAnswer: t, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (75 - 6)\/(1\/5). Suppose -3*f = -12, -f + 22 = t - 0*t. What is the common denominator of x\/t + -1 + 0 and 49\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106791\/29464 - -2\/3683. Let d(m) = -3*m**2 + 3*m - 3. Let w be d(2). What is the common denominator of a and 4\/w*236\/(-16)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2329.\nAnswer: 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 6*u)*(-1 + 3 - 348*u + 3368*u - 2 + 635*u).\nAnswer: 21930*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 10*h. Let k(p) = p**3 - 5*p. Let t(g) = g**3 - 21*g**2 - 21*g - 26. Let l be t(22). Let i(o) = l*z(o) + 9*k(o). Factor i(m).\nAnswer: 5*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d (base 16) to base 11.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 16.5. Let k = z - 2.2. Let m = -1.1 - k. Sort 10, m, 3\/5.\nAnswer: m, 3\/5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, h: 2, w: 2}. What is prob of picking 1 h, 2 p, and 1 w?\nAnswer: 20\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 h, and 2 r when four letters picked without replacement from {q: 4, r: 3, h: 1, m: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 9, 2\/5, 3, -3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czns when four letters picked without replacement from csyyncz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 784\/31, -2\/11, 16, -0.4.\nAnswer: -0.4, -2\/11, 16, 784\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**5 - 43442*h**4 - 3*h**2 + 2*h + 6512.\nAnswer: 120*h**2 - 1042608*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8183550563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 7:10 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k - 165. Determine t(0).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 368*c**3 + 2*c**2 - 6*c - 1. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1056662640 a multiple of 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iakaiiaikaka. What is prob of picking 2 a and 1 i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + (-6)\/(-10))\/((-44)\/(-990)). Let c be 6\/(-15) + 144\/10. Suppose -2*x - c = -a. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2544 divided by 318?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 13*w**2\/2 - w + 18. Calculate the smallest common multiple of 24 and g(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-262500)\/40)\/((-2)\/32). Round c to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444 = -4*n + 4*c - 432, -2*n = 4*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (0 - (1 + -2)). Suppose 4*r - 12 + 47 = 5*c, -4*r = 0. Let q = c - n. Solve -m = q*w + 12, 5 = -2*w + 5*m - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.055, 1\/7, 0.29, -6.2?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 305112 (base 7) in base 8?\nAnswer: 145742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.652114 millilitres?\nAnswer: 0.001652114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 6*l + 371. Let s = -37 - l. Suppose 48 + s = 3*q. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23667 is divided by 1379.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -5*x**3\/6 + 2602*x. Let k(z) = 2*z - 230. What is k(f(l))?\nAnswer: -10*l - 230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 + 58*f + 6. Let q(n) = 2*n**3 - 13*n**2 - 117*n - 13. What is -13*a(d) - 6*q(d)?\nAnswer: d**3 - 52*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -404\/5 + 422\/5. Let h = 61\/400 + -21\/25. Calculate the common denominator of f and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 7.1, 3 in increasing order.\nAnswer: -1\/3, 3, 7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5\/5 + 744*k**4\/5 + 17103*k**3\/5 - 274164*k**2\/5 = 0 for k.\nAnswer: -31, 0, 11, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**5 - 3*s**5 + 2*s**5 + (2*s - 2*s - 2*s**3)*(-8*s**2 + 5*s**2 + 8*s**2).\nAnswer: -9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.2 (c) -2\/15 (d) -98\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/49, 0, 298\/7 in decreasing order.\nAnswer: 298\/7, 0, -25\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1\/572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -245939, -983609, -2213059, -3934289, -6147299, -8852089, -12048659?\n\"Answer: -245890*h**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22976641 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1\/6)\/(5\/940*6) and -5*(2 + (-19)\/7).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223690 is divided by 74563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-2 - -10 - -3) + -2 - (766 + -755)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4383 = -41*n + 57732. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3107889 to the power of 1\/2, to the nearest integer?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2*k + 0 - 4 = 3*m, 5*m + 60 = 10*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18082?\nAnswer: 2, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 14*q + 8*q)*(1 + 1 - 7)*(-5*q + 13*q + 13*q).\nAnswer: -105*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (34\/(-132))\/(9\/(-135)) and (5*-2)\/(88\/18).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20397672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -28, -80, -164, -286?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 145, 266, 351, 382, 341, 210, -29, -394?\n\"Answer: -3*r**3 + 142*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85501554?\nAnswer: 2, 3, 47, 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:54 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2756 + 0.0756. What is the second smallest value in -2, -0.09, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -1955?\nAnswer: 14\/1955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48613903?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i - 89 + 89.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516*j - 526*j + 9420 = 0. What is the remainder when j is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 7:08 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -15. Let k = -3 + f. Suppose m - 9 = -1. What is the highest common factor of k and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1397 and 64?\nAnswer: -89408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by ((-21)\/14 - -1)*2*-14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**5\/v)))\/((v*v\/(v**(-7\/5)*v))\/v)*v**(-2\/21)\/v*v\/(v\/(v\/(v**(-3)\/v*v))))**(-50) assuming v is positive.\nAnswer: v**(-5780\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 138 = -4*k + 3*d, 2*k + 4*d + 1801 = 1643 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 37 = 55. What is the remainder when 15*-5*(-9)\/15 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1034153754*r**4*u - 3473*r**2*u + 185*r**2 + 2*r*u + r - 2*u - 1 wrt r.\nAnswer: 24819690096*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m + 3 + 6*m + 3*m + 10*m.\nAnswer: -3*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -6*b**2 + 18\/5*b**5 + 0*b - 1\/2*b**6 - 39\/4*b**4 + 2 + 12*b**3. Factor l(z).\nAnswer: -3*z*(z - 2)**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6106.6 - 6107. What is the fifth biggest value in y, 0.1, 11, -6, -2\/13?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17433 + 17433 - 19*r + 14*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:30 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-238)\/(-126) + 96\/(-108). Is -2 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -46623\nAnswer: 1\/15541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8756 times 18\nAnswer: 157608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:04 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*r + 1, -2*w + 5*r - 4 + 7 = 0. Let h(c) = -18*c - 24. Give h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, d: 2, z: 1, i: 1, n: 4}. Give prob of sequence niy.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(2\/39)*s**(4\/9)\/(s*(s*s*s\/s**(-1))\/s) assuming s is positive.\nAnswer: s**(-422\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 460142809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-6) + (11060\/12)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3532106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10*((-8)\/5)\/(-4). Suppose 0*u = u - 34. Let c = u - i. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 150088 in -0.5, 1\/4, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*z - 25*z + 538. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3*(-20)\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t - t**3 - 2*t**2 + 0 - 18*t - 11*t**2 - 13. Let n be f(-12). Let k be (1\/(-1))\/(-2 - -1). Is k smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 4, -12, 2\/7, -455, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxhhhhxhh. What is prob of sequence hh?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-8)\/4*16\/768).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, c: 1, g: 2}. What is prob of sequence cd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhss when four letters picked without replacement from shvhhchsvvccchcvssvc?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16411135 to 3 decimal places.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o = -28*o - 3*v + 18933, -3*o + 3*v + 18981 = 0. What is the highest common factor of o and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 2 + 6\/2. Let i = c + 7. Suppose -5*k + 5*m + 6 = -4, 2*k + 5*m - i = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((-15)\/20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 17*g**2 + 482*g - 2. Let v(j) = -52*j**2 - 1442*j + 7. Let k(w) = 2*v(w) + 7*z(w). What is the second derivative of k(c) wrt c?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 divided by 157?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1960986 to four decimal places.\nAnswer: 0.1961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1348?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/(-12)*(-12)\/10. Suppose y*j - v = 1 - 20, 5*j = 2*v - 23. List the prime factors of (4\/(-6))\/(j\/90).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/767 and -6\/295.\nAnswer: 3835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 3*s - 3. Let g be w(3). Let r be (38\/8)\/(18\/72). Suppose 3*o = -2*m - r, 13*o + 23 = 10*o - m. Put g, -1, o in increasing order.\nAnswer: o, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(195\/30 - 5) - (-21 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 114275 divided by -4\nAnswer: -114275\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -178 - -321. Calculate the highest common divisor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.1988 in 4, 0.4, -3, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-20) - -2*186\/60. Let p(w) = -w**2 - 5*w + 6. Let z be p(-5). Solve -3*s - y = -z*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5223699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*b = -59*b + 69*b + 257543. Calculate the remainder when b is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-292)*48\/72*-4?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6076965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**3 + 4*n**2 + 7*n + 11. Let m(i) = 3*i**3 - 2*i**2 - 4*i - 6. Let a = 454 + -460. Determine a*z(p) - 11*m(p).\nAnswer: 3*p**3 - 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55 - 56 + 92 - q)*(3*q + q - 3*q - 5*q - 2*q + 5*q + (1 + 1 + 1)*(q - 2*q + 0*q)) to u + x*q**2 + n*q and give n.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*h - w, 5*h + 10 = 3*w + 50 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/189 and 127\/7992.\nAnswer: 55944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**3\/4 + 15*d**2 + 75*d = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 63. Let y(b) = 23*b**2 + 5. Let m be y(1). Let n = l - m. Solve -3*a + 2*a = -n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727778237 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 16*j + 16. Let m(q) = -q - 1. Calculate a(z) + 12*m(z).\nAnswer: 4*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 3*j**2 - j - 2. Let i be 64\/11 + 18\/99. Let g be ((-8)\/6)\/(4\/i). Give v(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6691798, -13383591, -20075382, -26767171?\n\"Answer: l**2 - 6691796*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1668 divide 121627730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 22*h + 12 = 0. Solve -2*z = -h - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 4, q: 7, z: 5}. Give prob of sequence cq.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 104130 (base 6) in base 12?\nAnswer: 5046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2110132 + 32?\nAnswer: -2110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -1*sqrt(425) - -2*sqrt(833).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 76913, 76925, 76935, 76943?\n\"Answer: -q**2 + 15*q + 76899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 2. Let t be 2 - (0 - 4 - 0). Let v be i(t). Let n = -7 + 5. What is the closest to -1\/3 in n, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 1092.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-34)\/10 + 2. Let l be (-4)\/5*10\/(-4). What is j in 12\/5*j - s + 1\/5*j**3 - 6\/5*j**l = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 - 3*x - 18 + 30 - 11 as r + l*x + j*x**3 + f*x**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -25. Let z be -2 + w - (-3 - (-185)\/65). Which is the nearest to 0.4? (a) z (b) -2\/13 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294\/(-588))\/(7\/109) + 3\/(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2242 is divided by 47?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -9749555.\nAnswer: -3899822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32477*h**4 - 16237*h**4 - 16242*h**4 + 58*h - 3*h**2 - 48 + 3*h**2 - 2417*h**5 wrt h?\nAnswer: -48340*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2221, -17772, -59999, -142246, -277857, -480176?\nAnswer: -762547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/19 + 50*c**2\/19 + 106*c\/19 + 54\/19.\nAnswer: -2*(c - 27)*(c + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 5*o - 7. Let r be y(-5). Let z = r + 9. Which is the nearest to z? (a) 0.3 (b) -2\/13 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i - 1001 = -5*y, 2*i - 3*y - 680 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.026 times -0.03\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -633*p**2. Let u(h) = 67915*h. Calculate u(s(r)).\nAnswer: -42990195*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005845 rounded to seven decimal places?\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -532 + 1358. Let f be (12\/14)\/1*h\/(-177). Let o be (-13)\/4 - 1\/(-4). Put f, 1, o in descending order.\nAnswer: 1, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 767712.\nAnswer: 5373984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2204, 17589, 59340, 140639, 274668, 474609, 753644?\n\"Answer: 2197*g**3 + g**2 + 3*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-4))\/(y\/y**4)*y**(-2)*y**(1\/12)*y*(y\/y**(-1))**37\/(y**(-1))**(-17\/2) assuming y is positive.\nAnswer: y**(871\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 35148990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 654, 2, -2\/23 in increasing order.\nAnswer: -0.1, -2\/23, 2, 654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8942097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 10 = -6. Suppose 3*s = p*s. Suppose 4*b - 14 + 62 = s. Put 0.4, 2\/11, b in descending order.\nAnswer: 0.4, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1350*b - 50934 = -3*r + 1351*b, 0 = 2*r + b - 33951. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 16. Let g = p + -14. Let l = -5 + 5. Put g, -5, l in ascending order.\nAnswer: -5, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -168993.9 and -0.6?\nAnswer: 101396.34","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 2*r + 6. Let b be n(2). What is the nearest to -2\/5 in 0.1, b, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.5 - 4. Let t = -0.2 + z. Let l = t + -1.3. Which is the smallest value? (a) -0.2 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-105)\/84)\/(0 - (-2)\/8). Is f at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*d + 88*d + 19*d + 1748 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70906202 to the power of 1\/2, to the nearest integer?\nAnswer: 8421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 2.03.\nAnswer: -0.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/4 + 3*f**5\/20 - 1198*f**3\/3 + 1972*f**2. What is the first derivative of g(v) wrt v?\nAnswer: -90*v**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -162104?\nAnswer: 162109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w**5\/4 - 2517*w**4\/4 + 235953*w**3\/4 - 7542747*w**2\/4 + 6039579*w\/2 - 1192464 = 0 for w.\nAnswer: 2\/3, 1, 91, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2816.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**4\/11 + 4326*z**3\/11 - 1380*z**2 + 10850*z\/11 = 0. What is z?\nAnswer: -1085, 0, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25247*b + 330 = 25253*b. Calculate the greatest common divisor of b and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 52. Let z = 1.2 - 1.4. What is the smallest value in -0.3, x, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6*v**2. Let u(w) = 911*w. Calculate l(u(i)).\nAnswer: -4979526*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8184*c**3*p**3 - 161896*c**3*p + 1147*c**2*p**3 - 170*p**2 wrt p.\nAnswer: 49104*c**3 + 6882*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-168)\/252)\/((-2)\/310839) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1908 by -53.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24114037 is divided by 6439.\nAnswer: 6421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 61727245 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + 6.171?\nAnswer: 62.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 9. Suppose -3*y + 5*m - 9 = 3, -y - 4*m + 13 = j. What is the units digit of (-60)\/(-4) - (-1 - y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 54\/5 of a century?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -7 - (-22 + 26)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + -1)*4 + sqrt(77)\/sqrt(63))**2 + -1 + -1.\nAnswer: -104*sqrt(11)\/3 + 1985\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 156*f + 4761. What is the remainder when w(-25) is divided by 144?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d**2 - d**3 - 2*d**2 + 9*d**2 + 3. Let q be v(13). Let f = 1 + -4. Put -5, q, f in decreasing order.\nAnswer: q, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18*9*43\/(602\/(-24))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 32 - 5*u - 2*u)*(3*u**2 - 4*u**2 - 2*u**2).\nAnswer: 21*u**3 - 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 2. Give o(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55.02 - -56.02. Let n = -0.2 - -0.7. What is the third biggest value in -1, n, f, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c - 3*z, -2*c + 7*c + 23 = -3*z. Let s = 5 - c. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 448 and 11424?\nAnswer: 22848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*q - 1315 = 932, -3*d + 3*q = 2247. Let b be (0 - -1)\/(d\/(-14)). Is b less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 1:05 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -16*f + 523. Which is smaller: -4 or f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 55557?\nAnswer: 388899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*v - 0. Let h(l) = -l**3 + 2*l**2 + 3*l + 2. Let x be h(v). Let j be 2 - -2 - x - 0. Solve -o - j = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576 and 50112?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x + 132. Suppose -3*i - 5*w + 118 = 0, 0 = 2*i - 0*w + 2*w - 76. Calculate the least common multiple of i and x.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 152 - -4070?\nAnswer: 4222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -5 (b) -0.2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/40 - 183*i**5\/20 - 419*i**4\/8 - i**3\/3 - 1703*i**2. What is the second derivative of a(o) wrt o?\nAnswer: 18*o - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -11*b**5\/5 + 65*b**2\/2 - b + 4. Differentiate c(k) with respect to k.\nAnswer: -132*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.725 - -25. Round s to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:42 AM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 0*w**2 + 7\/108*w**4 + 16*w - 11 - 1\/60*w**5 - 1\/27*w**3. Let z(m) be the first derivative of o(m). Factor z(i).\nAnswer: -i*(i - 2)*(3*i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -788)*3\/4. Let o = 333 - 330. Suppose 42 = o*k - d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*u = -17, -223*f - 23 = -227*f + 3*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15927577 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13178 is divided by 693?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -43, 2 in decreasing order.\nAnswer: 23, 2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1328, -630, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.1 in -2, 61, -4, 1.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.393 + 0.39299289. What is k rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a = -8*a - 18*a. Suppose 0 = -3*t - 3*i - 12, -4*t + 2*t + 3*i = 3. Put t, -1, a in ascending order.\nAnswer: t, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from mykhkkhyaaqm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + -112 + 113?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 + 31. Let x be (-10)\/(-4)*m\/(-125). Let b = 5 + -1. Sort b, 1, x in descending order.\nAnswer: b, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.92 and -3.07?\nAnswer: -48.8744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3625865?\nAnswer: 3625865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(10\/11)\/(k**7*k*k**5*k)*((k**(2\/13)*k)\/(k\/(k*k*k**(1\/4))*k))\/(k*k*k**1*k)**(-4\/11) assuming k is positive.\nAnswer: k**(-5853\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3952 less than 0.19?\nAnswer: 0.5852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 31 - (-1 + 23).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29041241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91*d**3 - 6*d**2 + d**2 + 5*d**2 - 40*d**3 + (d**2 + 2 - 2)*(-3 - 7*d + 3) to the form h*d + b*d**3 + i + n*d**2 and give b.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + -3 + -3 + 43. Let l = d - 43. What is the units digit of (l\/4)\/(1 + 300\/(-296))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51905459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 174449, 174394, 174325, 174236, 174121, 173974, 173789, 173560?\n\"Answer: -s**3 - s**2 - 45*s + 174496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 2. Suppose p*v = 3*v + 5. Solve 1 = -l, 2*b - 2*l - v = -3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.16 and 46666.\nAnswer: 7466.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/8 + 45397*s**3\/8 - 56741*s**2\/2 + 22696*s = 0. Calculate s.\nAnswer: 0, 1, 4, 45392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 122210100000110?\nAnswer: 122210100000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6944 and 5.\nAnswer: 5.6944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = i - 3*v, -3*i = -6*i + 4*v + 476. Let d = i - 68. What is the highest common factor of d and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2683675714?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6*f + 7*f + 292 = 0, -5*f = -2*m + 300. Let x = 154 - m. Solve -o + x - 4 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 0 + 4 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 224684.5700244 - 224685.4. Let s = -16.86 + 16.03. Let u = s - p. What is u rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8545 (base 10) to base 16.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 1, 56417, -5, -0.2 in decreasing order.\nAnswer: 56417, 5\/4, 1, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of s**5\/5 + 7*s**3\/6 - 9*s**2\/2 - 31*s. Let o = 3711 + -3710. Let w(d) = -d**3 - d + 1. Calculate o*a(f) + 6*w(f).\nAnswer: -2*f**3 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 3. Let z be h(5). Let x be 4\/z - (-24)\/9. Suppose 1 + 0 = -r, -x*v - 11 = 2*r. Which is the smallest value? (a) 2 (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -12, 1, -0.2, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006766201 rounded to six dps?\nAnswer: -0.000677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -14b?\nAnswer: 13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 22*d**2 - 3*d - 54. Let h be v(-22). Suppose -15 + 615 = h*l. Calculate the highest common factor of l and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 5.6. Let l be (-90)\/132*(-280)\/(-1050). Let n be -1*3 - (-11 - -7). Which is the closest to n? (a) s (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-35))\/2*7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12238 is divided by 1372?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78897390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6053271, -12106454, -18159635, -24212814, -30265991, -36319166, -42372339?\nAnswer: -48425510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 9. Let o be t(-5). Suppose o*a - 6 = 2. Suppose -a*u - 4*s = 8, -5*s - 40 = -4*u - 4. Calculate the smallest common multiple of 1 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -4*b - 264. Let w be b\/60 - 3997\/(-5). Find the third derivative of -8*u**3 + w - 799 + 10*u**2 wrt u.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + (2*sqrt(126))\/sqrt(9))\/(sqrt(567) + (sqrt(567) + (sqrt(567) - (sqrt(567) + sqrt(567)*2)) + sqrt(567) + sqrt(567) - sqrt(567))))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10700\/(-535) - ((-297)\/12 + -3).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -382, 0, 162, 3 in decreasing order.\nAnswer: 162, 3, 1, 0, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 425 - 420. Suppose -3*v + h*k = -20723, k - 6913 = 4*v - 5*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 106 = -0*c. Suppose -4*f - c - 18 = -u, u - 31 = -4*f. Is u a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.1 - -84.9. Let t = 91 - h. Round t to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdbbubgfgg. Give prob of picking 1 s, 1 d, 1 u, and 1 g.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 12:23 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 134*o + 126*o - 62*o + 13*o + 42*o. Let n(g) = 3*g**2. Determine n(b(q)).\nAnswer: 192027*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1703 or -2384?\nAnswer: -1703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -24. Suppose l*p - 9 - 21 = 0. What is the second derivative of p*w**4 - 3*w - 3*w + 2*w**4 wrt w?\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -73, -144, -227, -328, -453?\n\"Answer: -i**3 - 64*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 70. Let a = y + 61. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 14*v**2 + 3*v - 8. Does 8 divide m(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1296, 2609, 3922, 5235?\n\"Answer: 1313*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - v + 402639, -9*v = 3*j - 35739 - 205920. List the prime factors of j.\nAnswer: 2, 3, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 2*sqrt(77)*-4 - 5*-2*sqrt(77))\/(-2*sqrt(175)*-6).\nAnswer: sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-3))\/(-5*(-4)\/60). Let b = -3 + 8. What is the greatest common factor of b and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**5\/120 - z**3\/6 - 9*z. Let q(t) be the second derivative of b(t). Let r(x) = -3*x**2. Give r(q(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 + 155 = 4*b. What are the prime factors of (-124)\/(-6)*(-5 + b\/8)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (322 + 150*g**2 + 2*g - 322)*(3*g + 2 - 2).\nAnswer: 450*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -900743 + 2*f**2 + 900743.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + -5. Let k(s) = -s**2 - 10*s + 81. Let h be k(5). Let z = m + h. Is z >= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 65.2419 and -3?\nAnswer: 68.2419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*k**4*v**2 - 531*k**3*n*v**2 - 265*k**2*n - 6*k**2*v + 2*k*n*v**2 - 2*k*n*v + 4*k wrt k.\nAnswer: 456*k*v**2 - 3186*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1720\/(-2193) + (-4)\/(-34))\/(2\/129)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 732702 - 415893. Suppose -1508191 - m = 5*s. What is s rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9 + 6 - 1 - 16 + n + 1. Let t(u) = -60*u + 48. Give 48*q(z) + t(z).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350216, -350186, -350138, -350078, -350012?\nAnswer: -349946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39301, -39302, -39303, -39304, -39305?\nAnswer: -39306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 - 63. Let b = 55.3 - q. What is the third biggest value in b, -1, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 88*j**2 + 5*j - 17. Is 5 a factor of w(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1839 >= -27.92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 59 = -5*l, -b + 53 = 5*l + 3*b. Solve 7 = 5*t + v, -4*t + l = -t + 5*v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9672655 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84409.\nAnswer: 13, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = h - l + 10, -4*h - 16 = 4*l. Let n(a) = -18*a - 45. Does 9 divide n(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 645, 5079, 17073, 40407, 78861, 136215, 216249?\n\"Answer: 630*r**3 + 24*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 0.2. Suppose -5*w + 0*w = 5. What is the closest to w in s, 2, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -615 + 620. Let w = 4 - 6. Let i be (-3 - -2)*(-1)\/w. Which is the closest to i? (a) y (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.002 + 0.002. Let u = -18.2 + 18. What is the nearest to 0 in t, 4, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.7949841 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 54282490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1553, -8382, -23733, -50852, -92985, -153378, -235277?\nAnswer: -341928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**2 + n**3 + 14*n**2 + 26*n**3.\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00092401 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/10*5*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -102*s**2 + 823*s - 5. Calculate the remainder when 138 is divided by w(8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 486.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004453345 rounded to four decimal places?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 - 4*u + 4. Calculate c(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -18, -57*c = -2*z - 59*c - 4. Sort 47, -4, -3, z.\nAnswer: -4, -3, z, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsasmacccasjosasss. Give prob of picking 3 a.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 1. Let o(n) = n**2 - 6*n - 11. Let b(p) = -2*p**2 + 6*p + 12. Let f = -28 + 23. Let d(v) = f*b(v) - 6*o(v). Give d(k) - 6*r(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 + 126*j**2 + 75. Is 10 a factor of v(38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -18. Calculate the remainder when g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2125 divided by -5?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5644*i - 15 = 5643*i - 4*a, 2*i - 18 = -5*a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100100100 (base 2) in base 11?\nAnswer: 1412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62597?\nAnswer: 62597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25104531?\nAnswer: 3, 257, 32561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13087848357.4 take away -0.3?\nAnswer: 13087848357.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 217642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 21*z**2 - 36*z + 34. Let t be f(-19). Let x(v) = 2*v - 3. Determine x(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 5) to base 14\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -27411920 + 3?\nAnswer: -27411919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 4*v**2 + 3*v. Let l be c(-3). Let i be (-3 + (3 - l))*-1. Does 5 divide (-7*(i + 1))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -15*a**2 + 4*a + 24*a - 44 + a**3 - 31 + 50. Let p be l(13). Sort -4, -3.5, p in ascending order.\nAnswer: -4, -3.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -13, -5 in descending order.\nAnswer: 0, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/16 (b) -0.4 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u - 44*u + 59 = -245. Solve -u*x - 5*c = -19, -2*x - c = -4*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -8*k + 116. What is c(50)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -578*t + 1260. Is r(0) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-3)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 5*i - 2*i)*(-105*i + 105*i - 28*i**4) + 5*i**4 - i**5 + 0*i**2 - 3*i**4 + i**2.\nAnswer: 223*i**5 + 2*i**4 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 19*t - 62. Let m be c(-5). Let a(j) = -j**3 - 20*j**2 - 52*j + 23. Calculate the remainder when 316 is divided by a(m).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72678 is divided by 633.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*o - 2*o = -2, -4*o - 14 = -s. Suppose 8*u - s*u - 6 = 0. Solve 3 = u*l - 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 55*q**2 + 12*q - 6. Let k be c(-11). Suppose 2*m - d - k = 0, 6*d - d + 3236 = m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b3 - -30?\nAnswer: 2e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -0.8, 17, 5 in descending order.\nAnswer: 17, 5, -0.8, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 less than 271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 11:10 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12923, -25916, -38909?\n\"Answer: -12993*z + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 59*p**3 + 2*p - 3*p**2 + 3*p + 4 - 9. Let f be l(2). Suppose -4*m + 3*g + f = -58, g = -5. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205760 is divided by 29360.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*p - 5*l, 0 = 42*p - 2*l - 3 + 55 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-14)\/21) + 3. Let v = 7 - 6.7. What is the closest to j in 0.6, v, 4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**3 + 7*f**2 + 5*f - 15. Let a(g) = g**3 - g - 1. What is -5*a(p) - h(p)?\nAnswer: -p**3 - 7*p**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -170168186 divided by -85084093\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(sqrt(16) - sqrt(80)\/sqrt(80))\/((sqrt(80)*-2 + sqrt(80) - sqrt(80) - sqrt(80))\/sqrt(10))*3 + -1).\nAnswer: -5 + 15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2628 divided by -146\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/16)\/h*h)\/h**(2\/19))\/(h**2)**11 assuming h is positive.\nAnswer: h**(-6397\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = -5. Suppose n - v = -3. Calculate the remainder when 41 is divided by (-1)\/n*0 - -14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 + (12 - -7))*(-3)\/6. Sort d, 5, -11, 1 in decreasing order.\nAnswer: 5, 1, d, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-19303)\/11) + (-2)\/(-11). Suppose 9*t + 649 = y. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*o - 25. Let i be o\/(-48) + 14\/12 + -1. Suppose i = 5*s + 8 - 3, -816 = -2*g - 2*s. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*o + 37*o + x + 7*x = -13*x - x + 54, -3*o + 3*x = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Let p(q) = 29*q**2 + q + 3. Let x be p(i). Is (-12)\/8 + x\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssf when three letters picked without replacement from {u: 1, p: 1, f: 5, s: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(392) + sqrt(392)*-2 - (sqrt(88) - (sqrt(88)*1 + sqrt(88) - sqrt(88)))\/sqrt(11))\/(-2*(sqrt(484)*-3 + sqrt(484))))**2.\nAnswer: 49\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 53 (b) -0.07 (c) -5 (d) -0.3 (e) -7 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38782662, 38782663, 38782664, 38782665, 38782666?\nAnswer: 38782667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (10 + -2 + -4 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - y**2 + 5*y + 4. Let c be s(-3). Suppose -3*i + 5 + c = 0. Solve i*w = -w + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 20 = -3*i. Let y = i - 6. Suppose -25 = -y*c + c. Put -5, 2, c in increasing order.\nAnswer: -5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010000 - -1101100111110000001?\nAnswer: 1101101010000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7369\/1295 + -5\/518. Find the common denominator of -45\/16 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 7:54 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 greater than 361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -581.731 and -0.4?\nAnswer: 232.6924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 8750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/35*75\/(-10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-28))\/w*w**(-30))\/((w**(-2\/7)\/w)\/w)**8)**(-7\/3) assuming w is positive.\nAnswer: w**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -969252, -969276, -969300?\nAnswer: -969324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + 47 + 3944*o**3 + 5 - 3940*o**3 + 3*o**2 in the form g*o**2 + m + r*o**3 + j*o and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656963680 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748986 is divided by 498.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 4*y + y)*(3 - 4 - 1) + 2*y + 3 - 3 + y + 1 - 1 + (103*y - 281*y + 72*y)*(-5 + 4 + 0) to q*y + d and give q.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) - (-10)\/6. Let r be ((1 - m) + -2)\/2. Which is smaller: r or -1\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8 + (-50)\/8)\/(1656 + -1654)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82257\/16 or -5142?\nAnswer: -82257\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 + (-33 - (-62 + 1)) + -22.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4427*h**3 + 4678*h wrt h?\nAnswer: 26562*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -3\/5, 2\/7, 2\/11, 1.\nAnswer: -3\/5, -6\/11, 2\/11, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.641 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 209647189 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*f*j**2 + 184561*f*j*p + 87784*f - 73*p with respect to j.\nAnswer: 14*f*j + 184561*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Let r = -10 + 11.6. Let o = r + 0.4. What is the third smallest value in -1, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 6*a - 1. Let p be j(5). Let m = -1 - p. Let l(y) be the third derivative of -y**5\/60 - y**4\/6 + 2*y**3\/3 - 2*y**2. Determine l(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 30*v**2 - 71*v - 488. Determine a(-28).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:53 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**2 + 277*n - 278 = 0?\nAnswer: -278, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16155?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b + 6*b - 5*b)*(37*b**2 - b**2 - 32*b**2 + 6).\nAnswer: 32*b**3 + 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p**23\/p)*p*p*p\/(p*p**(-37)\/p)*((p**(2\/19)*p*p)\/p)\/(p*p**(-14)) assuming p is positive.\nAnswer: p**(629\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-42)*39312\/2520.\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 - 27*y - 5. Determine n(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/11 (b) 32 (c) -24 (d) 0.1 (e) 1 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -222, -459, -696, -933, -1170, -1407?\n\"Answer: -237*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 0, 3, 0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c. Let d(q) = 5*q. Let u(v) = -3*d(v) + 4*z(v). Calculate u(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1058 + -55706?\nAnswer: -56765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.052 - 3.948. What is the second smallest value in 2\/3, -0.09, g?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.11 + 0.11. What is the third biggest value in o, 0, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -266646913*j - 2707925. Let i(t) = 9847*t + 100. What is 108317*i(r) + 4*y(r)?\nAnswer: 9847*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**3 - j + j**3 - 4*j**3 - 2*j**2 + 0*j**2. Suppose -k - 3*q = -1 + 2, 0 = -5*q. What are the prime factors of o(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.299998 + 1.3. Round j to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**3\/5 - 19*f**2\/5 - 83*f\/5 - 13 = 0.\nAnswer: -13, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -10908 and -1.36197.\nAnswer: -10909.36197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 217637755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-189))\/((-130)\/364*14\/(-35))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/7 and -41\/3629?\nAnswer: 25403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22110011 (base 3) to base 11\nAnswer: 46a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 582*j + 42 = -584*j, -30 = i + 20*j for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 32 + 6028*t + 70 + 35 - 4 - 6026*t as w*t + o and give o.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*s**5 - 345*s**4 - 775*s**3 - 330*s**2 - 40*s = 0 for s.\nAnswer: -1, -2\/7, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*-4*1)\/sqrt(5).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207913425 to the power of 1\/2, to the nearest integer?\nAnswer: 14419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 n when four letters picked without replacement from {n: 3, s: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 208 + -206. Factor 8*x**2 + 18*x**3 + 3*x**3 - 11*x**3 - 3*x**c + 5*x**4.\nAnswer: 5*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 19 = x + 5*o, -4*x = -8*o - 24. Is x != -52\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 6*o**2 + 37*o - 16. Determine m(12).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + 69 - 64 - 24?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**2*k*w - 11*g**2*w**2 + 4*g**2*w - 496*g*k*w**2 + g*k + 2*g wrt g.\nAnswer: 2*k*w - 22*w**2 + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12)*-15*(-38)\/95.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 3549544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/28)\/(35\/((-3360)\/(-72))). Which is the nearest to f? (a) 0.5 (b) -82 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49\/1357 - 3\/59. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 2. Let w(h) = 3 + 4 - 3 - 3. Let u(b) = -b + 2. Let a(z) = -u(z) + 4*w(z). Suppose -5*n = 7 + 8, -4*n - 6 = -v. Calculate v*j(f) - 7*a(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 - -48837199?\nAnswer: 48837447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*d + 317 = -961*d - 9673 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17883.\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301989319?\nAnswer: 173, 211, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -12*v**3 - 3*v**2 - 5*v - 2. What is m(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35050 is divided by 1844.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 5*a. Let m(p) = -51*p**2. What is m(f(r))?\nAnswer: -1275*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/6636916 and 79\/1295008?\nAnswer: 53095328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2628*p**2 + 8196*p**2 - 2068*p**2 - 2989*p**2 - 2771*p**2 - 8712*p**3 wrt p.\nAnswer: -52272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 4*l - l - 226, -4*l + 35 = q. Suppose 12 - q = -5*g. Suppose 163 = -6*m + g*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**6\/6 + 19*b**3\/6 - 18*b + 5. Let z(y) be the first derivative of u(y). What is the second derivative of z(d) wrt d?\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -39*g + 96. Solve 4*p + o - 50 = -38, 0 = g*o + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (164\/3)\/(7 + (-721)\/105)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -100111111011?\nAnswer: 101000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*x = 2285*x + 368*x + 46048 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 491651016.\nAnswer: 2, 3, 17, 1205027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 134, 136, 138?\n\"Answer: 2*k + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**2 - 41*a**2 + 12*a - 5*a.\nAnswer: -29*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**3\/3 - t**2 + 13*t. Let h be p(8). Let i = h - -25. Solve -9 = -2*k - k + 5*v, -5*v - i = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 + 9*v + 34. Let y be x(7). Let m = -0.13 - -1.13. Which is the closest to m? (a) 3\/5 (b) -11 (c) y (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134609 - 66022. What is the ten thousands digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-244)\/(-62) + -2. Which is the nearest to k? (a) -1\/7 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214195.59 minutes to hours.\nAnswer: 3569.9265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61 + -60. Sort -4\/3, 5, d, -2\/9.\nAnswer: -4\/3, -2\/9, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -465.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 3*j**3 - 27 + 78 - 26.\nAnswer: 3*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, -2, 10, 0.015, 0.6 in descending order.\nAnswer: 10, 0.6, 0.015, -2, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = 3. Suppose -5*g - 15 = 5*d, 2*g - 2*d = p*d. Let z be ((g - -2)\/3)\/(-2). Sort -0.2, 1, z.\nAnswer: -0.2, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26509176 divided by -9\nAnswer: -2945464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*y**4 + 8*y**3 + 349*y.\nAnswer: -156*y**2 + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Suppose 0 = 5*z + 2*i + d*i + 65, 4*z - 3*i + 45 = 0. Let x = z - -6. Is x equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 + -135 - (-1 + 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*q**3 - 71*q**3 - 15*q**3)*(-2 + 5*q + 0*q - 4*q) + (2*q - q + 2*q)*(-1 + 2 - 2)*(-2*q + 2*q + 2*q**3).\nAnswer: -137*q**4 + 262*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = k - 27. Let q = -21636 - -21660. Calculate the greatest common factor of k and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1846959 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.704 (b) 2\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 482 + -378. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-2*-6 - sqrt(190))\/((sqrt(70)*-3)\/sqrt(7)).\nAnswer: -11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -118*f**3*l**2 + 2*f**3 + 21*f**2*l**4 - 109*f + 1 wrt l?\nAnswer: -236*f**3*l + 84*f**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 5*g**2 - g. Let c be s(-5). Suppose 2*t + 213 = c*o, 2*o + 3*t - 2*t = 78. What is the remainder when o is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*u - 375 = -123*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -30. Suppose -28 = 2*k - n. Are k and -1\/160 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 8. Let a be m(-13). Let x be (-22)\/(-6) + a\/(-15). What is the third derivative of 5*f**2 - 3*f + x*f**2 + 11*f**3 + 3*f wrt f?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z**2 + 8*z - 10. Let d(h) = 28*h**2 - 25*h + 25. Let p(f) = -6*d(f) - 17*y(f). Determine p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -190, 2\/19, 14, -3.9, 2 in descending order.\nAnswer: 14, 2, 2\/19, -3.9, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94405 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1392 and -3.\nAnswer: -4176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 39 - (-1 - -8 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from forrrfrmhhf. What is prob of sequence ff?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 309214973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 24*n - 20*n - 3 + 25*n as k*n + t and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 38 = -134. Let x(g) = 0*g + 5*g + g**2 + 0*g + 6. What is x(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 824 divided by 88\nAnswer: 103\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -101101?\nAnswer: -110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -81*a + 960. Give x(9).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8240 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: What is -6 - (8 + -7 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17433 bigger than 14718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 20 = 2*n, -2*g - 14 = 5*n - g. Suppose 21*u = -41 - 106. Let h be u\/28*3 + 0. Which is the second biggest value? (a) 1\/4 (b) 1 (c) h (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a factor of 559126450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 + 42*i**3 - 78*i**2 + 38*i.\nAnswer: -2*i*(i - 19)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129 and 28853?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -105 - -215. Let l = b - 326\/3. Find i such that 2\/3*i**2 + 0 + 2*i**3 - l*i = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 7*t - 2. Let i(w) = w**3 + 2*w + 66. Let n be i(0). Let r be n + -1 - ((-8)\/(-4) + -6). Let b = r + -63. Calculate m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -42, -54, -70, -90, -114?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggaggagggag. Give prob of picking 2 g and 1 a.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(130)*2)\/(sqrt(60)\/(sqrt(24)\/sqrt(4))))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -216 - 536*c**3 - 28\/3*c**5 - 344\/3*c**4 - 1152*c**2 - 1044*c.\nAnswer: -4*(c + 3)**4*(7*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306011392.\nAnswer: 2, 43, 27799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**2*w*x - 4*q**2*x**3 + q**2*x**2 - 296*q*w*x**3 + 243*w*x**2 + x**2 wrt x.\nAnswer: -24*q**2 - 1776*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 159 divided by 21\nAnswer: 53\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1424 = 203*o - 606. Solve -2*r - 5*i - 13 = -o, 5*i + 1 = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110000010100 (base 2) to base 8.\nAnswer: 36024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**3 + 8*u**3 + 3*u**2 + 3 + 6 + u**3 to n*u**3 + d*u**2 + l + h*u and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 350\/193 (c) -174\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 34 + 6*z + 43 + 50 - 7*z.\nAnswer: -z + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19701632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 81, 394, 915, 1650, 2605?\n\"Answer: k**3 + 98*k**2 + 12*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvttvvdmvdeevdvddtev. What is prob of picking 1 d and 2 e?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*u**4 - 428705*u**3 + 4594806600*u**2 - 2297296125*u.\nAnswer: 5*u*(u - 21435)**2*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2610 = -10*c + 28*c. What is the smallest common multiple of 3 and c?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/20*(-9)\/(108\/(-480)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 390\/99)\/(23\/69). Suppose 2*u - 5*u = -15. Suppose -2*q - 8 = 0, -2*l - 10 = -0*l + u*q. Which is the second smallest value? (a) l (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1206 by -13528.\nAnswer: -603\/6764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 7 - (7 + -7) - 4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 4*r**2 + 25*r - 49. What is w(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3820\/3*w + 16\/9*w**2 - 956 = 0.\nAnswer: -3\/4, 717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 251404 (base 6) to base 5\nAnswer: 1204041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuunuuuououuquruu. What is prob of picking 1 q and 2 u?\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 w when three letters picked without replacement from wwwwwmrmwrrrwm?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92394 and 464212.\nAnswer: 363477996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*q + 5 - 3*q**3 - 2*q**4 - 14*q + 24*q in the form k*q**3 + w + m*q**2 + d*q**4 + s*q and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a07 + -7?\nAnswer: a00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = 2*w - 7*w - 5*o, 0 = -4*w - 5*o + 384. Is w a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 8335032417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*j - 442 - 503 = 0 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 522*j**3 - 226*j**2 + 226*j**2 + (-j + 2*j - 2*j)*(-j**2 - 3 + 3) - j**3 + 0*j + 0*j to the form y*j**2 + n*j + m + i*j**3 and give i.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234171 + -1.2243?\nAnswer: 3234169.7757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 78. Calculate the lowest common multiple of 5 and (-40)\/t - -4 - (-2)\/(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.03 (b) 40 (c) -2\/21 (d) 0.5 (e) -2\/7 (f) -24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/6 + (-12)\/(-4). Suppose 8 = 4*j - 2*p, -5*j + j = p - 2. Let z be (21\/(-27) + 1)*j. Sort z, -0.1, u in increasing order.\nAnswer: u, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23807239.179 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62085901?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -9059836\/5 <= -1811966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 18. Calculate t(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 1, t: 1, r: 1, w: 1}. What is prob of picking 1 t and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 e when three letters picked without replacement from effffffeffeffefefff?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8560.7 - -8561. Which is the nearest to 1? (a) -5 (b) -2\/81 (c) -4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 1, v: 1, j: 1, i: 1}. What is prob of sequence ijv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c**5 - 393*c**4 + 204*c**3 + 2679*c**2 + 342*c - 1728 = 0.\nAnswer: -2, -1, 3\/4, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrmymrrmymrmrmxrmxwm. What is prob of sequence rwr?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37159122 divided by -3766.\nAnswer: -9867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-15)*1 + 0 + (-848)\/(-530). Let u = 3 - 0. Sort -2, -7, b, u in ascending order.\nAnswer: -7, -2, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1495 and 17\/125?\nAnswer: 37375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 9*o**2 - o - 9. Let y be l(-9). Let n(t) = t**2 - t + 4. Calculate the remainder when 12 is divided by n(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234 * -0.2\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -2\/61, 0, 3\/2, 0.049 in ascending order.\nAnswer: -2\/61, 0, 0.049, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20272)\/(-3696) + 1\/3. Suppose 4*l = 2*s + 32, -13 = -l + 4*s + 2. Is y <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7852 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 25*y. Let l be d(1). Let p = 11 + -7. Suppose 9 = -p*k + l. Solve k*c - 5 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 390786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 26*b + 3. Let o be x(1). Let a be -1*(o\/87)\/(1\/(-21)). Let q be (4\/(-6))\/(4\/(-42)). Calculate the greatest common factor of q and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4645313 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37862, -151456, -340780, -605840, -946642, -1363192?\nAnswer: -1855496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 94 + 388 = 3*k, 5*k + 2*x - 509 = 0. What are the prime factors of k?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 2:04 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-1) - (1 + (-1540)\/(-252)))*3. Which is the biggest value? (a) t (b) -2.47 (c) -1 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - g**2 - 2*g + 54. Let x be t(0). Let o(u) = x*u - 35*u - 43*u. Let q(r) = -2*r**2. Determine q(o(i)).\nAnswer: -1152*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d. Suppose 12 = -d*k + 3*k. Find the common denominator of k\/2 + 438\/108 and -91\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 10*j**4)*(1 + 0 + 0 + (-1 + 0 - 1)*(-1 - 1 + 4)) - 37*j**4 - 67*j**4 + 19*j**4 as p*j + w*j**2 + x + c*j**3 + o*j**4 and give o.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45693785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 6:19 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-4)*-28*-1. Let z be 66\/77*(b\/(-3))\/4. Solve -5*f - n + 1 = -3*n, -5*f = z*n + 17 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2673, -21462, -72519, -171978, -335973?\n\"Answer: -2689*r**3 + 34*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*j + 18, 0 = 8*j - 3*j + 2*k. Suppose -f = -0*f. Suppose j*h - h - 18 = f. What is the least common multiple of 10 and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 23, -1, -63, -175, -349?\n\"Answer: -2*r**3 - r**2 + 19*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/3 - 23212*a**3 + 69638*a**2 - 208916*a\/3 + 23213 = 0.\nAnswer: -69639, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1266 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 725*d*m**4 + 4*d*m**3 - d*m**2 - 9*d*m - 30*m wrt m?\nAnswer: 17400*d*m + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 290466\/511 bigger than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4306\/9609 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4466 and 319?\nAnswer: 4466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 337\/2 - 189. Let i be (-7)\/14*(-40)\/(-1). Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 8:06 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -4*i. Let c = 5 - i. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1623 (base 13) to base 9\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270) - (sqrt(270)*-1*-5 - sqrt(270) - sqrt(270)))\/(sqrt(360)\/sqrt(4) + -2*sqrt(640) + sqrt(10)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 984\/(-52) - 28\/364. Sort 295, 0, z.\nAnswer: z, 0, 295","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - x, 3*w + 7*x - 11 = 5*x. Sort 5, -7, 3, w in ascending order.\nAnswer: -7, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 290 = -h - 71, -4*p = h - 211. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 17*o**2 + 11. Calculate h(-17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 5*d**2 - 7*d + 3. Let n be r(3). Let p = -13 + 16. Put p, n, -1 in decreasing order.\nAnswer: p, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + 321?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*-12*(-8)\/896.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298320 and 7389360.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**2 + 3085*u = 0. Calculate u.\nAnswer: 0, 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 4*v + 2 - 5, 3 = s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0508, -3.2, 1 in decreasing order.\nAnswer: 1, -0.0508, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = -3*v - 0*i, v + 20 = 4*i. Let w(x) be the second derivative of 1\/12*x**4 + 2*x - 2\/3*x**3 + v + 2*x**2. Suppose w(z) = 0. What is z?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317.27 - -42.0915.\nAnswer: -275.1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36424 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:52 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y + 3 - y**2 - y**3 - 6 + 3*y**2. Suppose -4*q - 4*z = -24, -12*q - 5*z + 3 = -16*q. Let j be h(q). Solve 2*g + 9 = -5*i, j*g = 2*i + 18 - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20938348 is divided by 6979365.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1385525?\nAnswer: 2771050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 56799*q + 82074690.\nAnswer: -(q - 58209)*(q + 1410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = 4*i, 5*i + 15 = 4*p + 2. Suppose 3*r + 40 = 3*b - p, -b - 3*r = -14. What is the derivative of b*m**2 - 14*m**2 - 4 + 2*m**4 wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 7:35 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = -7*d + 210. Suppose 3*a = 3*c + 12282, 10 = -8*c + d*c. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 16 = -0*d. Let q(x) = -2 + x**2 - 2*x + x**2 + 3*x**2 - d*x**2. What are the prime factors of q(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5840)\/(-1460) - (80\/(-6) + (-4)\/6).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Let p = 280.6 - 280.9. What is the closest to -1\/4 in j, -2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 divided by 802842?\nAnswer: 22\/133807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.8103ns?\nAnswer: 0.00000000000189175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**4\/6 + 3*m. Let k(y) = 15 + 7*y - 15. Calculate t(k(p)).\nAnswer: 98*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f - 11. Let h(z) = -4*z**2 + 13*z - 14. Let j be h(1). Let x(o) = -11*o - 17. Let t(a) = -a. Let b(n) = 3*t(n) + x(n). Determine j*b(c) + 8*p(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*a + 16. Let b(c) = 2*c + 14. Let t = -42 - -37. Calculate the lowest common multiple of b(t) and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + n = 3*n + 25, k = -2*n + 17. What is the least common multiple of (-3)\/(-9)*-3*-3 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/27, -36534, 3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3038)\/558 + (-9)\/(648\/112)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -w + 13 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/224 and -65\/644.\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 22906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 13*t**2 - 24*t + 38. Calculate the least common multiple of 1276 and a(11).\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17081 times 0.19\nAnswer: -3245.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 0*w + 0*w - w + 9*w - 113 in the form u + s*w and give u.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 12 = -u, 4 = 5*u + 5*x + 44 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 18*r + 6. Let s(u) = -234*u**2. Give z(s(d)).\nAnswer: -4212*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {x: 10, g: 10}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 130, -4, -26, -5 in increasing order.\nAnswer: -26, -5, -4, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56 - -60. Let b be 0 + z + (3 - 4). Let q = -4 - -2. Sort q, b, 4, -1 in ascending order.\nAnswer: q, -1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*6\/(-21))\/((-2)\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 4*p**2 + 5*p - 3. Let o be c(3). Let m = 1 - o. Let g(h) = -33 - 46*h + 65 + 17*h - 34 + 25*h. Give g(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31\/9 + -3*(-6 - -7). Let y = 21 - 21.5. Put y, -16, x in ascending order.\nAnswer: -16, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 11. Let c be 1 + t\/((-12)\/261). Suppose 2*o = 6*o - c. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 24 = 4*p, 0*i - 18 = -3*p - 2*i. Suppose -p*c + 2*c = -5*n - 597, -424 = -3*c - n. Is c a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 110\/(-33)*((-117)\/15 + 6). Solve 5*v = -2*c - z - 11, 4*v - 5*c = -40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -15*x - 57. Let f(k) = -2*k**3 + 62*k**2 + 59*k + 156. Let p be f(32). Determine s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2595.\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 242, 362, 466, 548?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7556, 15171, 22912, 30839, 39012, 47491, 56336, 65607?\nAnswer: 75364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 5, -2, -4 in descending order.\nAnswer: 5, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 34069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2091 divided by -108837.\nAnswer: -697\/36279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2704, 171, -12828, -41525, -91152?\n\"Answer: -872*n**3 - n**2 + 3574*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11.09 - 1968572310.\nAnswer: -1968572298.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-114)\/1577*(6 - (-57)\/(-9)). Which is the biggest value? (a) 1\/27 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2 - 3*f. Let q be ((-22)\/(-4) - 6)*-4. Give p(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.392 - -0.008. Let m = -0.4 + o. Let v = m + -12. What is the smallest value in v, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b + 1. Let q(w) be the first derivative of 9*w**2\/2 + 2*w - 8017. Calculate -7*j(g) + 3*q(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 655235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 1:35 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*n - j + 10, 5*j - 9 = 11 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1151 - -1152. What is the second biggest value in c, 0, -1\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/10*724\/4706.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 + 6*w - 6. Suppose 0*i - 5 = 5*i. Let c(p) = p**2. Let o(t) = i*q(t) - 3*c(t). What is o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 5:39 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -451585022*-0.2\nAnswer: 90317004.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116595349.\nAnswer: 13, 23, 41, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**8\/1344 + 17*q**7\/420 + 11*q**6\/20 + 283*q**5\/120 - 265*q**4\/96 - 25*q**3 - 136*q**2 - 12*q. Solve v(r) = 0.\nAnswer: -24, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*k + 60, -2*k - 2*k - 12 = 0. Suppose -p = -n - 13. Suppose -1 - p = -y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 7. Let l be w(6). Let h be ((-2)\/4)\/(2\/(-16)). Suppose 5*y - 2 = b + b, 4*y - 4*b - h = 0. Solve -2*g - 6 - 1 = -o, y = -o - l*g - 28 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -453 - -658. Calculate the highest common factor of 82 and o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5241, -5257, -5283, -5325, -5389?\nAnswer: -5481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 270*y**4 + 16*y**4 + 92*y**4 - 154*y**2 - 76*y**4 wrt y?\nAnswer: 7248*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 23*n**2 - 31*n + 9. Let c(o) = o**3 - 11*o**2 + 16*o - 4. Let w(x) = 5*c(x) + 3*m(x). Is w(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 60 + 245. Suppose -z - 8*z = 846. Let b = w + z. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1213 - 1199) + (1 - 4 - (1 - -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 420*k**3*q**5 - 108*k**3*q**3 + k**3 - 2186*k**2*q**2 wrt q.\nAnswer: 25200*k**3*q**2 - 648*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 3*p**4 + 21*p + 29. Differentiate k(a) wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-5 - 0\/5) + 3. Solve -x*n = -2*w, -11*w + 12*w - 3*n = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((((a\/(a*a**27))\/a)\/a*a)\/a))\/a*a*a**(7\/11) assuming a is positive.\nAnswer: a**(337\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22150 (base 10) to base 3.\nAnswer: 1010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 4, -19 in increasing order.\nAnswer: -19, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/15 - 19*n**4\/24 - n**3\/2 - 25*n**2. What is the tens digit of h(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 76*f + 1165. Let z be k(-15). What is the closest to 1 in -2, z, -3, 68\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 0. Let h = d - -28. Solve 2*q - g = -h, -3*q + 7*q = -g - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + 2 - 2)*((-4 + 4 + 1)*(-3 - 3 + 4) - 182 + 45 - 21) - 5*k - 5*k - k to n*k + s and give n.\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 116 + 1 + 260 + -265. What is the highest common factor of 5 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven quarters of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 18*q - 11. Suppose -48*n + 13 = -49*n. List the prime factors of y(n).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**2 - 143 + 69*t - 524 - 133 - 4*t**2 wrt t?\nAnswer: -6*t + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (-21 + -79 - -116)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 5)\/(6\/2). Let b = -8 + x. Let u = b - -5. Which is smaller: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42213616 (base 7) to base 3\nAnswer: -20201012202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 999 = -0*o + 3*o, 4*o = -5*i - 1665. Let w = 359 + i. What is the remainder when 72 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 354584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 161?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -82. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -131*g**7\/105 - g**4\/12 + 74*g**3\/3 + g**2 - 142*g. Find the second derivative of r(i) wrt i.\nAnswer: -3144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**3\/2 - d**2 - 710*d + 2. Let s(c) = -31*c**2. What is x(s(v))?\nAnswer: -93*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/6 and -41\/38412?\nAnswer: 38412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 363123493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/153*-4)\/(14*(-24)\/1512).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/(-152)*8\/6. Let w(v) = v**3 - 4*v**2 + 2. Let d be w(4). What is the third smallest value in 5, k, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 25 = -63. Let i = 24 - a. What is the greatest common factor of i and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17073\/1626)\/((-3)\/4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -102*k**3 + 19*k**2 - 38*k - 7. Let o(f) = 102*f**3 - 22*f**2 + 42*f + 8. What is 7*c(j) + 6*o(j)?\nAnswer: -102*j**3 + j**2 - 14*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -16*c + 80. Let n(i) = -1. What is -l(q) - 80*n(q)?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*n - 5*x + 10 = 0, 3*x = 4*n + 35. Let b = -3 - n. Suppose 0 = -4*c + 6*h - 2*h + 344, -c + 74 = b*h. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 66105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 3 = -a, -11*a - 5 = -5*u - 8*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2 + 77466*r + 77468 = 0?\nAnswer: -1, 38734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/122 and 5 - ((-513)\/36 - 5).\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13306 (base 8) to base 2.\nAnswer: 1011011000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k. Let l(n) = -11*n - 1. What is -3*l(f) - 8*p(f)?\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163188965?\nAnswer: 5, 5689, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 13*p**2 - 33*p. Let v(g) = 14*g**2 - 33*g. Determine -4*i(h) + 3*v(h).\nAnswer: -10*h**2 + 33*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/30 - 17*d**2 - 2. Let m(o) = 36*o. Calculate m(z(a)).\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*p = -6*p - 15, -4*s = 2*p + 2. Suppose 5*f + 6 - s = 5*t, t - 4*f + 8 = 0. Solve 2*m - t = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-9\/8))\/(b\/(b\/(b\/(b*b\/(b**(-50)\/b))))) assuming b is positive.\nAnswer: b**(415\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 21*z**3 + 22*z**2 + 10*z + 6. Let b(s) be the first derivative of s**4\/4 + s**3\/3 + s**2\/2 + s - 11. Let f(x) = 6*b(x) - q(x). Factor f(m).\nAnswer: -m*(3*m + 2)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1008.35629 to 1 decimal place.\nAnswer: 1008.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/4, 4\/3, 3\/7, 0, -20\/363, 11, -339?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288*n**4 - 28*n - 2 wrt n.\nAnswer: 3456*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 235 - 231. Find the third derivative of -17*h**4 + x*h**2 - 2*h**2 + 50*h**4 wrt h.\nAnswer: 792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**8\/70560 - d**6\/2520 + d**5\/30 - d**2. Let w(t) be the third derivative of v(t). Find g such that w(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w**3 + 1605*w**2 - 5626*w wrt w.\nAnswer: 24*w + 3210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.465 (b) -0.5 (c) 2 (d) 3\/17 (e) -2\/63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -10331.37\nAnswer: 113645.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162981187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -13.731 and 0.4.\nAnswer: -13.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**5 - 2*s**5 - 2*s**5 + (-4*s**2 + 6*s**2 - s**2)*(1 - 1 + 2*s**3) + 2*s**5 - 3*s**5 - 3*s**5 + 6*s**5 + 4*s**3 - 2*s**2 + 135*s**4 - 135*s**4.\nAnswer: 5*s**5 + 4*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114 - -114. Let d be 3 - (15\/3 - k). Is (d + 2 - -3) + 490 + -14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2527\/171 + (-8)\/(-36). Put -1, -33, j in increasing order.\nAnswer: -33, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7. Suppose 3*u - 21 = 3*c, 2*u + 5*c + 7 = -s. Find the third derivative of 6*w**2 + u*w**2 + 4*w**2 - 15*w**2 - 4*w**5 wrt w.\nAnswer: -240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 10.7. Let c = a + -2.9. Suppose -5 = -2*i + r + 4, -2*r - 12 = -i. What is the closest to -2 in i, c, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1384.6 + 1385.6. Which is greater: -9723 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22280 divided by -17163?\nAnswer: -22280\/17163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/6 + 140*r**2\/3 - 5933*r\/6 + 2827\/3.\nAnswer: -(r - 257)*(r - 22)*(r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1287539\/40 + -32186. Calculate the common denominator of -43\/22 and m.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-45))\/((-14)\/(-5)). Let z = -1.681 - 1.319. Which is the nearest to 0.3? (a) o (b) -4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebh when three letters picked without replacement from {h: 2, b: 7, e: 7}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3220 (base 7) to base 10\nAnswer: -1141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135349827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -5\/66*n**4 - 4\/33*n**3 + 0 + 3\/110*n**5 - 10*n + 4\/11*n**2. Factor b(k).\nAnswer: 2*(k - 2)*(k + 1)*(3*k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12138 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 300*a - 11107. Calculate the remainder when 1203 is divided by n(38).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2550\/10625)\/(3\/(-20)*2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z + 21*z + 30*z - 375 = 0. Solve 2 = -2*t, -z*t - 42 + 17 = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - j. Let h = 16 - 9. Suppose -h = 6*z - 1. Let v(o) = -o**2 + 6*o + 2. Let f(y) = z*v(y) - 2*u(y). Give f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*b = 35, -y + 3*b - 1 = -0*b. Let u(z) = -z**3 + 4*z**2 + 5*z - 2. Let w be u(5). What is the smallest value in w, y, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 5. Solve 0 = s*c + 5*j - 8, -3*c - 2 + 1 = -4*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1092605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -955173\/71 or -13453?\nAnswer: -13453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 + 2. Suppose 0*s + c = 2*s. What is the derivative of 4 + 3*p**2 - s + 4 wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/9*(-288)\/80.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 + 4\/(2\/(-1)). Let j = v + -7. Let r = -2 + j. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -79, -162, -255, -364, -495, -654?\n\"Answer: -b**3 + b**2 - 79*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 74010 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -5, 3, 1281\/4 in descending order.\nAnswer: 1281\/4, 3, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/69))\/d)\/(d**5\/d*d)*(d\/d**(-1\/3))\/d*d\/(d\/(d\/(d**(-20)*d)*d)*d) assuming d is positive.\nAnswer: d**(1060\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8*5)\/((-275)\/440).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 smaller than -131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**3 - 9*b**2 + 16*b - 15\/2 + 1\/2*b**4.\nAnswer: (b - 3)*(b - 1)**2*(b + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2654*d + 515*d + 222496 = 3609*d + 796*d for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.88 (b) 5\/3 (c) -0.2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + 3*(sqrt(55)\/(sqrt(15)\/sqrt(3) - sqrt(5) - sqrt(5)) - 2*(sqrt(11) + -2)).\nAnswer: -9*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 52512*g - 47703172.\nAnswer: 4*(g - 853)*(g + 13981)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 3*t + 4. Let i be c(3). Suppose 6*g = i*g + 28. Suppose -n + g = -8. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51589109, 51589107, 51589105, 51589103, 51589101?\nAnswer: 51589099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5852 and 233134.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 147, 163, 203, 279, 403, 587, 843, 1183?\n\"Answer: 2*z**3 + 2*z + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45.0192 - 45. Let f = x + -0.019. Round f to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 158 (c) 0 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**4 - 3101679*g**2 - 679*g - 1307.\nAnswer: 12*g**2 - 6203358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 549951?\nAnswer: 6049461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i + 18. Let t be q(-6). Let o be 9825\/45 - ((-4)\/6 + t). Let z = 331 - o. Is z a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-1.2\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5*(-60)\/(-200))\/(-30))\/((33\/18)\/(-11))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1362208109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2 (c) 0.0306 (d) 4\/5 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -17.\nAnswer: 23\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/3)\/((-2)\/6). Let n be j\/(-20)*4*5. Solve q + s = -2*s - n, 4*q + 21 = -s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x. Suppose 19 = 5*o - 11. Suppose -6*f + o = -8*f. What is c(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*w = 112*w + 6. Let d be ((-40)\/(-12))\/(w\/(-18)). Which is smaller: d or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*o - 4*o - 5 + (14 + 0 - 7)*(-4*o + 6*o + o) + 5*o - 4*o - 3*o - o + o - 2*o + 3*o - 6*o + o + (-1 - 4 + 4)*(-4*o + 2*o + o).\nAnswer: 14*o - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5128 - 4775. Calculate the remainder when v is divided by 132.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10022 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 910 and 43316.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72343580 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -458075 or -6.63?\nAnswer: -458075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 3. Let n be f(-1). Suppose -10*z + n*z = -24. Suppose 3*r + 169 = 4*u, -z*u - r + 90 = -83. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + o**2 + o**2)*(3*o + 3*o - 4*o) + 8*o**2 - o**3 + 9 - 8*o**2.\nAnswer: -3*o**3 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28011752 and -1.\nAnswer: 0.28011752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 576 and 2232.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 911, 1802, 2717, 3662, 4643, 5666, 6737?\n\"Answer: h**3 + 6*h**2 + 866*h + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -673 - -4037\/6. Let r be (1\/6)\/((-1)\/(-2)). Put r, g, -6 in decreasing order.\nAnswer: r, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (60\/(-4950))\/(4\/535) and -63\/10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 - 2*h. Let t be s(3). Suppose -t = -3*x - 0*x. What is the remainder when 18\/39 - (-7260)\/156 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152 + 215 - 74 + 2*g in the form l + d*g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 6*f - 7. Sort -3, 0, f, -4.\nAnswer: -4, -3, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3, 7, -0.006?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 644306 by 38.\nAnswer: 322153\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1000*m + 23. Let i(u) = -200*u - 5. Give -11*i(z) - 2*p(z).\nAnswer: 200*z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.9 + -5.9. Let z = -0.09 + 0.49. What is the closest to c in -0.5, z, 0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w**2 - 3*w**2 + (-4 - w + 4)*(4 - 4 + w) + 0*w**2 + w**2 - 4*w**2)*(2*w**3 - 2*w + 2*w).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - -12.9. Let n = a + -12.981. Round n to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s + 7. Let z(y) = -110*y - 13 + 37*y + 38*y + 23*y. Determine -11*l(p) - 6*z(p).\nAnswer: 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/582465 and 79\/116493.\nAnswer: 582465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -25*u**2 - 5*u + 190. Let w(x) = -38*x**2 - 8*x + 304. Let s(n) = -8*t(n) + 5*w(n). Let p(v) = v**3 - v**2. Determine -10*p(y) - s(y).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3 = -o + 19, 0 = 5*o - 10. Let w(q) = 454*q - 7014. Let j be w(16). Calculate the greatest common divisor of j and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -12*g - 3. Let y(u) be the first derivative of 0*u**2 - 1\/4*u**4 - 1 - u + 0*u**g. Find the first derivative of y(o) wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228 (base 10) to base 5\nAnswer: 1403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3354952697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 2*f + f. Let b(y) be the second derivative of y**5\/30 - 5*y**2\/2 - 3*y + 7. Let o(w) be the first derivative of b(w). Calculate m(o(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 6. Let u be v(8). Let j(s) = s**3 + 5*s**2 + 2*s + 3. Let o be j(-4). Suppose o = b + u. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**2\/9 - 8*x\/9 + 64\/3 = 0. What is x?\nAnswer: -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46769\/559 - 4837\/43. Let w = -196 - y. Let h = 457 + -458. Are w and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592617 is divided by 9968.\nAnswer: 4505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/16 of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, 2.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 6120?\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 12:39 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196 - -196. Let u(f) = -f**2 + 22*f + 53. Let w be u(24). Suppose -w*c + 9*c - 5068 = p. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 971058160 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + (-44)\/24)*(-24 + -9). Which is the nearest to 1.1? (a) 4 (b) m (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Let w be ((2 - 2) + j)*-1. Let r(u) be the first derivative of -7*u**2\/2 - 1. What is r(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 57. Is 16 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.4 + -2.16. Let k = 0.16 + g. Suppose -5 = -h, 2*j - j + 3*h = 11. Which is the closest to -0.4? (a) k (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 92 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 121 - (5 + 2 + (7 + -17 - -7))\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 + 2*z - 20 + 12 + 3 - z**3 + 9. Let n be c(-4). Let k(m) = m + 13. Determine k(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -0.3, 0.03, 4\/7, -1\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 181 = -5*d. Calculate the remainder when d is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -0.2. Let o = -3 + k. Suppose 0 = 11*b + 212 - 212. What is the closest to o in -0.2, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p = 25. Suppose 3*h = 2*y - 10, 2*y - 4*h = 5 + p. Solve j - 12 = -4*n, -n + y*j - 22 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1001.5 + 1026.6. What is r rounded to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -77020851\/7?\nAnswer: -77020851\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n - 8. Suppose 5*c = 2*c, -d - n*c = 1. Let f(h) be the first derivative of 3*h**2 + 1. Give f(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tiz when three letters picked without replacement from {c: 3, u: 1, i: 1, z: 1, t: 5}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 0*c**4 + 0*c**3 + 0 + 1\/120*c**6 - 11*c**2 + 0*c - 7\/60*c**5. Factor o(j).\nAnswer: j**2*(j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -9 + (7 - 14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*q - 10 = q, 3*q - 42 = -5*s. Suppose 5*a = j + 114 - 5, 4*a - 5*j - 83 = 0. What is the lowest common multiple of a and 6\/(-2)*(-32)\/s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1555877 is divided by 23220?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*k**2 + 5465*k + 2850 = 0. Calculate k.\nAnswer: -57, -10\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11769?\nAnswer: 3, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3*m**3 - 1908*m**2 - 9483*m - 11358 = 0.\nAnswer: -631, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114203012 (base 5) in base 4?\nAnswer: 100330333210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z + 40. Let k be 8\/(-14)*42\/24*4. Determine g(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.9 - 37. Let k = -2.33 - b. Let j = -0.230009 - k. Round j to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2647*h**4 + 2*h + 35906?\nAnswer: 10588*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -138.92 - -39875.54\nAnswer: 39736.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -160\/759 + 2\/69. Let t(q) = 2*q**2 + 33*q - 26892. Let p be t(108). Sort p, 1\/9, b, 0.2 in increasing order.\nAnswer: b, p, 1\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-2\/11)\/(t*t\/(t*t\/(t\/(t**(-2)\/t))))**(-32) assuming t is positive.\nAnswer: t**(1406\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3114266 (base 9) to base 7.\nAnswer: 20064414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-75))\/(43\/((-860)\/(-8)))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a + 3*a - 11 - 46 + 4*a - 2*a in the form o + d*a and give o.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 6) in base 15?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.921 - 2.66.\nAnswer: -1.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -21, -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.1119 + 0.2?\nAnswer: 57.3119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 387*z**2 + 3782*z - 5245750 wrt z?\nAnswer: 774*z + 3782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 4:44 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 11 + 11 - 26*t to the form o + r*t and give r.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1384922388 - -1384922299.9999899. Let i = -87.6575 - 0.3425. Let n = m - i. What is n rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d*v**2 - 1694*d*v - 49*d - 36*v**2 + 12*v - 7 wrt d.\nAnswer: 2*v**2 - 1694*v - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2333153 (base 6) to base 2.\nAnswer: -11101100110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 0*v**3 + 0 + 0*v**2 + 5*v - 1\/12*v**4. Find y such that l(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:19 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + q - 11 = 0, -19*q + 17*q + 20 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*d - 13. Let y(r) = r**3 - 12*r**2 + 11. Let p be y(12). Are d and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -596 - -595.5. Which is the second smallest value? (a) -1\/4 (b) 3 (c) i (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*k**2 - 2598820*k - 164757563 wrt k.\nAnswer: -24*k - 2598820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 plus -4246911?\nAnswer: -4246892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*8\/(-320))\/(-1)*(-155)\/(-744)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/27 (b) -10 (c) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/8 and 3*-1 + 5 + 138\/(-132).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6656947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**2 + 30945*y + 620900 = 0.\nAnswer: -20, 6209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6931 - 2134 = 13*p. What is the highest common divisor of 1353 and p?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 63*i**2 - 547*i + 4. Give g(-7).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/21, 1\/32509, 1, -6?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {r: 1, z: 6, s: 3, t: 1, u: 3}.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1073, 1082, 1091, 1100?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 14*b**2 - 8*b + 34. List the prime factors of x(15).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21632 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 68176529, 68176534, 68176539, 68176544, 68176549, 68176554?\n\"Answer: 5*h + 68176524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 18 - 2. What is the third derivative of -5*a**3 + g*a**3 + 10*a**2 + 17*a**6 - 9*a**2 wrt a?\nAnswer: 2040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -628 divided by -2\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5\/5 + 258*g**4\/5 + 6042*g**3\/5 + 47772*g**2\/5 + 15687*g + 7290 = 0. What is g?\nAnswer: -54, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 754230903 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2. Let w(g) = -2987*g. Determine r(w(m)).\nAnswer: 8922169*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(468) - (sqrt(468) - (sqrt(468) - sqrt(468)*1*2))) + 5 + -1*(sqrt(1573) + 2) + 2)**2.\nAnswer: -272*sqrt(13) + 3821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + 7.98. Which is the smallest value? (a) -3 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91377906*a**3 - 33*a - 312505?\nAnswer: -548267436*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9376513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.018 - 0.618. Let l = 1 - 4. Which is the third biggest value? (a) y (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n**2 - 2*n + 8. Let h(y) = 8*y**2 + 2*y - 7. Let x(l) = -7*h(l) - 6*i(l). Let z be (-12)\/5 + (-14)\/(-35). Give x(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 13. Suppose y = f*q, -y = -5*q + 4 - 1. Solve -4*b - 8 = 4*x, 0*b - x = 4*b - q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5019 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 - t + t)*(19 - 32 - 32*t + 12).\nAnswer: 64*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99017, -198030, -297041, -396050, -495057, -594062?\nAnswer: -693065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/6)\/h)\/h)**(-1\/9)*h**(-1\/14)\/h*h*h**(7\/4) assuming h is positive.\nAnswer: h**(1451\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m + 3. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 3, u: 5}. Give prob of sequence ez.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 16 = -3*m, 5*h - 8 = m - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*g + 27, 4*n + 3*g - 24 = 4*g. Solve 0*k + k = n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 3*g**2 - 4*g - 4. Let x be h(-4). Let y be ((-2)\/4)\/(2\/(-20)). Put -3, -1, x, y in decreasing order.\nAnswer: y, -1, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9559 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12346497461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 9*d - 14)*(-1 + 5 + 8) + (-1 + 1 + 2*d)*(-2 + 3 - 3) in the form w*d + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 t, and 1 i when three letters picked without replacement from {t: 2, i: 1, b: 1, l: 4, n: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkvvvvko.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12956 - -12960. What is the third biggest value in r, 1, -0.3, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + -1*-6*(2*sqrt(272))**2*-6*2).\nAnswer: 391670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqdndqnhqqddx. Give prob of sequence hh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(-4\/5)\/h)\/h*h**17)\/(h**(-11\/3))**(-33\/4))**(-3\/19) assuming h is positive.\nAnswer: h**(843\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1300)*-1 + sqrt(1300))**2 + -1*sqrt(1300)*6 + 1.\nAnswer: -60*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 384576793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: -216+3\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3918319 millilitres to litres.\nAnswer: 0.0003918319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c + 410 - 14*c - 12*c + 122.\nAnswer: -3*c + 532","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116\/3*l - 2*l**3 + 62\/3*l**2 + 32\/3 = 0 for l.\nAnswer: 1\/3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -2*u + 0 + 0*u**3 + 1\/12*u**4 + 0*u**2. Let k(s) be the second derivative of s**3\/3 - s. What is z(k(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**4\/5 - 8*h**3\/5 + 128*h\/5 + 25. Determine a so that x(a) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*n + 19. Suppose -2*a - i = -n, 4*a - i - 6 = 2*a. Solve -5*c + 3*r = 16, a*c + 2*c - 3*r = -14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/283 greater than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92432750?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 25 + 149. Calculate the remainder when s is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 13.64609 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13336090 and 4255?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -500 - -326. Let d = o + 172.97. Let c = d + 0.03. Are c and 2\/33 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + m**2 - m**2)*((-2 + 3 + 4)*(-m + 2*m - 3*m) - 68*m + 162 - 162) to the form y*m**2 + r*m + k + a*m**3 and give a.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*w - 3298 = 8714. What is the remainder when w is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**(1\/5))\/(x\/(x*x**(-1))))\/(x**(2\/3))**(-44) assuming x is positive.\nAnswer: x**(467\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -556.6 + 557. Let u = -3 - -7. Which is the nearest to -2\/5? (a) u (b) d (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7615 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 73329107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 108649160 to the power of 1\/2, to the nearest integer?\nAnswer: 10423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4115 (base 8) to base 3\nAnswer: 2220201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -0.3, 15\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 20*n**3 - 13*n**2 + 41*n - 2. Let b(u) = 10*u**3 - 6*u**2 + 20*u - 1. Let m(d) = 13*b(d) - 6*f(d). Find the second derivative of m(z) wrt z.\nAnswer: 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 - -1100?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**3\/6 + 7*c**2\/2 + 4*c. Let s be x(3). Suppose 3*m = 2*n - 76, 2*m = s*n + 4*m - 152. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13963.6920443 + 0.04.\nAnswer: 13963.7320443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 18*s**2 + 18*s - 27. Calculate u(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7262.411 millilitres?\nAnswer: 7.262411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13224 is divided by 154.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + 315 - 9*z + 0*z + 16*z to the form v + g*z and give v.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61463*r + 248395*r + 0 - 1.\nAnswer: 309858*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -1.2. Let h = b + 1. Let k be (-4)\/(-120) - (-16)\/96. What is the second smallest value in k, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 24 = -4*y + j, -y = -2*j - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2 - (-2)\/(-4). Factor 2*w**3 - 2*w**2 - 2*w + 2*w**t - 2*w - 2*w**2.\nAnswer: 2*w*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 12:24 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g + 2*g**2 - 5*g**2 + 2*g**2.\nAnswer: -g**2 + 16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*3*(-1)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -6, -5, -8 in descending order.\nAnswer: 4, 0, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -2635 and -2633 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 24 + 14 + 0 + (-2 - 8) + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001011 (base 2) to base 9.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**2. Let k(h) be the first derivative of -h**6\/180 - h**3\/3 - 10*h - 38. Let m(v) be the third derivative of k(v). Give r(m(y)).\nAnswer: -28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*z - 298 + 396 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/1626 and -47\/1626?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9362 - 9338. Calculate the greatest common divisor of 4608 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8)\/(35\/56)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - a + 3*a + 6 - 3*a. Let c = -86 - -80. What is n(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 0*q + 1 + 7*q - q. What is the units digit of y(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*g + 11. Determine y, given that 2*y + 4 - g*y**2 + y**2 - 4*y = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 18*i**2 - 8*i - 37. Calculate s(18).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 30 = -3*d, -5*l + 9*l - 2*d = 38. Solve l*x - 8*x - 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 2*i + 4 = 0, -25*i + 12 = -22*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -0.333?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 33\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(2\/37))*q)\/(q*q**27)*q**31*q**(-19) assuming q is positive.\nAnswer: q**(-557\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1888572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -4*v**3\/3 - 2. Let h(u) = -2*u**2 + 5*u - 5. Let x(s) = -2*s**2 + 4*s - 4. Let o(q) = -4*h(q) + 5*x(q). Determine c(o(r)).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.558 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**3\/6 - 3*y**2\/2 - 3*y. Calculate the smallest common multiple of 12 and s(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d = -17*d + 14 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 221*a**5 - 3*a**4*z - 8*a**3*z + 3*a**2 - 4*z - 1 wrt a?\nAnswer: 13260*a**2 - 72*a*z - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*z - 7371 = -2883 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1094, 2198, 3306, 4418?\nAnswer: 5534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 22. Suppose -5*s = 3*a - 139, -o*s - 2*a + 70 + 40 = 0. Let c = s + -6. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 - 4*r + 4*r)*(-3*r**2 + r**2 + 3*r**2) + 69*r**5 - 20*r**5 - 15*r**5.\nAnswer: 31*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.08 + -0.08. Let j = g - 5. Put j, 0.2, 0.1 in decreasing order.\nAnswer: 0.2, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -45.1.\nAnswer: -135.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 718e (base 15) to base 10\nAnswer: 23984","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x = -3*x. Let -2\/5*i**5 - 2\/5*i + 4\/5*i**3 + 0*i**4 + x*i**2 + 0 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**4 + 2909*f**3 + 3*f**2 + 34323 wrt f?\nAnswer: 4*f**3 + 8727*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2131022103110 - -111?\nAnswer: -2131022102333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, q: 13}. What is prob of picking 1 q and 2 a?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*n - 21, 0 = n - 2*p - 3 - 8. Let l(h) = 19*h**2 - h + 1. Is l(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**3\/6 - 3*m**2\/2 - 154*m. Let o(c) = -4*c + 2*c - 5*c - 3 + 0*c + 8*c. Give 5*a(n) - 4*o(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*z + 27 = 0, 2*x = 6*z - 11*z + 26. Suppose -d = x*d - 8. Solve -y + d = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2. Let g(p) = 2*p**2 - 195. Determine g(d) - 5*u(d).\nAnswer: 2*d**2 - 205","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - 7*n**2 - 2*n - 4. Let r be c(4). Suppose -r*q + 3*q + 148 = 0. Let w = q - -111. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*5\/3*3. Let l(t) be the first derivative of -3*t**2 - 5 + 0*t**2 + y*t**2. Let i(q) = 3*q. What is l(i(a))?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19866939 rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 3.61?\nAnswer: -3.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 5*h + 10)*(3 - 1 + 5)*(0 + 2 + 0)*(0 + 1 + 1)*(7 - 2 - 1).\nAnswer: 560*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k**3)\/k)*k**8*(k\/k**11)\/k*k**(-4))**(26\/7))**(-3\/29) assuming k is positive.\nAnswer: k**(702\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.3, 0, -1.25, -4, 1401?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -118\/321495?\nAnswer: -118\/321495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274131557.\nAnswer: 7, 37, 1058423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4497223 to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29 + -4958952744.\nAnswer: -4958952743.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 - -1)\/(6\/(-4)). Let u be (-12)\/r*(1 + -3). Suppose -u*b + b - 10 = -5*g, -3*g + 25 = -5*b. Solve 3*l + 3 = -g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t = -106*t + 27832. What is the remainder when 397 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - 27\/(-6). Suppose -3*l = s*k - 4 - 97, -2*k + 47 = -l. Let x be (-11)\/k + 14\/(-4). What is the second smallest value in -0.1, x, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12082211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1445, -5, 1, -129, -1, -3 in increasing order.\nAnswer: -129, -5, -3, -1, 1, 5, 1445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**4 - 64*h**3 + 60*h**2 = 0. What is h?\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -6 + 3 + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60935?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 1. Let d(v) = -5*v. Let j be d(0). Suppose j = 8*h - h - 14. Suppose h - 6 = 2*p. Calculate r(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (55 + -37)*(-27304)\/(-36) is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -264\/1721, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/12 + 3\/6. Sort g, -5, -1 in descending order.\nAnswer: g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) + (sqrt(220) - (sqrt(220) + (sqrt(220) - (sqrt(220)*-2 - sqrt(220)))*1)) + sqrt(220))\/((sqrt(20) - sqrt(5))*2*3).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 21, -17 in increasing order.\nAnswer: -17, -8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 318.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 + f. Let q(p) = 65*p**3 - 7*p. What is q(u) + 2*t(u)?\nAnswer: 61*u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 + 50*g + 61. Let i be s(26). Let v be 1 + -5 + (i - -2). Calculate the greatest common factor of 77 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2 - t + 1. Let w = 13 + -8. Let s(z) = 3*z + 1 - z**2 + 5*z - 3*z. Let g be s(w). What is d(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 16, 18, 22, 28, 36, 46?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1191*q - 377*q - 4149*q.\nAnswer: -5717*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.726, -0.2, -0.08?\nAnswer: -2.726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2842*u - 2861*u + 807785. List the prime factors of u.\nAnswer: 5, 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 505 = 475. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9086666 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75*b - 32 - 87*b + 160*b)*(4 - 4 - b**2) in the form a*b**2 + d*b + m*b**3 + s and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 38*u - 335. Let s be (-1)\/2 - (-5)\/(-2). Calculate the smallest common multiple of o(9) and (1*s)\/(15\/(-40)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13951, 27820, 41689, 55558, 69427?\nAnswer: 83296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-255)\/2210*(9\/18*-4)\/(42\/(-4))?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 0.0248, -4\/7?\nAnswer: 0.0248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 369502.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010010111000 (base 2) in base 11?\nAnswer: 3a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*u - 2350, -5*o - 437 = -3*u + 977. Let y = -289 + u. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*a + 519*a + 1943 = 236*a for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 35 - 17*h**2 - 18)*(-4 - 9*h + 9*h + 15*h) - 5*h**3 + 4*h**3 + 3*h**3 to the form f + z*h + m*h**2 + p*h**3 and give p.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 l when four letters picked without replacement from {y: 4, x: 3, q: 2, j: 6, l: 3}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + 57 + 7 + -10 + 6 + 31.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.5 - -7.8. Let i = -0.4 - 0.6. Do c and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s - 3*s)*(7*s**2 - 6*s**2 + s**2)*(-s - 4*s + 3*s).\nAnswer: 32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*w + 2 - w**2 + 16*w)*(3*w**2 - 22 - 6*w**2 + 2*w**2).\nAnswer: w**4 + 20*w**2 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-13 + 12 + -1 + -5)) + 28 + 3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 429*i**2 + 1675*i**2 - i + 3*i to h*i**2 + s + k*i and give h.\nAnswer: 2104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53114?\nAnswer: 2, 26557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 10:09 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 19*k - 4. Calculate the remainder when l(3) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 72 = m. Calculate the smallest common multiple of 4 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4640 - -4636. Let t(i) = -3*i**2 - 17*i - 14. What is t(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -317, -635, -953?\n\"Answer: -318*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + b)*(5 - 4 - 3)*(4*b**3 - 8 + 8).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1278 - -1280. What is the closest to -1 in -1, s, 412\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3623, 7246, 10869, 14492, 18115, 21738?\n\"Answer: 3623*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtt when three letters picked without replacement from mmmmmmmmtmmt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)*r\/(r\/(r\/(r*(r\/(r*r**(-1)))\/r))))**(4\/31))**(-5\/2) assuming r is positive.\nAnswer: r**(-20\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87799*c - c**2 + 87799*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v - v - v)*(1 - 1 - 2*v) - v + v**2 + v)*(-v**3 + 3*v**3 + v**3 + (-4*v**3 - v**3 + 4*v**3)*(-3 + 2 - 2)).\nAnswer: 30*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-575)\/(-90))\/((-6)\/(-3)) and -13\/6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -7*p**6\/6 + 5*p**3\/3 - 34*p + 13. Let w(l) be the first derivative of z(l). What is the second derivative of w(a) wrt a?\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -17*v**3 - 2*v**2 + 1. Let t be (-27)\/(-12)*(-16)\/(-6). Calculate the remainder when (t\/15)\/(2\/230) is divided by k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -319.99819 - -320. Round q to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**3 - 14*f**3 + 0*f**3 - 3*f**3 + 8*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 0*y**6 + 0*y**4 - 139\/210*y**7 + 185\/6*y**3 + 0*y - 10*y**2 + 2 + 0*y**5. Differentiate v(d) with respect to d.\nAnswer: -556*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 g when three letters picked without replacement from {l: 3, g: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a + 8. Let k be p(-4). Suppose k*s = s - 22. Let y(n) = n**2 - 6*n + 9. What is the lowest common multiple of y(7) and s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19783 and 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a + 343?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 641318, 641508, 641698, 641888?\n\"Answer: 190*w + 641128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2 + 4*x - 40. Suppose 43*h = 33*h - 80. Is 20 a factor of q(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -29.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 5, q: 1, g: 12}. What is prob of sequence qg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.1078974*-0.4\nAnswer: -0.04315896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 + 4*v**2 - 243*v - 728. What is f(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 11. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 2. Suppose -3*b = -b + u. What is the smallest common multiple of 11 + 1\/(-1) + b and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-8))**(-46)*(g\/(g**10*g))**(-5\/13))**(-35) assuming g is positive.\nAnswer: g**(-148260\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 692*q**3 + 1878 wrt q?\nAnswer: 2076*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/2 - (-22 - 0). Let j = s + 3. Calculate the greatest common factor of 16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49697 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294, -292, -290, -288, -286, -284?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -64066000 to the nearest 1000000.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 22*u = -7*h + 14*u + 47, -107 = -5*u - 42 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 23 - v**2 + 2*v**2 - 3*v**2.\nAnswer: -v**2 + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10*8757\/3892?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2 + -3)*-12. Solve -2*c - c = x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) + (-5)\/(20\/2). Let p be o - (-4 - -4 - 4). Let r(d) = -18*d**2 + 8*d**2 - 14*d**p. Let v(k) = 2*k**2. Calculate v(r(h)).\nAnswer: 1152*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:55 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 b when four letters picked without replacement from {b: 5, f: 15}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 + 15*x**2 + 20*x + 17. Let b be 24\/(-54) + 850\/(-153). Give z(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(210\/(-4)) + 50\/28. Let q = 713 + -719. What is the closest to -1\/2 in s, -0.7, q, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68.99 - -4.69. Let r = -64 - y. Let w = -7.7 - -0.7. Which is the second biggest value? (a) r (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 7*y + 18. Is 19 a factor of (y\/15)\/(6\/210)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75703680 divided by 56160?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6454194 years in millennia?\nAnswer: 0.0006454194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 2)\/((-6)\/(-4)). Let z be (1*j)\/(2 + -3). Let o = 0.7 - -0.3. Which is the nearest to 1? (a) o (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(-3)\/(-6) - -6. Is n at least as big as 26\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b = -6 + 62. Suppose -308 = b*h - u - 71, 0 = -5*h + 2*u - 590. Which is greater: -115 or h?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 2\/(-3*(-4)\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 33*d**3 + 5*d - 2. Let a(u) = 4*u**3 + u**2 - u + 1. Let c(h) = 41*h**3 + 6*h**2 - 3*h + 5. Let f(v) = -6*a(v) + c(v). Determine -5*f(m) + 3*j(m).\nAnswer: 14*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 14 = -2*z - 3*d, -3*z - 3*d + 45 = 0. Calculate the greatest common factor of 3 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217394 (base 11) to base 13.\nAnswer: -c195b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 20 = 0, -4*j + 6 = -t - 14 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.1, 0.5, -0.5 in ascending order.\nAnswer: -5, -0.5, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 2*w - 7, -1532 = -3*w - 1544 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 14 in descending order.\nAnswer: 14, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 6 = 5*z. Suppose -9 = 5*r - z*r. Is 11 a factor of 17 - r - (-1 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5344377 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 2. Let c(w) = -48. Calculate -c(y) - 2*o(y).\nAnswer: -2*y + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*q**4 + c**3*q**2*s - 2*c**3*q**2 - c**3*s - 2*c**3 + 2*c**2*q**3*s - 4*q**3 wrt q?\nAnswer: -48*c**3*q + 12*c**2*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -334, -589, -846, -1105, -1366?\nAnswer: -1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4159.9 and 16?\nAnswer: 4175.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 25. Solve 4*g = -w - 10 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttte when four letters picked without replacement from {e: 5, t: 11}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12840 + -13003.22. Round s to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*t + 14, 5*t - 29 = 1121*v - 1119*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12871.\nAnswer: 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at least 0.111419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/2))**(-17)\/((n\/n**(-1\/6))\/(n**(-6\/5)*n)) assuming n is positive.\nAnswer: n**(-148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-5 + -4)) + -4 + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -12 - (-4315 + 4390).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2 + 2)*(2 + 0*m - m - 5) - 4 - 2*m**2 + 4 + (m + 3*m - 2*m)*(-2*m + 0 + 0) + 0*m + 0*m + m**2.\nAnswer: -7*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t - 3. Give l(4).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65362.\nAnswer: 2, 11, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2390141063 plus 14?\nAnswer: -2390141049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(3024))\/(sqrt(108)*-5) + -2)**2.\nAnswer: -16*sqrt(7)\/5 + 212\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2104180950?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 44\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -12*z + 32. What is c(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -25. Let p = -297.1 + 282. Let l = p + m. Sort 8, 5, l.\nAnswer: l, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2197932 is divided by 439468?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -295*g + 1770. What is u(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 2640.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + 81\/126 + -10)*(-16)\/20. Which is smaller: n or -12\/107?\nAnswer: -12\/107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -3 (b) 1 (c) -14 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 177104369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7218 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7 = 29. Let w(r) = -r - 3. Let l be w(z). Solve -4*h - h = l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**6 - 38*s**5 - 59*s**3 + 128*s**2 + 48*s.\nAnswer: 360*s**3 - 2280*s**2 - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 16*f - 8. Let c be (-19 - 23)*2\/(-7). Let v be t(c). Solve 0*h + 10*h = -v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*g - 22. Let c(z) = 6*z**2 + 2*z + 3. Let v be c(-2). Suppose r + p - v = -6, -14 = -r + 2*p. What is the lowest common multiple of r and g?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 194a7?\nAnswer: -194a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 24*x**2 - x + 3*x + 1. Let h be b(-1). Let u = -25 + 64. What is the highest common factor of h and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15030806 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 + -3 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82264238831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (50 - -6) - -17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {n: 4, g: 1, j: 1, i: 5}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - d = 5, 2*d = 0. Solve 2*o = -3*i + 9, -3*o - l*i = o - 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 1)*(1 - 4). What is the greatest common divisor of k and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*v + 6 = -223*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -1\/5*d**5 + 0 + 2\/3*d**3 + 8*d**2 + 66*d - 4\/3*d**4. Factor s(w).\nAnswer: -4*(w - 1)*(w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-2))\/(-4 + 26\/6). What is the units digit of f + 1366 - ((-9)\/3 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -265, -5, 108, 1779 in decreasing order.\nAnswer: 1779, 108, -5, -265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -v + 14, -4*v + 10 = -2*v. Suppose u + 1 = 4*c + 4*q, 5*q = 5. Solve -2 + c = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, -2, 104814?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 249*a + 89*a + 160*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 5, l + 0 + 7 = z. Suppose 7*t - 4*t + 42 = z*d, 0 = -2*d - 5*t + 10. Calculate the remainder when 58 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 82*d + 580. Let m be s(-7). Let y(l) = -l**3 - 6*l**2 + 6. Let q be y(-6). What is the greatest common factor of m and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 4.808086m?\nAnswer: 480.8086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 278 = -32. Calculate the remainder when y is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5 + 5*i**4 - 38*i**3 - 41*i**2 + 216*i - 144 = 0.\nAnswer: -4, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 63515.2 decades?\nAnswer: 635.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 88. Let g be q(21). Suppose g*x - 64*x = 4650. What is x rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 122*g**3 + 32*g**2 - 30*g - 15559. Let c(a) = 53*a**3 + 14*a**2 - 13*a - 6668. Calculate 23*c(t) - 10*u(t).\nAnswer: -t**3 + 2*t**2 + t + 2226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 1404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 15 (b) 4\/5 (c) 0.23 (d) -0.4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (4 - (1 + 0)). Suppose -t*b = 5*o + 9 + 18, -b + 12 = -5*o. List the prime factors of 1\/(o*1\/(-6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + 12 - 42. Suppose j + 48 = q*j. Suppose 0 = -3*m + m + 120. What is the highest common factor of m and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7743955 (base 10) to base 4\nAnswer: 131202213103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/4)\/k)\/k)**14)**(-6) assuming k is positive.\nAnswer: k**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + -68. Let x(l) = -11*l**2 - 8 + 11*l + 5*l**2 + l**3 - 2. Let d be x(f). Solve 3*n = -y - 2*n - 23, n = -d*y - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 12*o = 24. Calculate the remainder when 23 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384809 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*t - 31 + 110 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 28989.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 17 = -4*m - l, -4*m + 1239 = 10*l + 1273 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.4 - -9. Let t = 3.68 - z. Round t to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.4122003 and -15.\nAnswer: -16.4122003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n + 5. Let r(i) = -7*i - 9. Let l(v) = 6*r(v) + 11*u(v). Let f = 7 - 2. List the prime factors of l(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37, -449, -1583, -3799, -7457, -12917?\n\"Answer: -60*x**3 - x**2 + 11*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1\/7, 251, 5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/14)\/((-6)\/(-2745)). Let b = s + 262. What is p in -2\/7*p**2 - b - 6\/7*p = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixth of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15)\/p**(2\/11))\/(p**8\/((p\/((p*p*p*p*p*p*p*(p**(1\/4)*p)\/p*p)\/p))\/p)) assuming p is positive.\nAnswer: p**(-1339\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 166640000 to the nearest 1000000.\nAnswer: 167000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1992 - -15926?\nAnswer: 176b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13348 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4 = 2*m, 5*c + 439 = 4*m + 445 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/3))**(13\/4))**(-2\/17)\/((c*c*c\/(c\/(c**(-1\/3)\/c)))**(-2)*(c\/(c\/c**(1\/5)))\/c**(-3\/5)) assuming c is positive.\nAnswer: c**(71\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11\/2, -2, -1.3, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12862648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 n when three letters picked without replacement from {n: 6, p: 7}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74880 divided by -1?\nAnswer: -74880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5 = -3*p, -2*p + 3*p + 4*h = -20. Solve p = -26*y + 19*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:23 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855628601.\nAnswer: 7027, 121763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 445971450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 16 - 8 - 2. Let k = -1 - -3. What is the units digit of h(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 2*t**2 - 5*t - 29. Determine o(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**4 - 32*z**3 + 69*z**2 - 45*z.\nAnswer: z*(z - 5)*(2*z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 852.38 - 1891\nAnswer: -1038.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/4 - 0)\/((-5)\/20). Let s(o) = -o + 5. Let b be s(r). Solve -2*z = b, z = 3*l + 6 - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 + 2*c**2 - 16*c + 51. Let t be o(3). What is the nearest to 0.01 in 5, 0.5, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 246 + 12 - 190*p**4 - 25 - 756*p**4 with respect to p.\nAnswer: -3784*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193 (base 13) to base 5\nAnswer: -2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*t + 228, 731 = -5*b - 3*t + 143. Is b\/(-3) + 9\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6975 - -6974. Let q(k) = 2*k + 24. Let x(v) = 1. Give g*q(f) - 3*x(f).\nAnswer: -2*f - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -w + 6, 4*z + z = -w + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010638 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 3*w + 51. Determine t(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/247*-39*(-65)\/(-30)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 555622, 1111251, 1666878, 2222503, 2778126, 3333747, 3889366?\nAnswer: 4444983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*p**4 - 6754*p**3 + 7*p**2 - 4502244*p + 5 wrt p?\nAnswer: -840*p**2 - 40524*p + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2327585 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 8*l - q + 365, -5*l - 2*q = -610. Is l a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*i + 10 = -87*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 6:44 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 23?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3072\/(-279) - -11)\/(-8 - (-23)\/3).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5 = b + 8 + 8, 2*p - 2571 = p + 511*b for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6040 + -6030 + (-1 - 64 - 1) + 1?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/3 - 391*u**2 - 114465*u + 344569\/3 = 0 for u.\nAnswer: -587, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {q: 15, h: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 37*m**2 + 52*m + 49. Let d be g(-35). Suppose -2*h + d + 789 = 0. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 3 + 1)*(-2*o + 6*o + o) - 3*o + 2 - 2)*(0 + 1 + 1)*(3 - 4 - 1)*(6*o - 2*o - 2*o) + o**2 + 3 - 3.\nAnswer: 225*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 753135979 to the nearest integer?\nAnswer: 27443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8310 by 1662.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 - (-146)\/10. Suppose -7*q = -r*q. Is (2\/(-6) + q)*(-2046 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1716*r + 10 = -1726*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 - ((19 - 13) + (-2 - 7)))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-1 + sqrt(1700))**2 - sqrt(1700)) + 2) - (sqrt(1700)*1 + 4)*-1.\nAnswer: -80*sqrt(17) + 5113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + -3 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 + 10. Let d = 55 + a. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, c: 2, q: 1, z: 1}. Give prob of sequence qzc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40073*g**2 + 40073*g**2 - 18*g**3.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -378697964, -757395933, -1136093902, -1514791871, -1893489840?\n\"Answer: -378697969*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40.7 + 442.7. Let d = 401.99999586 - i. What is d rounded to 7 dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 3, z: 3, x: 5}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -96*v + 2807*v + 3252*v + 0 + 2 + 2398*v to c*v + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4278 = -185*r + 371*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15357936 divided by -708\nAnswer: 21692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26016 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2089 + -2089.9996. Let h = 1 + c. What is h rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4620 from 0.1.\nAnswer: -4619.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -13\/3, -5\/21 in ascending order.\nAnswer: -13\/3, -3, -5\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -180832 (base 9) to base 6.\nAnswer: -2223302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:06 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/(264\/2310)*-1.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {s: 5, x: 14}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01481 to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 15*t**5 + 822*t**4 + 9780*t**3 + 37026*t**2 + 40797*t - 9720 = 0?\nAnswer: -40, -9, -3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -10 - 5) + -1 + -2 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 0*g**2 + 0 - 2\/3*g**4 + 1\/6*g**3 + 7*g. Find the second derivative of m(q) wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*x - 58, -11*i + 6*i = -5*x + 65. What is the lowest common multiple of x and ((-6)\/(-4))\/((-6)\/(-32))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -337 + 338. Let d be -1 + (3 - 4)*-1. Solve f + k + 3 = d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 6*b - 50*b + 3*b + 2*b - 2*b + (-2 + 4 + 0)*(0*b + b - 3*b) - 22*b + 88 - 88 as t + x*b and give x.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8898 - 8897.57. Which is the nearest to -2? (a) f (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 677 + 4?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3486764 rounded to the nearest one thousand?\nAnswer: -3487000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 1, g: 1, v: 2, s: 1, u: 1}. Give prob of sequence ut.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 414038033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 2, u: 2, w: 4}. Give prob of picking 2 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1001 is divided by 199?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17817*l - 17817*l - 97*l**2 + (0*l + 4*l - 2*l)*(2*l - 5*l + l).\nAnswer: -101*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**2 - j. Let l be y(-1). Is -3 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29364*i*s**3 - 33849*s**3 wrt i.\nAnswer: 29364*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5\/3 - 5022*h**4 + 75646376*h**3\/3 - 126505812130*h**2\/3 - 126833869283*h + 506931788668\/3 = 0.\nAnswer: -4, 1, 5023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-4\/7)\/t))**3 assuming t is positive.\nAnswer: t**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -46. Let q = -5 + 8. Let i be (f + q + -5)\/(-2). What is the highest common divisor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 3, v: 5}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 91*k**2 - k + 2. Let x(i) = 61*i**2 - 2*i + 1. Let b(v) = 2*l(v) - 3*x(v). Let n(w) = w**2 - 12*w - 10. Let g be n(13). What is b(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -26. Let h = -1.7 + -2.3. What is the smallest value in q, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001775 to six dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-5))\/(-8*33\/24).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2369 and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m = -46 + 106. Let b(u) = -2*u**3 - 2*u**2 - 2. Let s(f) be the first derivative of f**4\/4 + f**3 + 3*f + 1. Calculate m*s(r) + 3*b(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2662)*2)\/(sqrt(32)*-1) - (1 + sqrt(88)\/(-1*sqrt(392))).\nAnswer: -75*sqrt(11)\/14 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-90)\/25*1*(-2 + -3). Let l be 2\/(-12) + 3\/n. Suppose -4*y = -16 - l. Put -4\/7, -5, y, -6\/5 in decreasing order.\nAnswer: y, -4\/7, -6\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = -2*u, -3 = -3*x + 5*x - 3*u. Suppose 2*j = -2*j. Suppose j = -4*r - 6 - 2. Which is the nearest to 2\/3? (a) r (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161400 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46619*d**3*z + d**2*z + 2*d**2 + 10198*z wrt d?\nAnswer: 279714*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 0*x**3 + 4*x**3 + (-3*x**2 + 2*x**2 - x**2)*(2*x + 5*x - 5*x) - 32*x**3 + 70*x**3 - 26*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 w when four letters picked without replacement from {w: 9, k: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**4 - 16*a**3 + 4*a**2 - 5*a. Let n = 563 + -566. Let j(r) = -r**4 + 9*r**3 - 2*r**2 + 3*r. Let w(k) = n*x(k) - 5*j(k). Factor w(q).\nAnswer: -q**2*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:11 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v + 10*v)*(-4 + 0 + 5)*(-v - 2*v + 5*v).\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + -3*sqrt(275) - (sqrt(121)\/sqrt(1100) - sqrt(11)).\nAnswer: -91*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -49. Solve 2*n - 7 = 3*l, n = -5*l + q*n - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3120*b + 271445. Determine q(87).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3078 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/37625 + -1166469\/3536750. Find the common denominator of ((-11186)\/272 - -41)*(0 + (-232)\/20) and q.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.304564l?\nAnswer: 3304.564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 1687423.\nAnswer: 1687423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14364.946 + -0.0311?\nAnswer: 14364.9149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -338629897 - -338629850.9999982. Let p = n + 46. What is p rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*h + 0 + 0 + 0.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11*t = -400. Let z be (-2820)\/t + 2\/(-5). Suppose -a = a - 2*y - z, -2*a + 4*y = -56. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235*s + 267 = -232*s. Let z = -9 + 9. Suppose 5*a + 5*c - 55 = z, 5*a - s = -2*c - 19. Solve -t - a = -5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 95589\/50 and 1912 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**7\/840 + v**4\/12 - 2*v**2. Let s(g) be the second derivative of i(g). Is 12 a factor of s(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/12890 and 10\/7.\nAnswer: 90230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 9*t + 20. Let y(b) = -b**3 - 5. Let v be y(t). Suppose 3*j + j - v = 0. Is 26 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + 103. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 24 = 3*w. Let h = 2 - w. What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 191 - 53. Suppose 3*x - b = -3*r, -x + 5*r = -4*x + 148. Suppose 0 = -4*g + 79 + x. What is the greatest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.66 times 2111\nAnswer: 1393.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22463960 a multiple of 291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -79544 <= -79885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 10*d - 1. Let f be y(-9). Suppose 6*i - f*i + 22 = 4*u, 5*u - 2*i = 5. What is the first derivative of -3*r**u + 22*r**2 - 2 - 22*r**2 wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.5 + -31. Is -6 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**2 - 5*b + 1. Let m be p(1). Suppose 0 = -3*t - m*t + x + 60, -2*x = -2*t + 32. What is the greatest common factor of 33 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 32 + 13 = 87. Let r be -12 + 3 + -1 + -1. Put j, 4, r, 5 in descending order.\nAnswer: 5, 4, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d - 2*d + 3*d. Let y(t) be the first derivative of 3*t**2\/2 + 259. Determine x(y(r)).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.657289 times 0.1?\nAnswer: 2.1657289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 193068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 55455513 (base 6) to base 7\nAnswer: 20132043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015960593 to the power of 1\/2, to the nearest integer?\nAnswer: 31874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 935 divided by 2\nAnswer: 935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215677 - 215677 + 131*i.\nAnswer: 131*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 89934?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 l, and 1 y when four letters picked without replacement from {j: 1, y: 1, l: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**5 - 24*q**4 + 60*q**3 - 32*q**2.\nAnswer: -4*q**2*(q - 1)**2*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 5*o**2 + 5*o + 6. Suppose 3*q = -10 - 2. Let n be h(q). Differentiate -4*l**3 + n*l**3 + 0 - 1 wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/120 + a**3\/2 - a**2. Let p(x) be the first derivative of j(x). Let o(i) = -5*i + 9*i - 6*i. Calculate o(p(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*2\/((-1880)\/(-987)))\/(12\/(-88))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 10*r + 18. Let d be x(-8). Suppose -u = -d*u. Suppose w = 3*y + 5*w + 11, u = 3*y + 5*w + 16. Solve -4*j = 1 + y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - -1241a?\nAnswer: 1244b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*s = -3, 95136*s - 27 = 2*b + 95147*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482722 is divided by 1054.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97026373 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 72?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 7 - 16)*(-j - j + 3*j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -293568 and -293568 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 436 and 56006816?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(343)*-2)**2 + (1 + (sqrt(7) + 0)**2)*6.\nAnswer: 4164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/58 - 117650\/(-377) is divided by 42.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 15 = -l + 5*a, 0 = -5*l - 4*a - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*d + 26 - 82 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*v - 5*k - 9, 519 = -3*v - 3*k + 534 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1. Let j be (-5 - -5)\/(x - 2). Let w(f) = f**3 - 8*f**2 - 2*f + 12. Let r be w(8). Sort r, -2, j.\nAnswer: r, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 - 62*m**2\/3 + 114*m + 546.\nAnswer: 2*(m - 21)*(m - 13)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {f: 4, x: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/350492 and 33\/2.\nAnswer: 350492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 449604 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -624, 5\/2, 2, -2, 2\/9.\nAnswer: -624, -2, -2\/3, 2\/9, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -208 + 108. Let x be y\/(1 - 5) - 0. Solve 5*p - x = -0*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 534 + -510. Suppose -u*q = -19*q - 30. Solve 18 = q*v - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 10 = 5*d, -18*t = 3*d - 19*t + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, m: 6}. What is prob of sequence pm?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -0.1, -48, -3\/7, 0 in descending order.\nAnswer: 0, -0.1, -3\/7, -14, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -5*t + 86. Let y = 122 + t. What is the greatest common divisor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62816*p**2 - 31419*p**2 - 31397*p**2 - 34*p**3.\nAnswer: -34*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1, -1, 73, 0 in descending order.\nAnswer: 73, 2, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998448 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 51264 = 28*q. Suppose -t - 3*c + c = -q, 0 = 5*t - c - 7098. 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 123.49481279 rounded to two decimal places?\nAnswer: 123.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9269 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 142*d**2 - 277*d - 19. What is b(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 6*v - 11. Determine q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4245.1 (b) -3\/5 (c) -2\/87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60401, 58308, 56227, 54164, 52125, 50116, 48143, 46212?\nAnswer: 44329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 18*f - 124. What is the smallest common multiple of 3 and a(-27)?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/65148832 and -17\/882?\nAnswer: 586339488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 44 + 19*b)*(-3 + 4 + 2) - 4*b + 0*b + 2*b + (-3*b + 6*b + 0*b)*(3 - 2 - 3) + 3*b + 0*b - 6*b.\nAnswer: 46*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*w**2 + 12\/5*w - 63\/5*w**3 + 0.\nAnswer: -3*w*(w - 2)*(21*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/29600 and 113\/462500?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 5:58 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3562390165 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15860 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.3. Let o = 0.11 + -0.31. Put s, o, 3 in descending order.\nAnswer: 3, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -843740, -843744, -843750, -843758, -843768?\n\"Answer: -a**2 - a - 843738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.7640812 to 3 decimal places.\nAnswer: 2.764","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**3 - 1701 + 1701 + 19*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -525 - -528. Let j(w) be the third derivative of 0*w - 4\/21*w**7 - 2\/3*w**4 + w**2 + 8\/3*w**i + 0 + 31\/30*w**6 - 7\/5*w**5. What is g in j(g) = 0?\nAnswer: -2\/5, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15571 + -15561. Solve 5*k = -7*f + w*f + 18, 4*f + 4 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 2:48 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -531 - -540. Let i be u*(-8)\/(-24) + -3. Which is the closest to i? (a) 0.3 (b) -21 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -13*f**4\/24 + 20*f**2. Let r(q) be the third derivative of 3*q**5\/20 + 26*q**2 - 11*q. Determine h(r(t)).\nAnswer: -117*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 14*q**2 - 263*q + 3448. Calculate y(18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 349 + 691. Suppose 140 = 5*y - g. Suppose 12*n - y = 7*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 143 - 1?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 76*d. Let x(r) = -2*r**2 - r**2 - 4*r**2 + 5*r**2. Determine u(x(p)).\nAnswer: -152*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1302746562 by 2.\nAnswer: -651373281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.130623 less than -1?\nAnswer: 22.130623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8 + -3)\/(-3 - -2). Let t(z) = z + 6. Let f(p) = 2 + 0 - 3. Give l*f(r) - t(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.9 - 2.1. Let v = p - -14. Which is the biggest value? (a) 1 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -d - 1131, 0 = -d - 0*x - 4*x - 1122. Is d*(-2)\/4*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2033 in -4\/9, -5, -0.02?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 10:56 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*54\/(-486))\/((15\/(-4))\/(-1)).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(432))\/(sqrt(196) + -3*-2*sqrt(196) - sqrt(196)))**2.\nAnswer: 192\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.7 equal to -6.53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-1))\/(-16 + 14). Suppose -q - p = -0*q. Let f = q - -6. What is the greatest common factor of 6 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*l*o**4 - 67*l*o**3 + 52815*l*o**2 - o**4 + 2*o**3 wrt o.\nAnswer: 144*l*o - 402*l - 24*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 41*o + 6*o**2 - 26 + 5*o**2 - 15*o**2 + 3*o**2.\nAnswer: -o**2 - 41*o - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5491, -5496, -5501, -5506, -5511, -5516?\nAnswer: -5521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 7:14 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49 and -14?\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/80)\/((-20)\/(-16)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 21*w - 15. Is x(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**3\/3 - 3*p**2\/2 - 13*p. Let b be (2\/1)\/(2\/(-8)). Let l be 4\/b - (-10)\/(-4). Determine n(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-9))\/(58\/(-783)). What is the hundreds digit of (-4430)\/z - 68\/306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 17*m**2 - 9*m**2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62543*a**5 + 267*a**4 - 20882*a**2 - 866?\nAnswer: -3752580*a**2 + 6408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 + 65*w**2\/3 + 1136*w\/3 + 4672\/3.\nAnswer: -(w - 146)*(w + 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -17*a**2 - 57*a - 11. Let l be o(-3). Solve -l*r + 51*r + 264 = 0 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 - 0.17. Let u = 0.05 - f. What is the second biggest value in u, -5\/2, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921052395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62449 + 260784. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1317*p*z**2 - 129*z**2 - z + 2 wrt p.\nAnswer: -1317*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -2*i, -3*w - i - 44 = 0. Let h = -11 - w. Suppose -10 = -2*o - 0*o. Solve -2*a + h*a = 4, 17 = -o*t + a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(((sqrt(140) - (-2*sqrt(140) - sqrt(140))) + sqrt(140))\/sqrt(10))\/sqrt(7))**2 + 1 + 3*sqrt(16)\/sqrt(200).\nAnswer: 3*sqrt(2)\/5 + 1251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 163176 and 1234280?\nAnswer: 48136920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**2\/7 - 4632*b\/7 + 2228776\/7 = 0?\nAnswer: 682, 1634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517 = 60*j - 1777. Calculate the lowest common multiple of j and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 4. Let g be 3*1 - (-7 - -4). Let c be b(g). Solve 5*l - 2*k = 5, -c*l - 7*k - 22 = -3*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4 + 3416*u**3 - 125616*u**2 + 1295136*u - 2115072 = 0. What is u?\nAnswer: 2, 18, 816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 52, 276, -13 in descending order.\nAnswer: 276, 52, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 + -204. Let x = 126.87 + o. Round x to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -832, -833, -834, -835?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6422498969?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 153*i + 386. Let u be q(-2). Which is the nearest to 0? (a) 2 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 116*q + 28. Let u be m(40). Suppose 1536 = -27*d + u. Calculate the remainder when 345 is divided by d.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20932489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14150\/9, 6, -0.6 in ascending order.\nAnswer: -0.6, 6, 14150\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 - 12*h + 10. Calculate a(-8).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272 - 263. Sort -4, 1, 3, q in increasing order.\nAnswer: -4, 1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4 - 24*b**3 + 6*b**2 - 17888*b - 16 wrt b?\nAnswer: -24*b**2 - 144*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = 8*t - 202. Put -3\/49, t, 0 in decreasing order.\nAnswer: 0, -3\/49, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -5150?\nAnswer: -1\/2575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 913582 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.1. What is the nearest to s in -1, -2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07686284 rounded to 3 dps?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-1)*((-3)\/100)\/(42\/(-28)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 32?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5930242534673.\nAnswer: -5930242534666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.26 + -0.26. Which is smaller: -30\/23 or d?\nAnswer: -30\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 47248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 3.3. Let p = -128.8 - k. Let l = p - -125.99999887. What is l rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(11\/(-99)*6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 16) in base 8?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(4212))**2*-2.\nAnswer: -33696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/4 - u**2\/4 + u\/4 + 1\/4.\nAnswer: -(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 20. Let a be q(-10). Suppose -2*k - a = -0, -g + k = -13. What is the second derivative of -38*i - 179*i**3 + g*i + 167*i**3 - i**2 wrt i?\nAnswer: -72*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (784\/140)\/(2\/5) - 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9140.30257 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a factor of 36647648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 6 - 8*i + i.\nAnswer: -6*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2057834.\nAnswer: 2, 191, 5387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/192)\/((-105)\/9)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759492389 to the nearest integer?\nAnswer: 27559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1383328604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32639 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 753296 and 8743312.\nAnswer: 8464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 13 + -13 + 11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*r - 1185 + 2975, 3*r = -j + 358. Suppose 15*t - j - 167 = 0. What is the greatest common divisor of 35 and t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -53. Solve -2*s + 2*i = -2, -3*s + 0*i + 5*i + 11 = r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943.1 plus 43?\nAnswer: 1986.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8844435239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*d**6*u - d**3*u - 21*d**2 - 2*d*u wrt d?\nAnswer: 19560*d**3*u - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y - 48842 = -50382 for y.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 11:52 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 104?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15347 + -15303. Solve -b*q - 15*q + 295 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4 and 59\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 3:25 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.028443, 3, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, h: 2, w: 6, i: 8}. What is prob of sequence ttii?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 6204.\nAnswer: 31020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-5)*(-15)\/(-6). What is x in 8*x**3 - 8*x - 4*x**2 + 10*x**4 + 0*x**2 + 0 - b - 4*x**4 = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54360 and 2694746.\nAnswer: 485054280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*c = -1116, -3*i - 5*c + 850 = -10*c. Does 28 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -183.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -694884, -1389759, -2084622, -2779467, -3474288, -4169079, -4863834?\n\"Answer: f**3 - 694882*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 355193479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15271987, 30543974, 45815961?\nAnswer: 61087948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1498591.6999991 - -1498592. Let o = y + -0.3. Round o to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-202 - 77 + 75)*(-48*h + 66*h - 32*h) as k + f*h and give f.\nAnswer: 2856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 50895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17295474, 17295511, 17295562, 17295633, 17295730, 17295859, 17296026, 17296237?\n\"Answer: c**3 + c**2 + 27*c + 17295445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5. Let j be x(4). Suppose 393*a - 396*a + 3 = 0. Put a, -4\/5, 0, j in descending order.\nAnswer: j, a, 0, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f**2 + 25. Let i be m(0). Let t be i + (-6)\/(-2)*-1. Let d be 12\/(-16)*8\/t. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, 0.31, 0.2, -1, -0.07, -3.1?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151 by -1.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5ee + -1570?\nAnswer: -1b6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766 is divided by 872?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27121 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 9) in base 2?\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.2 and 207?\nAnswer: -3974.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 20624\nAnswer: -20626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 16) in base 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, h: 7, y: 2}. What is prob of picking 3 h and 1 a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-2*3\/(-228)). What is the units digit of (t\/6)\/((-8)\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1445590 and 12210.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -384 + 291. Let i = y + 98. Solve 3*t + 25 = -i*x, 3*x - 7*x - 20 = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.819 rounded to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:54 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 15*d**2 + 13*d - 39. Calculate the remainder when 300 is divided by t(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 304, 720, 1298, 2038, 2940, 4004?\nAnswer: 5230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -668168 divided by 5\nAnswer: -668168\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 1 - ((-2)\/(-9) - (-7150)\/(-990))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 3*p - 16. Let x be (12\/10)\/((-4 + -3)\/35). Let i be n(x). Factor -3*l**2 - 4 + i - 4 - 9*l.\nAnswer: -3*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (17 + (2 - -7)) - -64.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -179, -216, -265, -326?\n\"Answer: -6*j**2 - 19*j - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-424)\/(-265) + (-159)\/90. Which is the second biggest value? (a) w (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 63 = 6*p. What is the highest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 206 (c) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -100?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -7. Suppose 4*p - 44 = -4*b, p - m*b = 2*p - 15. What is the lowest common multiple of (p - 1)\/(2\/3) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-96)\/(-36) + ((-3)\/2)\/(-3). Let v = -5\/2 + r. Let -1\/3 + v*j - 1\/3*j**2 = 0. Calculate j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p**2 + 14*p**2 - 32*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 4 + 5)*(3*r + 9 - 9 + (5*r - 4*r - 3*r)*(-2 - 1 + 1) + 3*r - 4*r + 3*r) to the form n*r + l and give n.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 2. Let r(w) be the second derivative of w**6\/720 + w**5\/120 + w**4 - 3*w. Let l(i) be the third derivative of r(i). Give l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 56 = 4*h - 8*h, h - 3*c = -10. Suppose 94 = 4*l + 5*n, 4*l = -l - 2*n + 109. Let m = l + h. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2 - 14*z**2 - 4*z + 15*z**2 + 4*z. Calculate the remainder when 70 is divided by p(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*p + 66 = 3*m, p - 3 = 0. Let f be 6 + (6\/2 - 2). Suppose 2*r = -4*k + 18, 3*k = f + 2. Calculate the greatest common divisor of m and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101111011001011001 + -100?\nAnswer: 110101111011001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-635)\/(-20) - (1 - -3). Suppose 0 = 3*i - 3, 4*g = 3*i + i + 104. Is d smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 418071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145136 is divided by 1209.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -651042 take away 179363?\nAnswer: -830405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -7*l + 155. What is i(22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9255 - -87?\nAnswer: -9168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1669 - -1670. Solve 4*a = 3*a + u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 154, 164, 180, 202, 230, 264, 304?\n\"Answer: 3*t**2 + t + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 2*p**2 + 5*p**3 + 63*p**3.\nAnswer: 68*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h - 43. Let u be c(-11). Let n(t) be the first derivative of t**3\/3 + 9*t**2\/2 - 8*t + 2. Calculate the remainder when 4 is divided by n(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*u + 22, 5*h - 6*u + 3*u + 21 = 0. Let d(j) be the second derivative of -1\/20*j**5 + 3\/2*j**2 - 16*j - 1\/6*j**4 - 1 + 0*j**3. Determine d(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 11123848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 783257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**22)**(-3\/8) assuming s is positive.\nAnswer: s**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {w: 3, d: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6480 - -1483. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*f + 35, 0 = -0*v + 2*v - 5*f - 25. Let s(d) = 21*d - 4. Let j be s(1). Solve -5*x + j = w, -3*w + 1 + v = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a + 7. Let t(l) = -16*l - 13. Determine -14*b(p) - 6*t(p).\nAnswer: -2*p - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 7, -1 in increasing order.\nAnswer: -1, -0.11, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/15*(-60)\/72*-1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.233195 minus 1495?\nAnswer: -1494.766805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1550)\/(-448) + 116*(-690)\/23345.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Suppose 24 = 5*q - 41. Calculate the remainder when q is divided by 17\/m + 6\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9432075, -18864150, -28296225, -37728300?\n\"Answer: -9432075*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Let f be (-3)\/(-3 - (b + -2)). Suppose 5*o + 86 = 4*u, o + 65 = f*u - 3*o. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 15436 = -1020. Let d = j - 568. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**8\/8064 - 17*a**7\/3024 - a**6\/54 + 3*a**4\/8 - 7*a**2 + a. Let v(b) be the second derivative of i(b). Factor v(o).\nAnswer: -5*o*(o + 1)*(o + 16)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 44*u - 2. Let d be j(1). Let m be ((-336)\/16)\/(1\/(-3)). What is the highest common factor of d and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/4*(-167 + 1). Suppose -5*z - 425 = t - 6*t, -v = -5*t + 3*z. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from hihhiiihmhn.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -3\/4 (c) 263.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16537 = -99*l + 1073*l + 23397 for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539 is divided by 293.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 682267?\nAnswer: -682262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Let c = 1 - 6. Let a = k - c. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*k - 2 + 0 - 258*k.\nAnswer: -383*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1266, 1847, -3\/4.\nAnswer: -1266, -3\/4, 1847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2697, 5, 3, 0.\nAnswer: -2697, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**3 - 49*y**2 - 63*y - 17. Let x(b) = -b**3 - 23*b**2 - 31*b - 9. Let l(q) = -6*r(q) + 13*x(q). Solve l(h) = 0 for h.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 365335 and 54211.\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 818.19936 seconds?\nAnswer: 0.2272776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2047838, -2047972, -2048106, -2048240?\n\"Answer: -134*u - 2047704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.021 in -0.4, -648, -16.24?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*n - 180*n + 505*n.\nAnswer: 89*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*w - 71 = 33, 3*c - 3*w = 108. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -36100.\nAnswer: 1\/9025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64085676?\nAnswer: 2, 3, 197, 27109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9305393 years in centuries?\nAnswer: 0.009305393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852228451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2. Let h(y) = 601211*y**2. Determine h(u(g)).\nAnswer: 2404844*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x. Suppose 0 = -3*i - 3*q, -5*q = -i - q + 20. Let v(s) be the third derivative of 0*s**3 + s**2 - 1\/8*s**i + 0*s + 0. What is v(b(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a**2 + 36*a - 23. Let j(y) = y**2 - 6*y. Determine 6*j(l) + m(l).\nAnswer: -4*l**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041*x + 1037*x - 7*f - 62 = 0, -4*f = 2*x + 36 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-30)*95\/(-38)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - -248\/3. Let a = -283 - -283.13. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**5 - 352*q**4 + 8080*q**3 - 14440*q**2 - 8084*q + 14792 = 0. Calculate q.\nAnswer: -1, 1, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 1. Let x be z(1). Let d(s) = s**2 + 18*s + 2. Let i be d(-18). Find the third derivative of -l**2 - l**4 + i*l**2 - 2*l**x wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 54 = 11*b. Let s = -6 + b. Calculate the least common multiple of s and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 48*q**2 - 5*q - 724. Determine x(-48).\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -257*j - 225 + 2*j**2 - 52 + 281 - j**3 in the form q*j + f + b*j**3 + n*j**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4545 (base 9) to base 12.\nAnswer: -1b42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/654 and -139\/6?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (2\/((-42)\/1771))\/((-1)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1))**(-1\/2)*(m**1)**(2\/13) assuming m is positive.\nAnswer: m**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 926.8908 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6892547*d**3 - 7805044*d.\nAnswer: -41355282*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o + 14*o + 6*o)*(249 - 97 + 45)*(-2 + 3 - 3).\nAnswer: -5122*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -258\/2669 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -481 - -481. Let i(t) = -t**2 + 30*t + 402. Let y be i(-10). Determine m, given that 51\/5*m**4 - 27\/5*m**5 + q + 4\/5*m**y + 0*m - 28\/5*m**3 = 0.\nAnswer: 0, 2\/9, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 5 (c) 10 (d) 3\/4 (e) -1\/2 (f) 30 (g) -0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y - 2579 = 38872. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and -54.64?\nAnswer: 54.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*-2*(-1)\/(-5). Solve -p*k + 12 = 0, 2*w + 2*k = w + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -20*l**5 + 44388*l**4 - 17732*l**3 - 44388*l**2 + 17752*l = 0.\nAnswer: -1, 0, 2\/5, 1, 2219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -839.\nAnswer: 11746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(700) + 0 + 1)**2.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j - 305 = 2*t, -9*j - 12*j - 7*t + 2 = -22*j + 21 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -581 by 83.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -491*b + 16776 + 3846 = 0 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/6 - (-1)\/(-3). Solve -m*n + 40 = 5*l, l - n = 3 - 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzwv. Give prob of sequence zvzv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2418 and 347646.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 492 - 492 - 8*f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = a + 14*b - 1452006, 0 = 3*a + 5*b - 4356010. What is a rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 12 = -x. Suppose -x*l = -33 + 29. Let z be (787 - l)*(1 + 199). Round z to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = 0. Suppose 2*v + 7*k - 316 = 3*k, v + 3*k - 156 = a. Suppose -h - 72 = -5*h. What is the highest common factor of v and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26692 - 320357\/12. What is the common denominator of l and -131\/1038?\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19009 by 8592.\nAnswer: 19009\/8592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/7 and -7\/197908.\nAnswer: 1385356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (17 - (5 - -4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5555 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*(-15)\/30.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:17 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*x + 32*x = -375298. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49942199.\nAnswer: 49942199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29659697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 155, 183, 211, 239, 267?\n\"Answer: 28*v + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.7 and 5918?\nAnswer: 57404.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 362370\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -4*r - 33, 218*r = -4*k + 214*r + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*p - 1935 = 230*p. What is the highest common factor of 172 and p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114) + (6*(sqrt(114) - sqrt(114)*2) - sqrt(114))))\/(1*-1*sqrt(294)).\nAnswer: 18*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15027247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9734957 grams to milligrams.\nAnswer: 973.4957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 270 + -192. Let p = -36 + y. Let q(j) = -j**3 - 3*j**2 - 2*j - 3. Let k be q(-4). Calculate the highest common divisor of p and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 27. Let i be d(12). Solve 0*c = 5*c - i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1110 - -9971\/9. Let j = 1087057\/48 - 22646. What is the common denominator of n and j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13474.7567 + -13474. Let t = -9.5387 + q. Let d = -8.7 - t. What is d rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 2*h**2 - 5*h - 5. Let p(y) = -y + 9. Let w be p(6). What is the smallest common multiple of 2 and b(w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 1322?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*(-3)\/(-18))\/((-5)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4, -3*d = -v + 436 - 1251. What is the highest common divisor of d and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2374*s + 17021 + 82687 = 0 for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 7:15 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (21 + 14079\/(-676))\/((-3)\/(-4))\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -122*m + 4949. Let x be d(38). Solve 291*t = x*t + 88 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - w + 8. Suppose 0 = -2*r + j - 3, 3 + 21 = -r - 4*j. Is 28 a factor of z(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.062 or 0.589?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cn when two letters picked without replacement from {n: 1, v: 4, b: 3, e: 1, c: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708 is divided by 228.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685*w + 677*w + 15632 = 0. List the prime factors of w.\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4598 - 2582 = 63*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11722647 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 9:47 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.77, -5, 0.3 in descending order.\nAnswer: 0.3, -2\/15, -0.77, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 27*a**3 + 2*a**2 + 0 + 1\/30*a**5 + 0*a - 3\/2*a**4. What is v in d(v) = 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 15*z - 12. What is i(11)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k**3 - 1\/24*k**4 + 0 + 0*k + 19*k**2. Let p(q) = 2*q**2. Calculate p(i(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/(-6)*261\/(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2 = -4*u. Suppose 5*f - 3*f + 6 = -u*v, -15 = 3*f + 5*v. Solve 0*h - 3*h = f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 27a333?\nAnswer: 27a335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -3. Let z = 51 - y. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100220202 (base 3) in base 12?\nAnswer: -4225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*m - 2*g - 392, -5*m + 5*g + 475 = 0. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 + 3 + y**2 - 10*y**4 - 6 + 13*y**4 as a*y**2 + c*y**3 + i*y + m*y**4 + l and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -23*z + 27*z - y, -120 = -5*z + 5*y. Calculate the remainder when 1024 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3428976 (base 10) to base 11.\nAnswer: 1a32271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 15*d - 79. Suppose 5*n + 0*n - 40 = 0. Calculate the lowest common multiple of d and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -4*d + 5\/6*d**3 - 1\/3*d**4 + 7\/2*d**2 + 0 - 1\/20*d**5. Let v be j(-5). Solve 2*g = v*g + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*v**2 - v**3 + 12*v**2 + 9*v**4 + 4*v**2 in the form x*v**4 + y*v**3 + k + p*v + g*v**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 3.6. Let i = 5.4 + -6. Let m = -0.1 - i. Sort m, 2\/13, t.\nAnswer: t, 2\/13, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -684789.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 1861456.\nAnswer: 19\/1861456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*i + 24 = 270*i. Solve -16*c + 18*c = -i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*h**2 - 4*h**2 - 7*h**2 - 10*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -2*l**3 + 7*l**2\/2 + 838*l. Let x(i) = -6*i + 3. Calculate 2*j(w) - 5*x(w).\nAnswer: 6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -8972\nAnswer: 53832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -76 + 78 + z + 18*z**4 + 0*z as l*z + w*z**4 + t + n*z**2 + y*z**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7263 - 7263 + 11*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1508 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2974 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**3 - 101*w + 1169*w - 11*w**3 + 962*w.\nAnswer: -w**3 + 2030*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2387*j**2 - 2039*j. Let q(x) = -4773*x**2 - 4069*x. Let i(d) = -5*o(d) + 2*q(d). What is the second derivative of i(u) wrt u?\nAnswer: 4778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -924 + 983. What is the smallest common multiple of 10 and p?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -92051, -368229, -828537, -1472975, -2301543?\n\"Answer: -92065*f**2 + 17*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 12 - (3 + 46 + -2 + 2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((-97)\/(-1746))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010000 + -1000101110?\nAnswer: 100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 322 + -324. Which is the smallest value? (a) p (b) -1.1 (c) 1\/3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**3\/6 + 3*a**2 + 2*a. Let p be r(-4). Solve -x - 4*x = -p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/(-88)*(-6)\/15)\/((-1)\/(-92))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + r. Let j(f) = f + 0*f + 2*f**2 - f**2 + 0*f**2. Let i be (-31)\/(-7) - 8\/(-14). Determine i*j(a) - 6*s(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -157, -357, -639, -1003?\n\"Answer: -41*x**2 + 5*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 1878268 + 1878268.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+163923\nAnswer: 163923.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1365 - 1c0?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1101\/2 - -552. Let l(d) be the first derivative of -3 + 0*d + c*d**2. Let v(p) = -5*p. What is v(l(s))?\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/4 + 2*k**3 - 4. Let g be d(-6). Let u = -1786\/5 - -356. Which is the nearest to g? (a) u (b) -3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 57844 - 3*w + 57254)*((-1 + 0 + 0)*(3*w + w - 5*w) + w - w + w - 3*w + 7*w - 2*w) in the form s*w**2 + d*w + t and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 113602369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/2? (a) 2\/3 (b) 1 (c) 675 (d) 24 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**8\/2240 + z**5\/40 - z**4\/8 - 2*z**2. Let m(n) be the second derivative of c(n). What is the derivative of m(q) wrt q?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -29467\nAnswer: -383071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 153584 + -91064. Round i to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 478.5 - 463.5. Sort 42, 2\/15, p in increasing order.\nAnswer: 2\/15, p, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 46636 = 5*z - 5*u, -z + u = -23321. Suppose 2*f - 4996 = -5*c + z, -5*f = -c + 5653. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - (-30 + 9\/(-3)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 1\/7, -4, -1\/3.\nAnswer: -4, -1\/3, 1\/7, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1309*t**4 - 3120*t**3 + 4*t**2 + 150489518 wrt t.\nAnswer: -5236*t**3 - 9360*t**2 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*x**2 + 5 - 2 + 39*x**2)*(-11*x**2 + 22*x**3 + 11*x**2).\nAnswer: 132*x**5 + 66*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (0 - (-4 - -10))) + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.5136*3\nAnswer: 4.5408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 97?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 18 = 4*b + 4*r, 4*r = -5*b + 39. Suppose w = -s, -w + 5 = -4*s - 6*w. Let d = s - -1. What is the remainder when b is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46929*m**2 - 468*m + 16.\nAnswer: 93858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m - 104 = 0. Let k = -36 + m. List the prime factors of 22 - 1 - (-7 - k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*l + 23914*a**2*v - 10*l**4*v - 36*l**2*v - v wrt l?\nAnswer: -2*a**2 - 40*l**3*v - 72*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.1 + 7. Which is the closest to x? (a) 0.5 (b) -0.06 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - (1 + -6))*15\/(-10). Let l(q) = 3830 - 4*q - 3839 + r*q. What is l(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**4\/9 - 1892*s**3\/9 - 8282*s**2\/3 - 84328*s\/9 - 61376\/9 = 0.\nAnswer: -8, -4, -1, 959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -9*r + 25. Suppose t = r*t - 104. List the prime factors of t.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x - 6*x - x + (-3 + 7 + 1)*(-12*x + 5*x + 2*x) + (3 - 3 + x)*(-3 - 1 + 5).\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**2 - 41*y + 25. Give f(-11).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/19)*r*((r\/r**(2\/25))\/r)\/r*r assuming r is positive.\nAnswer: r**(362\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Suppose 6 = -y*u, -u = 5*r - 4*u - 16. Find the third derivative of 18*t**2 - 12*t**r - t**2 - 5*t**6 wrt t.\nAnswer: -600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 807117817 divided by 59.\nAnswer: 13679963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77996.\nAnswer: 2, 17, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*g + 48*g - 191*g + 31*g.\nAnswer: -65*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**6\/45 + 9*j**4\/8 + 3*j**3 - 3*j + 16. Let v(k) be the third derivative of p(k). Find the first derivative of v(t) wrt t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 330103133?\nAnswer: -330103132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -10. Solve n*s + 8 = -0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-9\/2)*(i**(-8)\/i)\/i*i**(-6\/7) assuming i is positive.\nAnswer: i**(-89\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -17*v - 61. Suppose 24*c + 410 = 122. What is the hundreds digit of t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69079 times 2296?\nAnswer: -158605384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)\/(a*a**1))**(-29))**(2\/69) assuming a is positive.\nAnswer: a**(290\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6042 and 278?\nAnswer: 839838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2. Let h(j) = 2*j - 904. What is h(r(v))?\nAnswer: 2*v**2 - 904","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 4 + (1 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1534816 is divided by 8620.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f**4 - 2*f**4 - 2*f**4 - 2 + 0 + f in the form z + v*f**4 + s*f**2 + b*f + d*f**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 13, n: 6}. What is prob of picking 3 n?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*1)**2 + (sqrt(7) - (2 + sqrt(7)))*6.\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6912)*-1*-3)**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*b - 247 + 397 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 2. Let s be d(-2). Suppose 2*r + 3*c - 65 + 13 = s, 5*r - 4*c = 130. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4687 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -23. Suppose -p = 2*l - 7*l. Solve s + 3 + l = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, n: 7, m: 2}. What is prob of picking 2 m and 2 a?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -398.\nAnswer: 7.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(-1 + (-1*(sqrt(1377) + sqrt(1377)*3))**2)*-3.\nAnswer: 66093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvxxf. Give prob of picking 1 x and 1 v.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 123*u**2 + 20*u + 11. Let w(d) = -d**3 + 62*d**2 + 9*d + 5. What is 3*a(l) - 7*w(l)?\nAnswer: l**3 - 65*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28269*n**4 - 795*n + 14149*n**4 + 14123*n**4 + (-n + 6*n - 3*n)*(2*n**3 - n**3 - 2*n**3) to g*n**3 + h*n**2 + y + u*n + b*n**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 542 and 525 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-9)*-3*-3 - 52\/(-4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -105 - (-153 + 20) - (-17 + 2 + 2).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23 - ((11 - -8) + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 200*k + 601. What is the remainder when 2446 is divided by g(-97)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z**3 + 4*z + 2*z + 3*z**3 + 0*z to the form c*z**3 + q*z**2 + k + l*z and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 284*f - f**2 - 89*f + 308*f - 502.\nAnswer: -(f - 502)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135172 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179101*a - 358201*a + 179101*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(624) - sqrt(39))\/(sqrt(3) - sqrt(6)\/(sqrt(2) + 1*sqrt(2))) - -5*(-1 + -1*sqrt(13))*-3)**2*1.\nAnswer: 1110*sqrt(13) + 18022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 - 3*n**2 - 2*n - 3. Calculate the remainder when 50 is divided by z(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000173086 rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 319 - 315. Let o(g) = 15*g + 37. Is o(m) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 428*j + 7059. Let y be 0\/((0 - -2) + -1). Let u(r) = -r**3 + r**2 + r + 5. What is the remainder when u(y) is divided by f(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1*sqrt(30) - sqrt(30)))\/((2*sqrt(110))\/sqrt(11)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 6*w - 3 + 4*w + 3*w. Let l be s(-4). Let c be 231\/12 + l\/(-4). What is the highest common divisor of 95 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243947284.\nAnswer: 2, 7, 1244629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -a - 212. What is the greatest common factor of a and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m. Let h(r) = -3*r + 10. Let i(y) = 2*a(y) - h(y). Let g = 65 + -55. Let o be i(g). Which is bigger: 1\/47 or o?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 10:15 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 174.2? (a) 3 (b) 2\/7 (c) -1 (d) -1\/4 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*z**3 - 449 + 230 - z**3 + 5*z**3 + 219.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 3*m**4\/5 + 3*m**3\/5 - 3*m**2\/10 - 202. Factor a(x).\nAnswer: 3*x*(x + 1)*(4*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2013, -2014, -2015, -2016, -2017, -2018?\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.04 - -0.02.\nAnswer: -8.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107498088 to the nearest integer?\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 5*g + 51. What is the remainder when 31 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 15*l + 4. What is z(14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, 257, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*c = 4*c + 10, -c - 13 = -4*h. Suppose h*p - 4 = p. Find the second derivative of -b**4 + 2*b**2 - b - p*b**2 wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + -3. Let w = -29 - -9. Let z be (-1)\/2 + w\/c. Solve -o = z*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/9)\/(x*x**7*x))**(6\/7)*(x**(2\/3)*x\/(x\/(x**(12\/5)\/x)))**21 assuming x is positive.\nAnswer: x**(3767\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 192*n + 35 - 21 - 202*n + 31*n to i + z*n and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 14*x**3 + 19*x**2 - 23*x - 8. Let p be a(7). Suppose 2*q - 3*k + 56152 = p, -k + 126496 = -5*q. What is q rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l - 2. Let g = 1 + 1. Suppose 0*v - 4 = -g*v. Give z(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 8:40 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 less than -89953\/2051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 12*o**2 + 2*o - 10. Let v = 13 + -5. Suppose 3*q - 6*c + c + 38 = 0, q = -3*c - v. What is the remainder when x(q) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -1. Let u(w) = -6*w + 2. Let x(y) = -3*m(y) - u(y). Give x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmppfdmdfdd. What is prob of picking 2 d and 1 p?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/15 + a**4\/12 - a**3\/2 - 48*a**2. Let t be p(2). Let v be t\/3 + -2119993 - 2. What is v rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.842 plus 0.4?\nAnswer: -10.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = 5 - 38. Suppose -5*j + 16 + 2 = x, v = 5*x - 4*j. Suppose 10\/7*n**x + 2*n**4 - 10\/7*n + 4\/7 - 18\/7*n**2 = 0. What is n?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -1.1. Let p = 0.03 - 3.03. What is the third biggest value in p, v, 2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 0 + 4*d**3 - 1837*d**2 - 13*d**3 + 3*d**3 + 2.\nAnswer: -3*d**3 - 1837*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o*s**2 + 16*o*s + 291886*o - 2*s**2 + 25*s wrt s?\nAnswer: -6*o*s + 16*o - 4*s + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -0.1 (c) 5\/4 (d) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o - 4*k - 5, -4*o - 5*k = 7. Let v(n) be the first derivative of -3*n**2\/2 - 4*n + 1. What is v(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143 + 12203?\nAnswer: 12040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1562 divided by 3538.\nAnswer: -781\/1769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**5\/13 - 4954*r**4\/13 - 1084782*r**3\/13 + 2454934194*r**2\/13 - 492753356208*r\/13 + 490299511752\/13 = 0.\nAnswer: -1557, 1, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 7*q + 1. Let s be u(5). Let f = 25 + s. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-4))\/(1 + 0 + -2). Suppose -2*o = -3*y - i*y - 9, 3*o + 4*y = -29. What is the closest to 2\/5 in -5, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -431411 = -5*b - 18*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877107 is divided by 338.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10496 by 6.\nAnswer: -5248\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 1343 = -1358, 9*i + 45 = 15*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4348*j + 1816*j - 2111 = -205523 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 23 = 3. Let c(x) = x - 3. Let a be c(g). Factor a - u**2 + 4*u - 5*u**2 + 5*u**2 + 3*u**2.\nAnswer: 2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2622 and 76.\nAnswer: 5244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -26. Calculate the remainder when (-3 + 2)*-3 - s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3237118 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -378 divided by -54?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -129? (a) -0.02 (b) -0.03 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 1:12 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -376 + 380. Suppose x*r - 3398 = -5*k, -k + 353 = -5*r - 344. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -85649*b**3 - 6*b**2 - 4*b + 8. Let m be a(-6). Round m to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 18202?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -4 (c) 0 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 382 - 191 + 41*z**2.\nAnswer: 41*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 98?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 17. Suppose -4*x - 5 = -3*x. Let t be h(x). Solve 10 = -4*l + 4*i - 6, t*i = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/((-1)\/2). Let f be (-7)\/((-140)\/(-8))*-5. Let d = 1 + 2. Put f, d, l in decreasing order.\nAnswer: d, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.06 + -0.24. Suppose -6*s = -3*s - 15. Which is the second biggest value? (a) f (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*c**2 + 38\/5*c + 0.\nAnswer: c*(c + 38)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 976.91 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4609, 9218, 13827?\nAnswer: 18436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -296?\nAnswer: -29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((-196)\/(-252)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 109 + 5?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 21*y - 161. Let h be n(9). Which is the biggest value? (a) -2\/5 (b) 0.2 (c) -2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450 divided by -75.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -27, 13\/14, 4?\nAnswer: 13\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/(-78) - 1083\/(-18). What is the highest common divisor of h and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -o + 10, 0*u - 4*u + o = -11. Suppose -5*a - d + 752 = 0, -u = -2*d + 1. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79697 or -79693?\nAnswer: -79693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**2\/2 + 5*n + 4. Let x be s(0). Suppose -3*f = -4*o - 2*f + 272, -5*f = -x*o + 325. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b + 4. Let c(s) = s**2 + 21*s - 46. Let i be c(-23). Let q be y(i). Find the second derivative of -11*o - q*o + 15*o**2 + 14*o - 5*o wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 6. Let f(a) = a. Let u(c) = 2*c. Let x(w) = v*u(w) + 2*f(w). Let t be x(-3). Solve -t*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 15) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.017 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/5*t**2 - 57\/5*t - 1\/5*t**3 - 18.\nAnswer: -(t - 30)*(t - 3)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 2*g + 68 = 10*g - 5*c, 14*c + 44 = -g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 55111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66250429*y + 58424908 wrt y.\nAnswer: -66250429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (36\/36)\/(5\/4)*150\/36\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*i + 284 = 8*i, -1170 = -4*b - 3*i. Let y(t) = -294 + b + 65*t**2 - 21*t**2. Let x(z) = 2*z. Calculate y(x(n)).\nAnswer: 176*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-1672)\/275 + 6)*-5)\/2)\/((-3)\/645)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60494)\/(-99234) - 40\/72.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10043.26 + 10043. Which is greater: 114 or a?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0872 * 1.7\nAnswer: -0.14824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 19*b**2 - 340*b + 5824. Calculate s(16).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2150422 is divided by 119467.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5 + 250*z**4 - 3718*z**3 - 2174*z**2 + 3722*z + 1924 = 0. Calculate z.\nAnswer: -1, -1\/2, 1, 26, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (699\/(-14679))\/(2\/48).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.37 - 0.67. Let r = 0.01 + 0.39. Which is the nearest to 0? (a) r (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.03 * -2.302.\nAnswer: 18.48506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002896510064 to six decimal places.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 31196 times -4.5\nAnswer: -140382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 4*h = -c - 41, -4*h - 31 = 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2396 = -45*a + 439. Suppose 5*w = -3*y + 1647, 0 = -3*y - 4*w + 1710 - a. Is y a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237656*n**6 - 199*n**2 + 21*n - 3.\nAnswer: 28518720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/266 and -5\/441.\nAnswer: 16758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -544, -1994, -4350, -7612, -11780, -16854?\nAnswer: -22834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -448984 times -1.9?\nAnswer: 853069.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.021 in 0.3, -2, -13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 10*z**3 - z**2. Let w be f(-1). Let t = w - -16. Calculate the highest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953941829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 127*l**2 - 370*l - 168.\nAnswer: (l - 3)*(l + 28)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**4 - 3*o**2 + 3*o**2 + (2*o - 10*o - 7*o)*(0*o**3 + o**3 - 2*o**3) in the form r*o**3 + k*o + p*o**4 + y*o**2 + l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -10. Let h(r) = r**2 - 4*r - 1. Let j be h(5). Let g(o) = -o**3 + 5*o**2 - 3*o - 3. Calculate the least common multiple of g(j) and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 63?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-5)\/(-11)*27456\/3120.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 3*t**2 - 2*t. Let z be i(2). Let a = z - -3. Let b = -40 - -43. What is the greatest common divisor of b and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = t + 1. Let d be (t - -7)*2\/4. Let w be 1 - (2 + 130\/d). What is w rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 24*r + 122. Calculate z(-11).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2\/(-4) - (-45)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(125) + 1 - -1*(sqrt(180) + 2))**2.\nAnswer: 88*sqrt(5) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.53132 + 0.01332. Round k to two decimal places.\nAnswer: -10.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 37236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - n**3 - 3*n**2 + (0*n - n - n)*(0*n**2 + 2*n**2 + n**2).\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(14 + (-1012)\/69)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((4\/6)\/(24\/9)). Let b be (4\/12)\/(v\/201). Let s be -17 - 0\/(-1 - -2). Which is bigger: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-3) + (-53 - 25)\/13. Let k = 1.5 + -1.5. Which is the nearest to 1? (a) -4\/5 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 9, -58, -125?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/120 - z**5\/20 + z**4\/24 - 4*z**2. Let n be (1\/(-2))\/(2\/16). Is 12 a factor of v(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 121. Let f = -100 - a. Let u = 1 - 0. What is the second biggest value in u, -2\/13, f, -14?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*b - 53 + 13. Solve c + 18 = 5*w, 18 = -b*c + 5*w - w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 39*m + 68. Let s be q(-38). Suppose 2*o + o - 19 = -5*i, -2*o = -i - s. Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 4 + 16 - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124517 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -12*j - 4 - 5 + 12*j**2 + 2*j - 13*j**2. Let t be l(-9). What is the second derivative of 12*f - 33*f + t*f**2 + 4*f**2 wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 36338*u - 36336*u + 12, -3*m - 4 = 2*u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y + 139*y + 28 = 58*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -75, -21*x = -19*x - 5*q + 71 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -27*n**2 - 61*n - 247. What is y(-5)?\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11)\/v*v*v\/(v*v\/(v**(-8)*v)))\/(v**(-3\/14)\/(v*v\/v**(-2))))**44 assuming v is positive.\nAnswer: v**(-1110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5736 - -15.346.\nAnswer: 5751.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1996 = 537*w + 1498 - 449 - 360 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000902641 to seven dps.\nAnswer: -0.0000903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43332981, 43332973, 43332961, 43332945, 43332925, 43332901?\nAnswer: 43332873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.62553 + -7.34986. Let j = -17.01 - z. Let c = j + 0.034. Round c to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4242 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181*l**2 + 835*l**4 - 412*l**4 + 2*l**3 + 70*l**2 - 409*l**4 to the form f*l**4 + k*l**3 + r*l**2 + u + o*l and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1079, 2257, 3435, 4613, 5791, 6969?\n\"Answer: 1178*n - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4963?\nAnswer: 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 38*s**2 - 286*s - 12. Calculate v(-10).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*q = 0. Suppose 5*l - 15 = 2*v, -2*l + 2*v - 3*v + 6 = q. Let x be 11 - (9\/l)\/3. Is 9 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-4)*(-2)\/(-3). Let n be (-1*1)\/(-6 + m). Let j(b) = 11*b**2 + b - 1. What are the prime factors of j(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 93*a - 90*a + 184*a - 5 - 460*a**2 to the form n + l*a + t*a**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-406)\/(-49) - 4) + (-4)\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -41*q**2 + 16*q**2 + 12*q**2 - 4 + 6*q**3 + 17*q**2. Let l(m) = 19*m**3 + 11*m**2 - 11. Give 11*i(w) - 4*l(w).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z**4 - z**3 - 36*z**4 - 2*z + 2 - 5*z**2 + 18*z**4 + 12*z**4 in the form s*z**3 + m*z + b*z**2 + d + u*z**4 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13)*2 - (sqrt(13) + 2 + 1))*1 + ((-3*(2*sqrt(130) - sqrt(130)))\/(sqrt(120)\/sqrt(48) + sqrt(10)))**2.\nAnswer: sqrt(13) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**22\/((a*a**30*a)\/a))\/(a**(5\/3)*a**17\/a))**47 assuming a is positive.\nAnswer: a**(-3760\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/92 and 56\/(-10752)*-3*1?\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 10605.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5 - 868*y**4 - 27192*y**3 - 297756*y**2 - 1348650*y - 2029536 = 0. Calculate y.\nAnswer: -9, -3, 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2309 + 2334 = -5*v - 3*r, -2*v - r - 10 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20, -13, 4, 3, -91, -3 in decreasing order.\nAnswer: 4, 3, 2, -3, -13, -20, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4340*k**2 - 5196*k**2 + 10880*k**2 to r + o*k + h*k**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 1. Let v be j(-2). Let d be -2*(-2 - -1)\/v. Suppose 18 = -2*r - 4*q, 3*q + 3 = 5*r + q. Which is smaller: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -3. Let h be r\/(-6) - 22\/(-33) - -104. Let d = 189 - h. 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: -10210104 (base 5) to base 6\nAnswer: -1453353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -412 + 424. Calculate the smallest common multiple of s and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53240 is divided by 300.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 145568218 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = 9*q - 1019. Suppose 4*u - 338 = -q. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 + 7 + 1 - 3*s.\nAnswer: -3*s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 9*j - 7. What is r(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 466331 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222222201 - 2121102?\nAnswer: 1220101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*k + 5*f + 186 = -1125, 369 = -15*k - 15*k + 40*k - 3*f for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 10*q**2 - 13*q + 12. What is r(11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.235 less than 1.869505?\nAnswer: 26.104505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1970749, 1970825, 1970937, 1971103, 1971341, 1971669, 1972105?\n\"Answer: 3*z**3 + 55*z + 1970691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*o = -1, -1 - 5 = 2*o. Let s(l) = -2*l + 14. Let m be s(a). Suppose 10*g - 6*g + 72 = m. What is the common denominator of g and 63\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 3*u + 1. Let d be k(2). Let s be (-14)\/(-49) + 124\/d. Calculate the highest common divisor of 2 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -75674 - 103228. Let u = -11937 + h. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 7 + 3 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Suppose 0 = z*u + 2*u - 84. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 - 78. Suppose 0 = -36*k + 35*k + q. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**11)**13*(x*x*x*x**(-25))\/(x*x**(2\/45)) assuming x is positive.\nAnswer: x**(-6887\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.02 (c) 52 (d) -4 (e) -31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*2*sqrt(539) + (sqrt(110)*2*4 + sqrt(110))\/(sqrt(250) - 2*sqrt(250)).\nAnswer: -1059*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -36*i**2. Let l(b) be the third derivative of -67*b**2 + 0*b + 0 + 0*b**3 - 1\/6*b**4. Determine l(y(c)).\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 0 - 10*d + 0*d**3 - 13\/20*d**5 + 0*d**4 + 4*d**2. Differentiate u(m) wrt m.\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016 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: List the prime factors of 19706595.\nAnswer: 3, 5, 229, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 512 + 3*i - 7*i + i - 523. Let f(v) = -13*v. Give z(f(g)).\nAnswer: 39*g - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 218d (base 15) in base 12?\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 1171256.\nAnswer: 24596376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111911 plus 483878?\nAnswer: 595789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 + v**2 + 0*v**2)*(-v + 2*v - 3*v) + (-2 + 2 + v**2)*(-4*v + 0*v + 3*v) to h*v**2 + f*v**3 + i + j*v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - s - 2*s + 0*s**2)*(18 - 6*s**2 - 18).\nAnswer: -6*s**4 + 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*p + 383*p - 352 = 0 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -502 and -1?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1867.78133045 + -0.2.\nAnswer: -1867.98133045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -24. Which is smaller: 12 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**2 + 2*v + 80. Let s(c) = -c**2 - c + 4. Let l(u) = i(u) - 5*s(u). Factor l(h).\nAnswer: -(h - 12)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**3\/4 + 1551*s**2\/8 + 2757*s\/4 - 393 = 0.\nAnswer: -4, 1\/2, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 18*a**2 - 17*a + 1. Let n be p(17). Which is smaller: n or -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, b: 1, g: 1, r: 1}. What is prob of picking 1 g and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.2 - -106.8. Let a = 52 - n. Let k = a - -57.000043. What is k rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/4)*l*l\/(l*l**(-33\/5)) assuming l is positive.\nAnswer: l**(127\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55698 is divided by 55690.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i - 12. Let q be 2 + 284\/(-92) - 6\/(-69). Let y(t) = -t. Suppose 8 = x + x. Let c(o) = q*d(o) + x*y(o). Calculate c(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -11*u**5\/5 - u**4\/4 + 21*u**2\/2 - 69. Find the second derivative of x(l) wrt l.\nAnswer: -132*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 4. Let y = -28 + 32. Suppose -a + 3 = y*j, -3*a - 4*j - j = -16. Let l(w) = 1 + 5*w - w - a*w + 4*w. Calculate -f(s) - 4*l(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5500815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, o: 1, z: 1, r: 2}. What is prob of picking 1 o, 2 r, and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(3*y**2 - 2*y**2 + 0*y**2) + (2*y + y - 5*y)*(6*y - 2*y - 3*y) - 14*y**2 - 24*y**2 - 13*y**2 + (6*y + 7 - 7)*(-3*y + 3*y + 2*y).\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3784)\/4257*(-2)\/(-24)*1?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*n + 39 = 0. Let t = 11 + n. Find the common denominator of t\/(-6)*855\/10 and 39\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 13 + 372*m - 184*m - 186*m. Let r(o) = -o - 9. Calculate -5*n(y) - 7*r(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8853 and 62277.\nAnswer: 53424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, n: 9}. Give prob of sequence vvvn.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + d + 41, -b = -2*d - 975 + 983 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.59 - 5.89. What is the smallest value in 4, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3083638477 to the nearest integer?\nAnswer: 55531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 593 or 591?\nAnswer: 591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 7*b. Let f(n) = 3*n - 13. Let r(w) = 2 - 4 + w - 4. Let m(i) = 3*f(i) - 7*r(i). Let u(v) = v + 2. Let j(l) = -2*m(l) + 3*u(l). Calculate j(g(h)).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 13\/8 (c) -7\/5 (d) 2\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + -2 - (sqrt(76) + sqrt(19))*3.\nAnswer: -4*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27713 - 13853 - 1418*q**5 - 13860 + 3625*q**2 - 2199*q**5 wrt q.\nAnswer: -217020*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2119509 or 2119686?\nAnswer: 2119509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 8125530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 + -2.8. Suppose -5*v + 3*a = 2*a + 13, 0 = -5*v + 3*a - 9. Put y, 7\/4, v in increasing order.\nAnswer: v, y, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262 = -10*w + 232 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -16. Let l = 10 + h. Let k(u) = 3*u + 6 + l*u**2 - 13*u**2 - u**3 + 5*u**2. Calculate k(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 3*x**2 - x + 2. Let t be u(-3). Let a = -7 + t. Is ((-184)\/(-12))\/(a\/(-15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-24) + (-2)\/(-12). Suppose 0 = d*h - 15 + 5. Suppose h*l - 3*l - 10 = 0. Calculate the highest common divisor of 55 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + f + 1 - 1)*(22*f**3 - 21*f + 21*f).\nAnswer: -22*f**5 + 22*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -123\/14?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 2*p - 3. Let j be k(2). Let v = -15 + j. Solve 2*f - 6 - v = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 0)*(4 + -2). Let j = 2 + h. Suppose a + 10 = b, -2*b + 7*b = j*a + 45. Let n(f) = -f**2 + 7*f - 6. Determine n(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4745 or -3103?\nAnswer: -4745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(3857\/2755)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -400 - -406. Solve 10 = 4*f + w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (26 + 325\/(-25))*3*-1 + 4. Are f and -20 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*c + 7, -5*k - 5*c = 15. Let i = -386 + 389. Let f(s) = 3*s - 2*s**k + s**2 - i*s. Let v(b) = b. What is f(v(l))?\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-18))\/(-4))\/((920\/207)\/(-40)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 75418.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 45, 2, 5 in ascending order.\nAnswer: -3, 2, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k = 219. Let w = k + 35. Let z = -31 - w. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*(3 - (3 - 2)). Put -1\/8, 425, c in ascending order.\nAnswer: c, -1\/8, 425","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 - 132. Let h be (6\/k)\/(10\/((-1280)\/(-12))). Solve 5*c + h = 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/360*(-36)\/33\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*g - 7608, -2*k - 9728 = -4*g - 3640. Suppose -g = 8*u - 257452. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85658.1 litres to millilitres.\nAnswer: 85658100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 7*c = 2*u, 5*u = -2*c - 1. Let d be 0\/u + (-22 - -8)\/(-7). Suppose -4*x + b + 314 = 0, 5*x + 7*b - d*b = 380. What are the prime factors of x?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.13 and 8144\/341 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 12*z**2 - 17*z + 3. Let o(k) = -103*k**2 - 30 + 164*k + 7*k - 17*k**2. Suppose 16*r - 20*r - 8 = 0. Let s(p) = r*o(p) - 21*j(p). Factor s(w).\nAnswer: -3*(w - 1)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -r + 0*r**4 + 1\/30*r**5 + 1\/2*r**3 + r**2 + 0. Let z(l) be the first derivative of j(l). Differentiate z(w) wrt w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3370*q**2. Let p(t) = -127*t**2. Give p(n(l)).\nAnswer: -1442326300*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 + 0*b - 7*b**3 + 3*b - 5*b**2 - 4*b. Calculate s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 4*w = 4*r - 14, 0 = -r + 2*w - 1. Let j = 1.1 + -1.6. What is the third biggest value in j, 3, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0322985 rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(68) + sqrt(68) + 1 + sqrt(68))**2 + 1 + 2)*5.\nAnswer: 60*sqrt(17) + 3065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = -q + 13, -2*q + 5*m + 55 = -55 + 113 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 419 or 493?\nAnswer: 493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5210507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15530546 - 12?\nAnswer: 15530534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*v = 3*v + 48, 2*q - 3*v = 26. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9093 - 9093 + 10*u**3.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1489344239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 28 = 26*c - 25*c, 8*c + 2*y + 54 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from nnypn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-107)\/(-8) + ((-41)\/152 - (-50)\/(-475)). Solve -2*u = 4*f, -3*u - 7 - v = -4*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2466436 is divided by 6666.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 5. Let f be o(-3). Let s(y) = -1 - 2 - 12*y + f. Is s(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 909?\nAnswer: 9999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 8*t - 3. Let l be n(8). What is the greatest common divisor of 27 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {e: 1, n: 3, m: 1, w: 2, k: 2, g: 6}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*q - 68374 = 136*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*q + 12 - 4, 4*q = -2*f + 24. Let i = q + -4. Solve 2*v - 3*j - 9 = i, 0 = -5*v + j - 0 + 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2*j - 6, 6*u = -2*j + 7*u - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 8*n**2 + 10*n - 4. Let u be o(9). What is the highest common factor of u and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 3*p**2 - 13. Let b be l(-4). Suppose -2*y + 44 + 91 = i, b*y = 4*i - 562. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 + 236*f + 2217. Determine l(-12).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163072?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 7*h**2 - 4*h + 12. Let d be 30\/4*8\/(-10). Let k be y(d). Let m = k - -16. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 527*r**2*s - 4*r*s - 18*s wrt r.\nAnswer: 1054*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in three fifths of a millennium?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**5\/60 - l**4\/24 - 7*l**3\/6 + 6*l**2. Does 4 divide i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 14*d = -160 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.3 + -1.3. Let d = -821 - -820.6. Which is the third biggest value? (a) j (b) d (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 10*u**2 - 1. Let z be a(-10). Let w be 10\/(z\/(-5)*1). What is the units digit of w\/6 + 2\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 11:46 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2825*t + 2847*t + 28 + 41)*(-4 + 1 + 1 + 4) as a*t + b and give b.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 1. Suppose 104 = 13*r - 11*r. Let t(j) = -28*j - 25*j + r*j. Calculate -f(h) - 6*t(h).\nAnswer: 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1. Let s(j) = -j - 16. Let p = 2825 - 2820. Calculate p*x(u) + s(u).\nAnswer: -u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -57051606 - 1?\nAnswer: -57051607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 18 in decreasing order.\nAnswer: 18, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 5*a**2 + 6*a + 10. Let v be t(-4). Solve -4*z = -3*z - v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 10 + -16 + (26 - 12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**4 - 82*h**3 - 389*h**2 - 308*h = 0.\nAnswer: -77, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3215211974 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: Solve -28806 = 488*m - 58105 - 38045 for m.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.00297 and -0.5?\nAnswer: 0.49703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6*p + 11 = -2*b, -3*b + 6 = -3*p. Let a be b\/2*(-5 - 12590\/(-2520)). Are a and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17 and -0.0466.\nAnswer: 16.9534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1539) - (1 + sqrt(1539))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 10382*b + 1228378. Calculate u(-117).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - 3*z**5 + 2*z**5 + 0*z**5 + (4*z**3 - 3*z**3 - 3*z**3)*(0 + 0 + z**2).\nAnswer: -3*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, -3, -0.11, 0.3, 27, 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029) + (sqrt(1029) - -1*sqrt(1029))*-5 - sqrt(1029))\/((sqrt(675)*-2 - sqrt(27))\/sqrt(9)).\nAnswer: 70*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence immm when four letters picked without replacement from {m: 6, i: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.8 + 4.6. Let h be (1\/(-3))\/(3\/(-45)). Suppose -h*r + 4*r = -2*x - 6, -4*r - x + 6 = 0. Which is the closest to -1? (a) p (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21814?\nAnswer: 2, 13, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10) - (306\/60 - 6). Let i(m) be the first derivative of m + 2 - 17\/8*m**4 - 11\/4*m**2 + 7\/2*m**3 + v*m**5. Solve i(u) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150334150 and 2874.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 77644 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 121\/5, -8, 4\/7, 1\/4 in ascending order.\nAnswer: -8, 1\/4, 1\/3, 4\/7, 121\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -637*q**2 + 1167. Let b(x) = -x**2. Give g(b(w)).\nAnswer: 1274*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13768156, 27536315, 41304474, 55072633, 68840792?\nAnswer: 82608951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/108 + 3 + (-4)\/18.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 23536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 10:48 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3949973*y**2 + 4*y + 3958178*y**2 - 4*y to p + i*y**2 + g*y and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1299761, 5, -3\/2, -5, 0.4 in ascending order.\nAnswer: -1299761, -5, -3\/2, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**4\/6 + 33*y**2\/2 + 3*y - 55. Let p(j) = 4*j**2. Determine z(p(q)).\nAnswer: 32*q**4 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (4 + (-5 - 5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*w = -12, -24 = 4*r - 3*w - w. Let k be r*(2 - (-651)\/(-6)). Suppose 4*s - 63 = k. Calculate the remainder when s is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 0.1861?\nAnswer: -3.1637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from otlztdvlvllz. Give prob of sequence lo.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2825427*a**5 + 6481028*a.\nAnswer: 56508540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5 - 3.3. Let q = w - -1.1. Which is smaller: 2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -25. Let g = 118 - d. What is the remainder when g is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 12*d**2 - 8*d + 7. Let p be 15\/(-5) - -5 - (0 + -1). Suppose y - p = 0, 3*z + 2*y + 16 = z. Determine a(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssa when three letters picked without replacement from aaaaasaaaasaa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 304654\/(-12558) + 24 + 9\/39?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000228746893 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(48))**2 - (sqrt(3) + (sqrt(12)*-3 - sqrt(12))**2)) + sqrt(6)\/(1*sqrt(162))*4)*-3.\nAnswer: -67*sqrt(3)\/3 + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -168, -169, -170, -171, -172?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122313024313 + -10?\nAnswer: -122313024323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/5843980 and -89\/30?\nAnswer: 17531940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6 take away 0.0632772?\nAnswer: 5.5367228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3985*o + 13629*o - 4601*o in the form g*o + b and give g.\nAnswer: 13013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a + 38. Let y be a\/(-4) - (-3)\/(-4). Find the third derivative of z**2 - 10*z**4 - 5*z**4 + 2*z**y wrt z.\nAnswer: -312*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 150258 - -1?\nAnswer: 150260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000101 - -101100010111101?\nAnswer: 101101000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 7*o + 5. Let q be u(-5). Let f = 5.7368 + -6.0068. Which is the smallest value? (a) f (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 15395\nAnswer: 1\/15395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/32)\/(4\/8). Let k(q) be the first derivative of 4 + 0*q + h*q**2. Let g(f) = -f**2. What is g(k(t))?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-7))\/(2\/14). Calculate the highest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309758 is divided by 154856?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*r + 30, 2 - 5 = 3*d. Suppose k - n = -0*k - 25, 4 = 2*n. Let o = r - k. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1189097 and -2585.681?\nAnswer: 1191682.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(260) - 2*sqrt(260)))\/sqrt(10))\/(2*(sqrt(108)\/sqrt(6))\/sqrt(9)).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -80 + 58 + -1 + (-5 - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326549 is divided by 46581?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 5:19 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3902*p**4 + 10*p**3 + p**2 - 7*p - 1431.\nAnswer: -93648*p + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -2188 - 566. Suppose 3*q + 3*f - 468 = 0, -3*f = -2*q + f + d. Does 31 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7 = -2. Suppose 2*t = -3*s + 12, s - r*t + 9 = 4*s. Suppose s + 13 = 4*f - y, -f + 1 = -4*y. Solve 3*h - 2*a = -16, -3*h + 24 = 5*a + f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 15. Let o be 4 + g + 1 + -2. Does 4 divide (-7)\/(-2)*24\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*a = 18, -4*y + 5*a + 0 = -72. Calculate the highest common factor of y and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -5 (c) 5 (d) 9 (e) 484\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t + 6. Let f = 1 + 6. Let h be ((-1)\/(-2))\/(2 + 265\/(-130)). Let x = f + h. Let i(u) = -8*u - 5. What is x*i(w) - 5*a(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17013 is divided by 227.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2277\/(-1480) - (-5 + (-4 - 165\/(-22))) and 47\/888.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16e4 (base 15) in base 6?\nAnswer: 34511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**6\/20 - 27*p**5\/40 - 15*p**4\/8 - 7*p**3\/4 + 3*p + 18. Determine o, given that b(o) = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 222848 and 3624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9*f**2 - 756*f - 787. Give d(-84).\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 580*b. Let q(n) = 67*n + 1033. What is a(q(o))?\nAnswer: 38860*o + 599140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 8*v - 2361*v**2 + 2365*v**2 + (-2 - v - 29*v + 0)*(-3 + 3 + v).\nAnswer: -26*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 411 + -360. Find the third derivative of 18*o**3 - 16*o**3 + 2*o**2 + 39*o + t*o**5 + 64*o**5 wrt o.\nAnswer: 6900*o**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38564.\nAnswer: 2, 31, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46416706 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268100741?\nAnswer: 31, 278981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296) - 1*sqrt(1296) - sqrt(1296))\/sqrt(2)*-4)\/(sqrt(6)*-4*2 + sqrt(6) - sqrt(150)*-6).\nAnswer: 24*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-522)\/34 - 2190\/(-6205)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72\/11 in -0.6, -4, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239684690 divided by 6.\nAnswer: 119842345\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*k - 3*b + 2, -4*k + 17 = 3*b. Suppose 4*p - k = -p. Is (47 - p)*10\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*a + 2*q, 0*q = 3*q. Let h(o) = 3*o**2 + 8. Let p(s) = -17*s**2 + 8*s - 52. Let v(d) = -6*h(d) - p(d). Calculate v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7431 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -432226000 rounded to the nearest 1000000?\nAnswer: -432000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110662265.\nAnswer: 5, 7, 17, 185987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 29, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 at least as big as 189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 22.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(-8\/5)))**(-1\/7) assuming d is positive.\nAnswer: d**(-3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 5. Let m be r(3). Let p = m - 3. Let x = 0.5 - 0.9. Which is the third smallest value? (a) x (b) 3\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 187*n - 1299. Let x be f(-7). Calculate the highest common factor of 48 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 138786797 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.9 - 4. Is m bigger than -1\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, g: 4, f: 7}. Give prob of picking 1 g and 1 p.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23526.75 millennia in months?\nAnswer: 282321000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1573620 (base 9) to base 6\nAnswer: 30432200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 + -1.02. Let l = -6.4 - -2.9. Is o not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*g**2 + 23*g + 856 wrt g.\nAnswer: -12*g + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(16\/5)*q**(3\/10)\/q**(5\/2) assuming q is positive.\nAnswer: q**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - c)*(8*c**4 + 14*c**4 + 0*c**4) - 4*c**5 + 5*c**5 + 0*c**5 - 3*c**4 - 2*c**3.\nAnswer: 23*c**5 - 3*c**4 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -6\/1459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.062 + -0.072. Let g = c + -2.113. Let l = g - -0.13. Round l to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12)*y)**(-9)\/(y\/y**(-25)*y*((y\/y**(-1\/17))\/y)\/y) assuming y is positive.\nAnswer: y**(1240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6534 and 9827378.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.038 times 25439\nAnswer: 966.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371*r - 373*r + 1756 = 0. Is 27 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 79 (b) -5 (c) -0.3 (d) 15\/2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/7*g**3 + 0*g + 6\/7*g**2.\nAnswer: 3*g**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2\/17, -2607 in increasing order.\nAnswer: -2607, -2\/17, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 137*z + 194*z - 4674713. Is 29 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131565 by -26313.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-18)\/(-32)*4*(1580 - -16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 267, 2\/5?\nAnswer: 267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 + 2 + 2)) + -11 + 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/1*81\/72*8\/(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 divided by 378?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13391063, -26782115, -40173167?\n\"Answer: -13391052*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f - 21*f = 392. Calculate the greatest common divisor of f and 1134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 701\nAnswer: -5\/701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3ab789 (base 15) to base 9\nAnswer: -5272633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, b: 10, g: 3, l: 1}. Give prob of picking 2 w, 1 g, and 1 b.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8, 2\/13, -0.02, 21, -1\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8382507?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -628 - -641.7. Let a = m - 14.2. What is the nearest to 1\/8 in a, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(357)*1 - sqrt(357))\/sqrt(7))\/(3*sqrt(108)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/110)\/((-21)\/(-35))*2\/7?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 0*z**3 + 47\/6*z**4 + 0*z**5 - 33\/14*z**7 + 102*z + 0*z**2 + 0*z**6 + 0. Find the third derivative of l(u) wrt u.\nAnswer: -5940*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (217\/434)\/((-1)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 53*c + 26. Let i be r(26). Solve 0 = 2*u - 5*v + 4, -4*u - 4*v = -i*v + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 0.4, 0.5 in ascending order.\nAnswer: -1\/9, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/15 + (-10)\/(-15). Let g = -5 + 4. Let v = g + -4. What is the nearest to -1 in -2, v, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1177754258?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376885 is divided by 34065?\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573)*1*-1 + -6*sqrt(1573)*1 - ((sqrt(1573) - (0 + sqrt(1573))) + 5 - (sqrt(1573) - -4*(-1 + sqrt(1573))))) + 5)*-5)**2.\nAnswer: 4400*sqrt(13) + 157700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-107 + 11*h + 57 + 50)*(0*h - h + 0*h) as o*h + s + u*h**2 and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 4009?\nAnswer: 2004.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*((1 + 2 - 1)*(3 - 3 + 3*h) - h + h - h + (170 + 214 + 111)*(3*h - h - h)).\nAnswer: 1000*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, 2, 59 in ascending order.\nAnswer: 2, 59, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*m + 260, -2*m = 2 + 6. Suppose 5*l - s = 4*l. Let g be l\/96 + (1 - 2). Sort g, -2\/9, -5.\nAnswer: -5, g, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2209279.78 to the nearest 1000.\nAnswer: 2209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.309 and 153.1.\nAnswer: 47.3079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 5*c = 2*x + 90, 36 = 3*x - 3*c. Let q(i) = -i + 11. Let p be q(7). Let u be 3 + (-12 + p)\/(-4). Solve -u*w - s - 12 = x, -5*s = 4*w + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12341 (base 7) to base 4\nAnswer: -302333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -15, -41, -79, -129, -191, -265?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -648683 (base 10) to base 2\nAnswer: -10011110010111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 l when four letters picked without replacement from {g: 1, l: 2, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -20, -38, -54?\n\"Answer: f**2 - 23*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -90*c + 1 + 46*c + 42*c. Let y be b(-1). Suppose -810 = -2*i + 5*r - 259, -y*r - 1387 = -5*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217032 to the power of 1\/2, to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2294 to the nearest ten.\nAnswer: -2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -33174343200 to the nearest 1000000.\nAnswer: -33174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9793 - -12571. What is the lowest common multiple of p and 18?\nAnswer: 8334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 12 - 8 - 46*p**3.\nAnswer: -46*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104.6 + 586.4. Let u = 692.507 - p. What is u rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = 2*n - 8, 0 = 3*n + h - 51. Suppose -5*d = 5*p - 2*d - 1, -n = -2*p + 4*d. Solve -y - y = -g, -y + p*g = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57540462 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 55\/4 of a decade?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 1:15 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*c + 6396 = 0, -4*c - 31772 + 6152 = -4*f. What are the prime factors of f?\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 27 - 87. Let f(o) = 12*o**2 - 8*o - 17. What are the prime factors of f(n)?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 - -3.3. Which is the nearest to -0.3? (a) y (b) 3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1487*c - 747*c - 742*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(5\/(-135)*6 - (-73)\/126).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/5 + 16*z**2\/5 + 8*z = 0. What is z?\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*d**3 - 798*d**2 + 27369*d?\nAnswer: -126*d - 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 23 + 47 = 0. Suppose -33 = -i*r + 9. Solve 7*s - r + 28 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/1533 and -57\/240415.\nAnswer: 52650885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k - 2*k - 2642 - 3*k + 2639. Suppose 0*c + 2*c - 12 = 0. Suppose 2 = -2*y - c. Give s(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69\/367 bigger than -303\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-1)*y\/(y\/y**(-4)))**47*(y*y**(2\/3))**(-24)\/(y**(-1\/3))**(-2\/35) assuming y is positive.\nAnswer: y**(-9137\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.54028 and 3.\nAnswer: -1.62084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.175 take away -6?\nAnswer: 13.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f. Suppose -m + 4*m - 324 = f. Calculate the highest common divisor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08 and 0.682725457758.\nAnswer: 0.602725457758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 172 + 108 = 0. Suppose 3*u - 3*j - 54 = 0, 5*u - 5*j = 4*u + 22. Let l = u + i. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1\/t**7)\/((t\/t**6)\/t*t*(t\/(t\/(t\/(t\/t**(3\/8))))*t)\/t))\/((t**(-2\/3))**24*((t*t*t*t\/(t\/(t**1*t))*t)\/t)**(10\/13)) assuming t is positive.\nAnswer: t**(1121\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9166 is divided by 4342?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + w - 2. Let f be c(3). Suppose 0 = -3*u + 5*h - 2 - 12, 5*u = 5*h - f. Suppose k = -u*o - o + 164, 0 = -o - 5*k + 78. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k - 2. Let m be b(4). Let t = 38 + -34. Put m, t, 9 in increasing order.\nAnswer: m, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17821339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + 2 + -20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -32*t**4\/3 - 149008*t**3\/3 + 74522*t**2 - 83842*t\/3 + 9316\/3 = 0.\nAnswer: -4658, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -52*f + 999. Let g be y(19). Let n(k) be the second derivative of 0*k**3 + 0 - g*k + 1\/6*k**4 + 7*k**2. Find the first derivative of n(r) wrt r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmjx when four letters picked without replacement from mhjxymrxxjj.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ggoogoogoogg?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 752 and 2.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 134, 131, 126, 119, 110, 99?\n\"Answer: -i**2 + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 425988 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*w + 4. Suppose 4*r = -2*q + 14 + 14, -w = -q + r. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(175) - sqrt(175))*-1 + 1 + (sqrt(175) + (-2*sqrt(175) - sqrt(175)) - sqrt(175)) + sqrt(175))**2 + 1 + 0 + 2 + 0 + sqrt(7).\nAnswer: -39*sqrt(7) + 707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 19 = -2*p, 9 = 3*p - 6. Suppose 2*c + 22 = 2*i, 5*c + g + 14 = 3*i. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a477 (base 13) in base 12?\nAnswer: 67338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(20)\/(-1*sqrt(4)) + 3 + (sqrt(5) - (sqrt(5) + -1)) + sqrt(5445) + 2*sqrt(5445)*5)**2.\nAnswer: 724*sqrt(5) + 655221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 11:40 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**3)**(-1)*u**0\/u*u**(2\/7))**(18\/7) assuming u is positive.\nAnswer: u**(-468\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 154 - 104. Suppose 4*n + 12 = 5*c + 2*n, 3*c = 3*n. Suppose 0 = -5*q + 3*y + w, -2*y = -c*q + 49 - 9. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgozzzzjgzztthgzzz. What is prob of picking 1 t and 1 h?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 113343 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 17*n**2\/2 + 65*n - 281. Let c be a(5). Calculate the greatest common factor of 120 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 + 1 - 10*o**3 - 1 + 10*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*n + 23 = 5*j + 80*n, 4*n + 37 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/7)\/((-153)\/(-357)). Put -2, -17, t, -0.4 in descending order.\nAnswer: -0.4, t, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310221?\nAnswer: 3, 34469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221020201000 (base 3) to base 16.\nAnswer: -79542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 15?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2330252920?\nAnswer: 2, 5, 58256323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.049 (b) -2.098 (c) -0.1 (d) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + l + 26, 0 = -0*a - a + l + 6. Differentiate 13*n**2 + 21 - 1 + a + 20*n**2 with respect to n.\nAnswer: 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2096052\/44 - 744\/1364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 6008 + 4160. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260.62638 months to years.\nAnswer: 21.718865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-250)\/(-800))\/((-15)\/(-4)))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17*2722\nAnswer: 46274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -146191 times -0.475\nAnswer: 69440.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -2 (c) -4 (d) 1 (e) 42\/55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2689133902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22729 - 27676. Which is the fourth smallest value? (a) z (b) -1 (c) -0.2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 322151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 + z**2 - z - 1. Let w(p) = 10*p**3 - 3*p - 4. What is -12*n(l) + 3*w(l)?\nAnswer: 6*l**3 - 12*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -5 (b) 2 (c) -4 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 57\/19*(-444)\/(-185)\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 64, 139, 268, 457, 712?\n\"Answer: l**3 + 21*l**2 + 5*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Let f = -239 - -246. Determine w, given that -3*w + f*w + 3*w + 4*w**l + 4 + w = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72626.0265 + 72717. Let d = 70.4 + 20.6. Let q = d - v. What is q rounded to three dps?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 621 + -3a?\nAnswer: 5c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 35 = -5*v, 5*n + 11631*v - 11629*v = -14 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -25) + -1 + 3 + (1 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from frmfmmfmmr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75046931 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + 0*f + 0*f + 4 - 4 - 5*f**2 + (f - 3 + 3)*(f - 3*f + f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3079 + 179.4079. Let x = r + -173. Which is greater: x or -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78042?\nAnswer: 2, 3, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 7929600?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 102022200102 (base 3) to base 15\nAnswer: 46062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 - f**2 + f + 1. Let u be b(-2). Let j = -4 + u. Suppose 9 = 3*g, 3*y = g + g + j. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 81*s**3 + 0 + 4)*(3*s + 15 - 15)*(0 + 4 - 2)*(s + s - s).\nAnswer: -486*s**5 + 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08 - -0.38. Let j = -12 + 12.2. What is the biggest value in t, -5, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11567886 and 12?\nAnswer: 23135772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000880017 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + 0.89. Let v = -0.964 + b. Round v to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 - -190d5?\nAnswer: 19106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -227 (b) -23 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 3. Let l be g\/(((-42)\/16)\/7). Let b(n) be the second derivative of n**4\/12 + 11*n**3\/6 + 11*n**2\/2 - 52*n + 3. Give b(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-15))\/(375\/(-11250))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -835994 + 70688 = -18*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g. Let o(t) = -7*t + 6. Let a(j) = -12*j + 9. Let y(k) = 3*a(k) - 5*o(k). Give -4*i(c) + y(c).\nAnswer: 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67804403 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -3, 0.062, 3\/7, -1.5.\nAnswer: -3, -1.5, 0.062, 1\/6, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209720 and 30709?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83183, 169564, 255945, 342326?\nAnswer: 428707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1883 is divided by 283?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**4 + 24*i**3 - 32*i**2 - 24*i + 36 = 0. Calculate i.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/3)\/(14*(9\/(-1))\/54).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3016445?\nAnswer: 5, 463, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*y**2 - 139 + 180 + 41*y**3 - 412 + 14*y**2 with respect to y.\nAnswer: 123*y**2 + 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 10:43 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -315 + 5?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)\/p)**(-4\/13) assuming p is positive.\nAnswer: p**(8\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 601*r - 11606558 = 21888975. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002149662 rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 3*n, 0*n = -5*c - n - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168176.76 months to millennia.\nAnswer: 14.01473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8272 - 8269. Solve -a*k + 9*m - 24 = 12*m, k = -5*m - 28 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 8:35 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -65?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 + -241 - -100 - (-1 + -6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*a - 14832, 3*k + 4*a = 6376 + 8452. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 - -2093?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + s + 1. Let q(h) = 16*h**3 - 8*h**2 - 8*h - 8. Determine -8*l(z) - q(z).\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 32602 = 34640 + 106057. What is the thousands digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 1685152.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -167727 < -167742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2. Let i(n) be the second derivative of n**4\/12 - 4*n**2 + 98*n. Calculate m(i(j)).\nAnswer: -2*j**4 + 32*j**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-12)*-22*(-204)\/(-680)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*u, -4 = 402*j - 406*j - u. Suppose -26\/7*k + 2\/7*k**j + 24\/7 = 0. Calculate k.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-2\/23)\/t)*t\/t**(4\/7))\/(t**(2\/9))**36 assuming t is positive.\nAnswer: t**(-883\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/12 + b**3\/6 - 2*b + 4. Let i(f) = 2*f**2 + 3*f. What is -15*h(c) + 5*i(c)?\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/(-1050) + 288\/5040?\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 21*o + 1493, 4*l + 128*o + 128*o = 251*o - 347 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - z - 10 = 4*z, 5*j + 4*z = -8. Suppose -u + 31 - 9 = j. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 3*v + 95. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w + 39 - 39 + w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**5 + y**5 + y**5)*((1 - 2 - 1)*(1 + 1 - 4) + 1 - 7 + 4).\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 - y**2 - 375*y + 9. Let p(x) = -4*x**3 - 2*x**2 - 749*x + 15. What is 3*p(r) - 5*t(r)?\nAnswer: -2*r**3 - r**2 - 372*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/9 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.05 + 0.05. Let p be (-10)\/(-7)*(-455)\/(-130). Sort p, 0.02, v.\nAnswer: v, 0.02, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11546501 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388238 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from mpjpfpfffmfmffpfff.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -16*y**5\/5 + 9*y**3 - 798*y**2 + 1328. What is the second derivative of q(z) wrt z?\nAnswer: -192*z**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + m + 12, 0 = -3*g - m + 6*m + 12. Suppose 2*h = -4*r + g*h + 24, -3*r + 3*h = -21. Suppose 0 = 4*y - 2*y - 4. Solve y*z - z = -r for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9894 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + (sqrt(833) - sqrt(833)*-3))*-4)**2 - (sqrt(833) + -5*(sqrt(833) + -3)).\nAnswer: 28*sqrt(17) + 333185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 - -1.5. Let y = -28 - -32.4. Let x = 0.6 + y. Which is the second biggest value? (a) n (b) x (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) - (sqrt(187) + -2*sqrt(187)))*3 - sqrt(187))\/((sqrt(66)\/sqrt(24) - sqrt(11)) + sqrt(11)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -333\/8, -4, -4\/5 in increasing order.\nAnswer: -333\/8, -4, -4\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -14 (b) -0.3 (c) -0.03 (d) 0.08 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10817764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5073.369 microseconds in seconds?\nAnswer: 0.005073369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(-1 - -2) + 8\/(96\/28). What is the fifth smallest value in -0.1, -1\/9, -0.5, g, -1.9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/2))\/((r\/(r\/(r*r**(-8))))\/r))\/(((((r*r**(2\/17))\/r)\/r)\/r*r*r)\/(r*r**(-6)*r*r)) assuming r is positive.\nAnswer: r**(183\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 12*z**4 - 4*z**3 - 12*z**2 + 6*z. Let x(c) = 23*c**4 - 8*c**3 - 23*c**2 + 13*c. Let b(j) = 5*w(j) - 2*x(j). Determine a so that b(a) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2794 is divided by 1502?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18 - 2\/3*-3. Suppose -4*t + 1232 = x, -19*x - 3*t + 2439 = -17*x. Let n = x - 1162. Calculate the greatest common divisor of d and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b = 0. Suppose 5*p - 3*n - n = -3, 3*p + 2*n - 7 = b. List the prime factors of 1 - ((0 - 3) + p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006637192977 rounded to five dps?\nAnswer: -0.00664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805 a factor of 1256511040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -9. Let l = y + 6.6. Sort l, -2, 0.4 in decreasing order.\nAnswer: 0.4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00129403 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.231 + -0.031. Let t = j + -2.1999805. Round t to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11266994?\nAnswer: 2, 59, 95483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.6 + -53.6. Let u = -44.9 - k. Which is the closest to 0.043? (a) 2 (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -375 - -378. Let d(h) = 3*h**3 - 50*h**2 - 2 + 0 + 51*h**2 - 4*h**z. Let b(o) = -3*o**3 + 3*o**2 + o - 7. Let x = -10 - -8. What is x*b(r) + 7*d(r)?\nAnswer: -r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1273670 (base 8) to base 11\nAnswer: 225243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 2:36 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -1 - (1 + -1). Let z = -151 - -147. What is the nearest to d in -5, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69227 (base 12) to base 9.\nAnswer: 233384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*b = -1004080 + 3250660. What is the thousands digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 3)\/(-2*1). Let n = 2 - d. Calculate the greatest common divisor of n and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*k - 2, 0 = 3*a - 4*k + 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 14*x**3 - 7 + 2*x + 5*x**2 - 30*x**3 + 15*x**3. Let l be q(5). What is the second biggest value in l, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/3? (a) 0.6 (b) 761 (c) 0.2 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 5*y + 8. What is the units digit of l(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*p + 1. Let r(x) = 17*x. Let s(m) = 84*m. Let g(n) = 14*r(n) - 3*s(n). Is 7 a factor of g(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + b, -3*z + 4*b + 12 = 34. Let d = -0.71 + -28.29. Let l = 28.9 + d. Sort l, -1, z in increasing order.\nAnswer: z, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/2 + 7\/14. What is the units digit of (g + 0\/(-3))*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213042 (base 6) to base 14\nAnswer: 6558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a = 33*a - 1294. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2212 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 1 + 1)*(-1955 - 351*i**2 + 1955 + (-i + i + 3*i**2)*(-1 + 5 - 3) - 4 + 4 - 2*i**2).\nAnswer: -350*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*k - 162*k**2 + 19*k + 2*k**3 - 4 + 26*k + 5 as a + l*k + v*k**3 + u*k**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123895 is divided by 17691?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -8*a + 145. Suppose 19*s + 14 = a*s. Differentiate 22*q**4 - 18*q**4 + 22 - 5 + s*q**4 wrt q.\nAnswer: 72*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/116)\/((-3)\/(-70284)). Let l = j - 404. Is 1 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c - c4aed?\nAnswer: -c4aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 7*u - 8. Let p be c(-4). What is the highest common divisor of p and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 736649 times 0.2\nAnswer: 147329.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:55 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoxo when four letters picked without replacement from xxoxxxxxooo?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 423*r**2 - 6*r - 2. What is the tens digit of y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -l - t - 1, 2*l + t = 3. Suppose -5*i + 104 = -l*g, 5*g - 70 = -5*i + i. Calculate the greatest common factor of 30 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/15*18\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2. Let o(a) = -2455*a**2 - 6874. Let c(u) = u**2 + 2. Let i(h) = 20622*c(h) + 6*o(h). What is r(i(z))?\nAnswer: 69431328*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*c - 28, -c + 4*t + 1 = -19. Let d(v) = -v**2 - 6*v - 5. Let h = -30 + 24. Let j be d(h). Put j, c, -4 in descending order.\nAnswer: c, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 2*j**2 - 4 + 2 - 2 + j**2 + j**2 + 4*j - 4*j + (-j - j + 0*j)*(-2 + 2*j + 2) + j**2 + j**2 - 4*j**2 + 2*j**2 + 2*j + 43 - 43.\nAnswer: -4*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1573291 to the nearest 1000.\nAnswer: 1573000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 0.4, 4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 8*p - 68 = 0. Let l = p + -29. Suppose -b - 2*t = 57, -5*t = l*b + 355 - 75. Is b smaller than -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 20 = 2*s. What is the lowest common multiple of 38 and s?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100305\/2 - 50152. Factor a*h**3 - 13\/2*h**2 + 35\/2*h + 49\/2.\nAnswer: (h - 7)**2*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -114697*v**3 - 4*v - 316321 with respect to v.\nAnswer: -344091*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 6*s**2 + s - 2. Let w be d(6). Suppose 0 = -5*b + 5*u + 35, 2*u + w = -0*u. Suppose b*l = -l + 36. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeo when three letters picked without replacement from eeoxxooexxexxxo?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25, -181, -483, -961, -1645, -2565, -3751?\n\"Answer: -5*s**3 - 43*s**2 + 8*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -10. What is the common denominator of u - (-3 - (-75)\/36) and -85\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 29*g**2 - 82*g + 25. Let n be z(11). Put n, -2, 4 in descending order.\nAnswer: 4, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/51*(-30)\/(-40). Let g = 1 + -6. Let b = 7 - 11. What is the second smallest value in b, f, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Suppose 0*i = -w*i + 36. Suppose 4*j - 3*j = -3*o + 3, 4*j - 25 = o. What is the lowest common multiple of i and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 10:48 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a + 3*a**3 - 6*a)*(0 + 3 - 7)*(-2 + 5 - 4).\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1.5. Let x = -2 + v. Sort x, 3, -4.\nAnswer: -4, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3407227476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 - 8*y - 5. Let f be w(-6). Suppose -15 = -3*l + 3*v, -2*v + 9 = -3*l - f*v. Is ((-9)\/l)\/((-12)\/24) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g, i - g + 6*g = 2. Suppose 0 = i*c - 68 - 4. Let v = c - 16. Calculate the highest common divisor of v and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -57 = -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15798 and 852.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j + j + 5*j + 417 + 0*j.\nAnswer: 2*j + 417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1430.9 - 1428.9. Sort 5, -1\/8, m, 0.1, -0.04 in descending order.\nAnswer: 5, m, 0.1, -0.04, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75525162 is divided by 393.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 105.7014 and 88.\nAnswer: 9301.7232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -103359554831\nAnswer: 103359554826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from zyazztjytxay?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 1144, 302?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 10:37 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1954*u + 167008 = 574*u + 2384*u for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15764280 divided by -394107?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 11 - 3 = 0. Let g be (-1)\/(-2) + (-95)\/w. Does 10 divide g\/(-18)*33\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1567794)\/(-4) + -8*(-10)\/160 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -12065*n**4\/4 - 9*n**3 - 2*n**2 + 14642. Find the third derivative of u(y) wrt y.\nAnswer: -72390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10330421331 - 121?\nAnswer: -10330422002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12100112 + -2?\nAnswer: 12100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001005270404 rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1491003674?\nAnswer: 2, 745501837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12221 - -11100?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -35?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 10:02 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -25, -5, -0.05 in decreasing order.\nAnswer: 3, -0.05, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17997.\nAnswer: 3, 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 921143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 3 + 0)*(q + 2*q - 2*q) + 4*q - 5*q + 0*q + (-19 - 13 + 18)*(q + 4*q - q)*(-6 + 0 + 5) as x*q + s and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-1))\/(27\/81))\/(54\/180).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*n, -1212*b = -2*n - 1202*b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tte when three letters picked without replacement from {t: 2, e: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 4*n**2 - 12*n - 14. Is a(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 2. Let u = -15.7 - -15.704. Let a = -0.404 + u. What is the second biggest value in a, -3\/2, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 8*s**2 - 9*s + 21. Let q be p(9). Suppose -q*i + 22*i = 2449. Suppose -5*n = -r + 339 - 2797, 2*r - i = -5*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -15\/2, -4, 2\/3, -0.2, -3\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Let p(v) = 2*v**2 - v + 2. Let y be (8\/(-6))\/((-16)\/36). Let u(m) = -8*m**2 + 1 + 2*m**y + 13*m**2 - m**3 - 4*m**2. Determine t*u(x) - p(x).\nAnswer: 2*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*n - 23*n - 5168. Calculate the remainder when n is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 31. Suppose 0 = -3*l + 6, -4*n - n - j*l + 56 = 0. Let o be (-7)\/(-14)*(-8)\/n. Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 912 + -3?\nAnswer: 90d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*v + 131 = -3*o, -2*v - 2*o - 16 - 38 + 52 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9695728\/15 + -646151. Let h = x - 231. Put h, -0.2, 15 in decreasing order.\nAnswer: 15, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*t + 585 = 55*t + 48*t. What is the greatest common divisor of 615 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + k**2 - 7*k + 5. Let m be b(-3). Suppose 3*s = -f + 3, 3*f + m = s + 7. Suppose -2\/9*t**2 - 2\/9*t**3 + 0*t + f = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (372 - -4) + (-7 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l - 756. Let t = l + 325. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95228116509 take away 0.049?\nAnswer: -95228116509.049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5100299881+-14\nAnswer: -5100299895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1862655\/52 + 35822. Find the common denominator of m and (35\/66)\/(7*4\/252).\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15*-1*(1 + 18\/(-15)). Put -4, y, -6 in decreasing order.\nAnswer: y, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/12*(-2139)\/(-46). Solve l*v = 13*v + 72 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/6)\/((-20)\/(-90)). Let z(g) = -5*g - 1. Let j(c) = 11*c + 2. Give t*j(m) + 13*z(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 - 132. Solve 2*h - 20 = -c*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z**2 + 258*z. Let m(x) = -x**2. What is u(m(l))?\nAnswer: 7*l**4 - 258*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.38 times 2449?\nAnswer: 930.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82974253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 62*14\/14 + 2 + -2. What is the greatest common divisor of 4278 and w?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 2\/11, -1\/2, 179 in ascending order.\nAnswer: -3, -1\/2, 2\/11, 2, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15678546 + -1?\nAnswer: -15678547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*i - 22, -70 = 5*p - 4*i - 111. Let w(s) = -s**2 - 2*s + 2. Let v be w(2). Let j be v\/p - (-17)\/3 - -4. Solve 5*k - j = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 151?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.6 - -0.44. Let t = j + 6.16. Let y = 5.935 - t. What is y rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iru when three letters picked without replacement from {u: 2, i: 5, r: 3}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b**3 + b + 1. Let x be v(-1). Suppose 5*t - 3*t = 6, -3*d - 4*t = -72. Let m be (121\/4)\/(5\/d). Calculate the greatest common factor of m and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/54*9\/((-9)\/3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*20\/(-1450) + 2886\/(-9048). Let z = -1.1 - -1. Let k = 0.1 - 0. Which is the nearest to z? (a) r (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -36, -2 in decreasing order.\nAnswer: 5, 2, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -18, 84 in increasing order.\nAnswer: -18, -4, 2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 1996*o + 50705. Give k(-25).\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 23382496*h + 23382497.\nAnswer: -(h - 23382497)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11607 divided by -118.\nAnswer: -11607\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -4. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 172*d**2 - d. Let r(n) = -17*n**2. What is m(r(i))?\nAnswer: 49708*i**4 + 17*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3819 is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -226400 + 1808707\/8. Let b = o + 312. Let t = 0 - -1. What is the nearest to t in b, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558*u + 74 = -521*u. Let y = 7 + -2. Let b = y - 2. Calculate the smallest common multiple of u and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3374 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 0 + 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13112 (base 4) in base 13?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - q = 5*a, q - a = 9. Calculate the greatest common factor of 95 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 62\/(-7) - -3 - 2\/2. Which is smaller: -6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (536\/(-5))\/(14\/(-10) - -1). Let k = p - 267. Solve z = -s + 5*s - k, 5*s = 4*z + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (-2)\/(2 + 0). Let r = 51 + -22. Suppose -5*h + 36 = -r. Solve t*f - h = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397 - 15 = -125*p - 37 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49729*z**3 - 99533*z**3 + 49783*z**3.\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4865.473 rounded to the nearest 100?\nAnswer: -4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4\/3 (b) -2\/3 (c) 113\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 31*c**2 + 65*c + 19. Let k be r(33). What is the closest to 1 in k, 3, 1\/9, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:09 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 5. Give j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-1) - (-644)\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - 207a?\nAnswer: -2064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1458237 is divided by 930?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - d + 172. Suppose -x + x = 8*x. What is the units digit of m(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.227 take away 10?\nAnswer: -10.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -134?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - 7*z - 3. Let s be i(-2). Suppose s*l - 2042 = 8329. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -25. Let d be (-1)\/(-5) + y\/20. Let r(w) = w**2 - w - 2. Let t be r(d). Let b(k) = -k**3 - k**2 + k - 1. What is b(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24430 (base 8) to base 16.\nAnswer: 2918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 713 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 606 and 10?\nAnswer: 3030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2126*w + 0 + 1 - 1626*w.\nAnswer: -3752*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -6843 at least as big as -3120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.9*3.05\nAnswer: -2.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 308*n**3 + 114*n**3.\nAnswer: 423*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-6) - (-2 + -5 + 9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9570\/(-99))\/(-29)*(-12)\/70?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473508331?\nAnswer: 473508331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x*x\/(x**20\/x)*x*(x*x**(-14))\/x**(-15))**48 assuming x is positive.\nAnswer: x**(-1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 65, 99, 133, 167, 201?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 959, 2, -1, 65, 3 in decreasing order.\nAnswer: 959, 65, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3981*x**2\/5 + 11949*x\/5 + 18\/5.\nAnswer: 3*(x + 3)*(1327*x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -15*v**2 + v + 1. Let w be b(1). Let h(z) = -z**3 - 9*z**2 + 36*z + 25. Is h(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -33 (b) 0 (c) -3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143039?\nAnswer: 13, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 - 15. Let z = -22 + q. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-4) + (-45)\/(-10). Let r = -43 + 22. Which is bigger: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 63*c - 66*c + 3*b, -5*b = 48*c - 0*b + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 r, and 1 x when four letters picked without replacement from qrxxxxxqqxrxr?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.3 - 15.6245. Let y = w - -0.0275. What is y rounded to two dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 75*b**2 + 385715*b - 51430 = 0.\nAnswer: -5143, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12.4 (b) 12 (c) 1 (d) 0.114 (e) 3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -388863*y + 388863*y - 905*y**2 to the form j*y + b*y**2 + q and give b.\nAnswer: -905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 4*d**2 + 11*d - 27. Let i be j(-8). Let l = -648 + i. Solve -c + l*o - 7 = c, 4*o = -4*c + 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2604 (b) 0.2 (c) 2\/11 (d) 3197 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 174\/4*(-5)\/(-40) and (-20)\/(-42)*532\/(-96)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -171 at most as big as -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 11 = 29. Solve 4*m = 5*c, -x*m = -2*c - c + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7 = -2*f + 4*j, 5*j = -f - 4. Suppose 24*z = 26*z - 8. Let l = 5 - 9. Sort l, f, z.\nAnswer: l, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-38 - -21) - -51 - -17.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0.017737?\nAnswer: -2.982263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -121919 and -0.1.\nAnswer: -121919.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -17*x. Let y(d) = 3072*d**2 + 3052. Calculate y(v(f)).\nAnswer: 887808*f**2 + 3052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9))**(-5\/8)*(g*g**(-6\/7))\/(g**(22\/5)*g) assuming g is positive.\nAnswer: g**(103\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 247 + 6305. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85.96 + -86. Sort x, 1\/2, 0, 2.\nAnswer: x, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + b**2 - 5*b**2 + 161.\nAnswer: -3*b**2 + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2781157, 2780873, 2780589, 2780305, 2780021?\n\"Answer: -284*g + 2781441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2299.32837ms to days.\nAnswer: 0.000026612596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6846.\nAnswer: 2, 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 - 4 = 2*v, 0 = 4*s - 3*v - 11. Suppose -4*a = -2*a + 148. What is the remainder when (2\/s)\/((-2)\/a) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 58. Suppose -52*q = -c*q + 350. What are the prime factors of q?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46560 is divided by 1293.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 10. Suppose 3*x = 0, y*l - 33 = 4*x - 5. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 668892 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (28 - (18 + (35 - 14))) + -5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/707863 and -62\/163353.\nAnswer: 2123589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + 1. Let n = -0.25 + -6.75. Let k = s + n. Sort k, -4, 4.\nAnswer: -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 5:59 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1149, -2200, -3251, -4302, -5353?\n\"Answer: -1051*n - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-4) - 38\/(-8). Suppose -d - 12 = -2*s + 1, u*d + 20 = 0. Suppose 3 = s*r + 11. Which is the closest to -2\/3? (a) 4 (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52673010 divided by -13.\nAnswer: 4051770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 742.001467 - 742. Round s to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -259?\nAnswer: 10\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - 30 = -3*k, 3 = 3*k + 5*h. Suppose k = n + 2*n. Suppose -2*d + n + 4 = 0. Which is the closest to -0.2? (a) d (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 33229*n - 132920. What is y(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.651 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.033892743163557 from 4.\nAnswer: 4.033892743163557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -258, -419, -600, -807, -1046, -1323?\n\"Answer: -p**3 - p**2 - 137*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8638, -17281, -25926, -34573, -43222, -51873?\nAnswer: -60526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-126)\/(-10) - (-14)\/(-35)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -338, -5?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Put 4, -11, y in ascending order.\nAnswer: -11, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12918 + 12924. Solve -201*v + 198*v = j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Solve -i - i = 5*q + k, q = -3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -227 - -227. Suppose -2*f + q - 103 = a, 7 = -q + 6. Which is greater: f or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Suppose -c - 35 = -2*z + g*c, z - c = 18. Let q = 17 + -10. Calculate the remainder when z is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = 8*l + 131. Calculate the common denominator of l\/(-120) + (-2)\/12 and -119\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -183 + 4?\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1581, -1519, -1349, -1017, -469?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12 - 0) + -49 + 29 - 3) + -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 754 - 760 = -6*m. Which is greater: 2\/423 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13872 - -208007\/15. What is the common denominator of -52\/57 and d?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*l - 49, -h = 2*l - 59 + 18. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:28 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 45*v**4 - 111560*v**3 + 1012745*v**2 - 111150*v = 0.\nAnswer: 0, 1\/9, 9, 2470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 9*g**5 + 78*g**4 + 237*g**3 + 288*g**2 + 108*g = 0.\nAnswer: -3, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**2 + 2*p + 3. Let g be j(-3). Let v be (-28)\/(-56)*-766*1. Let t = v - -344. Is t smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, a: 1, e: 8, y: 1, s: 3, f: 2}. What is prob of sequence may?\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 8*x**2 + 9*x - 11. Let r be a(7). Let k(n) = -3*n**3 + 3*n**2 + 4*n + 6. Let i be k(-4). Suppose -i = -2*v - r*v. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 735838, 1471708, 2207568, 2943412, 3679234, 4415028?\n\"Answer: -y**3 + y**2 + 735874*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 10*j**2 - 12*j. Let s be b(-8). Let k = s - -34. Suppose 4*c - 50 = k. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 6. Let r be s(-3). Let y be (-2)\/4*(r - -1). Suppose 6*n = 4*n - x + 2, -5*x + y = n. Solve v = -n + 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.055 - -0.04504. What is k rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6590245 litres?\nAnswer: 659.0245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 964142?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15010 times 3?\nAnswer: 45030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2227 times -0.02085\nAnswer: 46.43295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66, -248, -544, -948, -1454, -2056?\n\"Answer: o**3 - 63*o**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82016653.\nAnswer: 17, 277, 17417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/1226907211?\nAnswer: -2\/1226907211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-2 + 4 - 3)*(7 + 7 - 2)*(-5 + 3 + 1)*(3*b - b + 0*b).\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*o**5 + 180*o?\nAnswer: 2180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8012, -8077, -8190, -8351, -8560, -8817, -9122?\nAnswer: -9475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 1. What is the units digit of b(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/1 - (-21672)\/(-9). Let i = 1226 + x. What is the tens digit of (-3)\/5 + i\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36389761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -2\/53, 0.3, 1\/4, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Let j(g) = -4*g**2 - 25*g - 10. Let z be j(-5). Solve -c*d + z = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/27527 or -1?\nAnswer: 2\/27527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1829 is divided by 690.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2 - 2*k - 1. Let m be i(-1). Suppose 5*y = -5, m = -3*g + 5*y - 7. Suppose -4*r = 5*u + 6 - 8, 0 = -2*r + u - 20. Is r >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5548106?\nAnswer: 2, 23, 29, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66.8869 and -24?\nAnswer: 1605.2856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -346 + 356. Solve 2*i - t = -4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:33 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.33365kg in nanograms?\nAnswer: 3333650000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 62 (b) -2 (c) 2 (d) 2\/3 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 17*v + 19. Let d be z(-15). Let n be 14\/d + 38\/14. Solve -3*p = n*b - 4*b + 7, p = 3*b - 13 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3436 or -3433?\nAnswer: -3433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, x: 3, z: 4, q: 1, a: 1}. What is prob of sequence xz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 5*d - 873, -d + 5*c = -35 - 134. Suppose 0 = -3*j + d - 36. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*k**3 - 47*k**3 - 39*k**3 + 126*k**3 - 379 - k**2 - 2*k to the form o*k**2 + m*k**3 + u + f*k and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i = -8. Suppose i - 24 = -5*b. Suppose -3*u + 11 = b*d - 15, -2*d + 6 = -2*u. Is 2 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s. Let u(w) = w - 29. What is u(k) - 2*v(k)?\nAnswer: -k - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 117, 5, -215, -579, -1123, -1883, -2895?\nAnswer: -4195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1190450, -2380993, -3571536, -4762079, -5952622?\nAnswer: -7143165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21100120112 + 0?\nAnswer: -21100120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 1 + 0 + 0. Suppose -m + 2*s = 1, 7 = -c*m - 3*s + 2*s. Is 6*(5\/m - -2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1521, -69 in decreasing order.\nAnswer: 1521, 2, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -95, 3, -0.3, -3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 11*u + 6*u)*(-11*u**2 + u**2 - 12*u**2).\nAnswer: -286*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - 39. Let v = 64.00234 + s. Round v to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/13*(-1)\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 239570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 9:19 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 104779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1252781, 2505410, 3758039?\nAnswer: 5010668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 2*k**2 + 11*k**2 + 0*k**2. Let s(c) = -2*c**2. Give s(t(q)).\nAnswer: -288*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.12 + -0.12. Let i = -7.7 + v. Let x = i - 0.4. What is the second biggest value in 2\/21, x, 0.5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 75 - c?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:30 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -66, -149, -264, -411, -590, -801?\nAnswer: -1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**3 + 62722682*i**2 + 522221295*i.\nAnswer: 18*i + 125445364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-5)\/(i\/(i*i**(2\/161)))*(i**(-4))**(2\/19) assuming i is positive.\nAnswer: i**(-16545\/3059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -27*n + 37. What is o in -2\/3*o - 2\/3*o**3 + 0 + 4\/3*o**n = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*z - 0*j - 3*j, -4*j = -2*z + 16. Let w be z\/(-6)*6\/12. Let k(f) = -f**2 + 15*f - 15. Let s be k(14). Sort w, -4, s in ascending order.\nAnswer: -4, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25528 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 690.461 - 690. Let n = j - 0.071. Let p = n - -8.01. Are 0 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 4 (c) -4 (d) -3\/8 (e) -99\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5765.1234 + 5765. What is m rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*p - 5)*(19356*p - 9838*p - 9899*p).\nAnswer: -1524*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 204779?\nAnswer: -1\/204779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2375 equal to -2210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 - 2*h**2 + 0*h**2)*(-4*h**3 + 4*h**3 - 2*h**3 + h - h - 2*h**3 + (h**2 + h**2 - h**2)*(3*h - 7*h + 3*h) - 3*h**2 - 5*h**3 + 3*h**2).\nAnswer: -20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/6? (a) 0.2 (b) -1\/10 (c) -1 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1244923 divided by 2\nAnswer: 1244923\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*(r\/r**(-2\/7))\/r))**(2\/9)\/(r*r**(-2)*r**3\/r)*r*r**(2\/9)*r**(-5)*r*(((r\/(r**(-2\/7)*r))\/r)\/r)**(-2) assuming r is positive.\nAnswer: r**(-26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**4 + 675*l**3 + 1329*l**2 - 2007*l = 0?\nAnswer: -223, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:09 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 23. Let s be ((-2396)\/15)\/((-10)\/(-30)). Let o = 483 + s. Is o at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1746, -1610, -1474, -1338, -1202?\n\"Answer: 136*t - 1882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136324501*j**5 + 28877794*j**2 wrt j?\nAnswer: -8179470060*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1023001013 (base 4) to base 13\nAnswer: -a9b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14011 (base 15) to base 8\nAnswer: 175215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ee (base 15) in base 8?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23020 + -3?\nAnswer: 23012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4\/7 + 472*a**3\/7 + 12948*a**2\/7 - 57584*a\/7 + 59536\/7.\nAnswer: 4*(a - 2)**2*(a + 61)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 7*m - 27. Let q be -2*4 - 14\/(-7). Let v be 4\/(-12) - 98\/q. What is the tens digit of w(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 3. Let g be k(3). Suppose g = -3*c - 279 + 990. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a millennium in years?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ataxxxxiai. Give prob of picking 2 a.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-3799.\nAnswer: 4178.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiyixixiyyyyyyyyiiyy. Give prob of picking 4 y.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s\/(s\/s**(1\/6)*s))\/s*s)*s)\/((s\/(s**3*s))\/s))**(17\/3) assuming s is positive.\nAnswer: s**(799\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1013, -4071, -9167, -16301?\nAnswer: -25473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**10\/1008 - h**6\/45 - 5*h**3\/2 - 7*h. Let y(j) be the second derivative of s(j). Find the third derivative of y(k) wrt k.\nAnswer: -600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 250 and 40.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11258880.\nAnswer: 2, 3, 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3657, 3656, 3661, 3678, 3713, 3772, 3861?\nAnswer: 3986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.9 - -19935?\nAnswer: 19953.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - 0*(18\/(-12) + 2). Solve -25*i - q = -21*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4 - ((-6)\/(-4) + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 270*y - 269*y - 8, -a = y + 4 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*u - 34. Let h be 2\/5*u\/1. What is the highest common factor of h and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -836.7301711 to 2 dps.\nAnswer: -836.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2881 - 2881.004828. Round u to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*x**3 + 596*x**2 + 348*x - 216.\nAnswer: 4*(x + 1)*(x + 18)*(8*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1268*v**2 - 908.\nAnswer: 2536*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bccd when four letters picked without replacement from {y: 4, g: 3, x: 2, c: 6, d: 1, b: 2}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {k: 3, t: 3, a: 1, r: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/18)\/((-4)\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 140 or 3939?\nAnswer: 3939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 1 + 87\/3. Let b(n) = 28 + 2*n - y. Let d(h) = 12*h. Determine d(b(g)).\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 956229586.\nAnswer: 956229589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 = -5*m - 107. Calculate the remainder when m is divided by (3 - 5)\/1 - -25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 4*y + 0*y = 2*n - 36, 4*n + n + 77 = 127*y for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/5)\/(9\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4395 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16 - 1339\/(-78) - (-1)\/(-6). Let y(r) = -3*r**2 - 2*r + 1. What is y(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 - (-5 + 3) - -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -232211302032 (base 4) in base 5?\nAnswer: -11111312030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1768, -3197, -4610, -6007, -7388?\n\"Answer: 8*f**2 - 1453*f - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 2*o + 2*o - 2*o + 3*o + o - 5*o + 3*o + (4 - 5 + 0)*(2 - 2 + o) - 4*o + 0*o + 2*o - 4*o + 2*o + o + 11*o - o + 11*o to i + p*o and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 371 + -256. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3 - 40*j**2 + 271*j - 480.\nAnswer: (j - 32)*(j - 5)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 10963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - -2 - (-78 + 165 + -79) - -46?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3029228 to the power of 1\/2, to the nearest integer?\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96*1\/10*2\/(-8).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 486080207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/3 + 1)\/((-4)\/12). Let o - 1\/2*o**3 + 0 - 1\/2*o**x = 0. Calculate o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 5*r + 3, -2*r + 3 - 1 = 4*y for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {r: 2, m: 1, h: 1, p: 1, g: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*y - 1906 = 0, -3*y = -3*s + s - 1272. Let m = -627 - s. Solve -m*n + 8 = -k, -k - 4*n + 7 = -6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*v**2 - 3594369*v + 798750.\nAnswer: -3*(v + 133125)*(9*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/26 - -19\/234. Suppose -2*s + 15 = -5*s. Which is the second biggest value? (a) s (b) x (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -6*j - 29. Let u(n) = n**2 + 11*n - 15. Let b be u(-11). Are b and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 108 = -10*v. Let s = v + -54. Solve -w + 2*w = s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177165 (base 11) to base 13\nAnswer: 97388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 10) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23049.\nAnswer: 3, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 + 6*x - 2. Let t(k) = 8*k**2 - 13*k + 2. Give -7*j(u) - 3*t(u).\nAnswer: 4*u**2 - 3*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 190 + -190.0405. Let v = 547.0405 + r. Let m = v - 543.97. Round m to one dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*t + 216 + 15*t - 231 + 2*t**2 wrt t.\nAnswer: 4*t - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97*i**2*m**3*z**2 + 4*i**2*m**3*z + i**2*m**2 + 125*i*m**2*z - 2*m**2*z**2 wrt m.\nAnswer: -582*i**2*z**2 + 24*i**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63\/230 + 3\/115. Let k = -47 + 54. Let q be (k\/(8 - -6))\/((-38)\/(-8)). Which is the second smallest value? (a) -0.1 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*m + 48 = 0. Let l(b) = b**3 + 12*b**2 - 2*b - 17. Let a be l(m). What is the first derivative of 3*w + 4 - a + 4 - 2 wrt w?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3917472 by -688.\nAnswer: 5694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**2 - 721*k + 7157?\nAnswer: -2*k - 721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i - 3. Let h be f(-1). Let p(m) = 4*m - 1. Let g(w) = w + 1. What is h*g(v) + p(v)?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 102?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*p - g - 26, -5*p + 20 = -2*g. Let h be 0*(-1)\/(-1 - -2). Find a, given that -1\/4*a**p + 1\/4 + h*a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 187755*n**2. Let u(q) = 2*q. Determine j(u(g)).\nAnswer: 751020*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7*(-14)\/(-12)*(-11)\/(-220) and 93\/64.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, -4, 3, -10, 0, -5 in descending order.\nAnswer: 78, 3, 0, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -124339300 to the nearest one hundred thousand.\nAnswer: -124300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6 = -0, -j + 3*v = 1. Let u = -339 + 349. Let o be u\/(-25) + (-154)\/j. Solve 5*k + o - 5 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*g + 14 = 35, -5*f + 3*g = 31. Let a = f - -59. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((3*sqrt(1584) + -3)**2 + 2 - (2 + -2*sqrt(1584) + -1)).\nAnswer: -192*sqrt(11) + 14270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -3*k + 4*i + 2, 6598 = 4*k + 4*i + 6554 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (129 - (76 + 22)) + -34.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -2\/11, -181?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 17*a + 44. Let q be b(-19). Let n be 54\/10 + q\/(-15). Solve 3*u = n*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(684) - -2*(sqrt(684) - sqrt(684)*-1)**2) + 4 + -2 + (sqrt(114)*-6 + sqrt(114))\/sqrt(6).\nAnswer: -17*sqrt(19) + 5472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {r: 1, e: 1, k: 3, l: 5}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vt when two letters picked without replacement from yttyyttttttttvyyyt.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/30)\/(2\/(-10)). Suppose -13 + 37 = b*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, 4\/7, -8, 2.8, 2.27, -3.6, -0.4?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*t + 23, 3*t = 58*a - 60*a + 9. Solve -y = -2*h - 0*h - 1, 3*y + 3*h = -a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 + g**3\/3 - 19*g**2 - 113*g\/3 - 56\/3.\nAnswer: (g - 8)*(g + 1)**2*(g + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**3 - 5*b**3 - 7*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -513374834 divided by -2\nAnswer: 256687417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 - 82*a**2 + 41*a + 71. Calculate the remainder when w(-21) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k + 5. Let p be x(-7). Suppose 0 = g + 4*m + m - 11, 5*g - p = 2*m. Solve 0 = 5*s - 4 - g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20 - 1*(-16)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95.9 - -95.8999985347. What is l rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -1. Let p = 0.42 - -0.08. What is the closest to -3 in -2, p, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 1. Calculate j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -1672374*h. Let b(s) = -2*s**2 - 48. Determine y(b(f)).\nAnswer: 3344748*f**2 + 80273952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5809 and 2627.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/10)*(-7448)\/2660?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-42)*(-3960)\/440\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddocqcodddac.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = 3. Suppose -14 - 1 = 5*s + r*a, 5*a = 0. Let j be 1\/s*-6*3. Solve -4*m + 2*n = -2 - j, 3*n = 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*p = -0*p - 10742, 4*p = 4*k - 10712. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 37*c**7\/42 + c**6\/10 + 367*c**5\/60 + c**3 - 11*c**2 + 84. What is the third derivative of p(s) wrt s?\nAnswer: 4440*s + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from {f: 3, w: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-33))\/(-17)*4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 + -2. What is the remainder when 68 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -19) + -13 + 1 + 6 + -3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43753810 to the power of 1\/3, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.31 - -0.35. Let u = t - -0.96. Is u > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, c: 10, p: 2}. Give prob of sequence poop.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55 (base 8) to base 12.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39434 - 39120 + 78554 + 3*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1387*p - 417397 = -450685 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 < -76\/6635359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12290 - -12370. Sort -3, -2, 0, v, -1 in descending order.\nAnswer: v, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a\/((a*((a\/a**(9\/5))\/a)\/a)\/a)*a))**45 assuming a is positive.\nAnswer: a**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4751 + -4551. What is the remainder when r is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6359525\/11 + 578143. Factor 2\/11*x**3 - c*x**2 - 44 + 30*x.\nAnswer: 2*(x - 11)**2*(x - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -75070824 and -2?\nAnswer: 150141648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1667 divided by -528.\nAnswer: 1667\/528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -28, -13, 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/492 and 43\/4130?\nAnswer: 1015980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746036 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -384947*y**3 - 1498533 wrt y?\nAnswer: -1154841*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -115.7 and 1?\nAnswer: -115.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -537 (base 8) to base 7.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3539.09um to millimeters.\nAnswer: 3.53909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/11)*w**(-2\/7) assuming w is positive.\nAnswer: w**(-29\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d**(1\/5))\/((d*d**(-1\/5)*d)\/(d\/(d*d**(-7)))) assuming d is positive.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2\/(-3)*(-31 + 22). Let p = n + -6. Which is smaller: p or -3\/26?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-nine fifths of a tonne?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, -11, -3, -6\/5377 in increasing order.\nAnswer: -11, -3, -6\/5377, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2\/43)\/n*n**14 assuming n is positive.\nAnswer: n**(600\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k - 42. What is the remainder when k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 0.018826?\nAnswer: -0.081174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -196*o - 1573. Calculate w(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*a**4 + 3*a**3 + 308 wrt a?\nAnswer: -56*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 612966047 to the nearest integer?\nAnswer: 849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o + 4. Let i be w(4). Let r be ((-98)\/(-8) - 1)*i. Let l = -26 - r. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 11*a**2 + 9*a + 2. Let x be k(-10). Suppose 4*j + 4*m = -x - 4, 3*m = -j - 12. Solve j = -2*i + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5813*m - 5813*m + 3*m**2 - m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q + 0*q + 0*q - 9*q - 23*q - 14*q + 2*q - q - 2*q + (2 + 2 - 6)*(-2*q + 2*q - 2*q) + q + 0*q + q - 3*q + q - 2*q.\nAnswer: -41*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -4 + 0*z**2 + 0*z**3 - 1\/21*z**7 + z - 400\/3*z**4 - 48*z**5 - 14\/5*z**6. Suppose j(d) = 0. What is d?\nAnswer: -20, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/8653 bigger than 3936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/15 + 50314*a**3\/3 + 7911562012*a**2\/15 + 7910606072*a\/3 + 3164121680 = 0. Calculate a.\nAnswer: -62890, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -971, -1996, -3035, -4094, -5179, -6296?\nAnswer: -7451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 766 and 6199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8936215 + 3.94?\nAnswer: -8936211.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.110067 + -0.11. Round f to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007837 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -304*c**3*r**2 - 87*c**3 + 3*c**2*r - 623*r**2 wrt c?\nAnswer: -1824*r**2 - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50574191?\nAnswer: 2741, 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 71*j + 1438. Let y be z(-20). Solve -67*d + 64*d = -y for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101010110 - -100?\nAnswer: -101101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzss. Give prob of sequence zszs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68881, 275375, 619531, 1101349, 1720829, 2477971?\n\"Answer: 68831*f**2 + f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.20468328 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -2, 0.1, 4\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qivu when four letters picked without replacement from vhuuihqhrhhhih.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1425*f. Let j(b) = -173*b + 294*b - 183*b. What is -114*j(k) + 5*n(k)?\nAnswer: -57*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110111 (base 2) to base 3.\nAnswer: 111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 2*t**7\/105 - 2*t**5\/15 + 2*t**3\/3 - 15*t**2. Factor a(j).\nAnswer: 4*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2092 and 36.\nAnswer: 18828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**6\/120 + q**5\/60 + q**4\/12 + q**3\/3 + 20*q**2 - 2*q + 5. Let f(m) be the first derivative of c(m). What is f(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, 0, -2, 265, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x + 380 = -15*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*r**4 + 52*r**3 + 23*r**2 - 2*r.\nAnswer: r*(r + 1)**2*(27*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 39852\nAnswer: -39852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 447759 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.6 + 4.18. Let s = 0.23 + q. Let o = 0.11 - s. Which is the biggest value? (a) o (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let b be (-2)\/14*(-7)\/2. Let 0*i**3 + b*i**2 + 0 - 1\/2*i**4 + q*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(605))**2 + -5 + 1*sqrt(5).\nAnswer: sqrt(5) + 9675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/95 + 0 + -72 + 70 and 43\/114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*n + 4. Let d be 5 + -4 + 1 - n. Calculate the greatest common divisor of 8 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 29075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*d**6*s**2 + 7*d**4*s - 2321*d**2*s**2 - 3*d*s**2 wrt d?\nAnswer: 13680*d**3*s**2 + 168*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -27*c + 31*c. Let u(d) = -8*d**3 - d**2 + 6*d - 6. Let v(x) = -23*x**3 - 3*x**2 + 17*x - 17. Determine c*v(q) + 17*u(q).\nAnswer: 2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -487 + 2438\/5. What is the second smallest value in s, 1\/3, 0.01, 2\/19, 3\/4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20564000342586 minus -0.5?\nAnswer: -20564000342585.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w + 2*w - 2*w)*(7*w**2 - 7*w**2 - 32*w**2)*(-1 + 8*w + 1) to a*w**3 + h + x*w**4 + n*w**2 + q*w and give x.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, g: 1, u: 4, e: 1}. What is prob of sequence uevv?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/36)\/((-9)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 3\/23452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273, 243, 193, 123, 33, -77?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 64*v**2 - 2*v - 118*v**2 + 3*v + 53*v**2. Let x(q) be the first derivative of -2 - q - 5\/2*q**2 + 2\/3*q**3. Give -3*s(w) - x(w).\nAnswer: w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -2\/45, 2, -270?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o - 9*o**2 - 15*o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 4*r**2 - 7*r - 8 + 8 to the form i*r**2 + k*r + h and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54137 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11953841 take away -763555.3?\nAnswer: -11190285.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*i - 14284 = 0, -18*m + 22*m = -2*i + 28618. List the prime factors of m.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 10. Suppose 0*h + q = h. Suppose 4*c - 6*c - 4 = 4*u, 4*c = 5*u + h. Sort c, -4, -5 in descending order.\nAnswer: c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 13. Calculate the common denominator of -73\/8 and a\/(-14) - (-9)\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 - 4)*(1 - 4 + 1)*(-4*s + 4*s - s**3).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 9003958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 147, 134, 115, 90, 59?\n\"Answer: -3*a**2 - 4*a + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 56124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**4\/8 + 26*n**2 + 60. Let l(t) = 5222*t. Calculate s(l(v)).\nAnswer: 15666*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.207999823 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 90505 (b) -0.1 (c) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 18, 0.1, 7654, -1\/8?\nAnswer: 7654","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - 5*b - 33 - 2*b**2 + 9*b + 2*b.\nAnswer: -2*b**2 + 13*b - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 39*x**2 - 19. Let g(r) be the first derivative of r**2\/2 + 719. What is g(w(f))?\nAnswer: 39*f**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/6*(42 + 10602\/(-252)). Let k = -4.3 - -0.3. What is the second smallest value in -1\/3, d, k, -2\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 177*j + 175*j - 0 + 9, 3*v - 2*j + 6*j = 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 899900 = 0. Suppose -3*j = 2*j + 4*p + q, 4*j + p + 143995 = 0. What is j rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 2, -2 in increasing order.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*x = -405 - 384, -f + 151 = 4*x. Is f a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14568831 divided by -1618759\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 402656.796 to the nearest ten.\nAnswer: 402660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 9:11 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 10*h + 12*h. Suppose -11*d + 6*d + h*n = -44370, -3*d + 4*n + 26617 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = 3*f - 38, -78*q = -81*q + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 84 = -135. Let p = j - 36. Suppose 5*d + 2*t + 11 - p = 0, 5*d + 3*t = 24. Calculate the remainder when 38 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -49*m**3\/3 + 4999. Let l(a) = -20*a**2 - 8. Let s(p) = 13*p**2 + 5. Let k(h) = 5*l(h) + 8*s(h). Determine d(k(u)).\nAnswer: -784*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1819.6 - 1303. Let o = w - 517. Which is the smallest value? (a) -0.3 (b) 0.01 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/8 (b) 186 (c) -4\/19 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 729 and 214191?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**3 + 84*g - 51*g - 33*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 8*z - 5. Let k = -9 - -8. Let d be k*(3 - -1) - 2. Is x(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0*(5\/(-15))\/(-1))\/(-1 + -1). Suppose 3*y + 4 - 19 = 0. Let i = y + -2. Solve h = -l + 4*s + 16, -l - l = -i*s - 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -438.8 + 490. Let c = -103.6 + z. Let y = c + -5.8. Round y to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/9 - 12*z + 110\/9.\nAnswer: -2*(z - 1)*(z + 55)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 11*b**7\/210 - b**3\/3 - 2*b**2. What is the derivative of y(c) wrt c?\nAnswer: 44*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5968 (base 12) to base 3.\nAnswer: 111201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - -8) + 15 + -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2. Suppose 6 = -3*n + 18. Let q = 9 - n. Let h(w) = 4*w + q - 5. Give p(h(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7*-5*(-3)\/(9 + 6). Sort 0.5, -1, r, -1\/7 in decreasing order.\nAnswer: 0.5, -1\/7, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*a + 51*a - 2*x = 23, 36 = 4*a - 4*x. Suppose -4*w - 4 = 0, a*h = w - 3*w + 7053. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14857410 + -6?\nAnswer: -14857416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/23 (b) -1\/13 (c) 1\/31 (d) 40 (e) -2\/3 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -246 - -58. Let k = -287 - x. Is k greater than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -548 - -549. Let t be (-54)\/(-76) + 1\/(-1). Let x = -1\/266 - t. Which is the biggest value? (a) x (b) -1\/8 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-17)*d)\/(d*d**3*d) assuming d is positive.\nAnswer: d**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26674?\nAnswer: 2, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -19*f**2 - 43*f - 9. Let x(d) = 18*d**2 + 46*d + 8. Let u(z) = 4*j(z) + 3*x(z). Solve u(q) = 0 for q.\nAnswer: -1, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.755 + -13.755. Let w = -4.5 + 4.5. What is the nearest to w in -5\/4, y, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-3) + (-4)\/3. Suppose 5*q - 35 = -m*q. Solve -q*p = -3*p - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {v: 4, j: 1, h: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -56, 2.1, -2\/105?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 489918 = -15*l. Let m = l + -1291178897\/5271. Let j = -511447\/105420 - m. Find the common denominator of 23\/6 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 - 2 - -1) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -571, -1084, -2061, -3652?\nAnswer: -6007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/15)*d**(-1\/2))\/(d\/d**10*d\/d**(-6\/5)))**(-25) assuming d is positive.\nAnswer: d**(-905\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:27 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1374 and -0.0458?\nAnswer: 1373.9542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*f**2 - 1 - 5*f**4 - 2*f + 2 + 6*f as d*f**3 + x*f**4 + u*f + s + o*f**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22998307751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 538 (base 11) to base 3\nAnswer: 212221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -247466 (base 9) to base 16.\nAnswer: -24945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49381, -98633, -147729, -196669, -245453, -294081?\n\"Answer: 78*v**2 - 49486*v + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3181 is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4728 and 3048.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2. Let a(o) = -o - 1. Let p(u) be the first derivative of 7*u**2\/2 + 6*u + 7. Let r(g) = 6*a(g) + p(g). Give q(r(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from oololoooo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*b + 73*b + 73*b + 17 in the form g*b + y and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.031 + -21.031. Let s = p + 16. Put 0.4, -1\/2, s in increasing order.\nAnswer: s, -1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 4*f**2 - f**3 + 7*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5681 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from qqqtqtqkkktqtqqq.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -5*q + 29497, 4*p - 6976 - 22512 = 4*q. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 69 - 285. What is the greatest common factor of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g\/(g**1*g)))\/g)\/g)**(30\/11))**(7\/5)\/((g\/(g*g**(-2)))\/(g*g**(-2\/3)))**23 assuming g is positive.\nAnswer: g**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 429 and 35193741?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*g**2 + 83*g**2 + 85*g**2 + 34*g**2 - 24*g**2 + 428*g**3 + 16*g**4 = 0 for g.\nAnswer: -26, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.7 - -5.7. Let m = -0.1 + 0.15. What is the second smallest value in 1\/2, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -14. Let p(w) = -3*w - 147 - 160*w**2 + 143 - 4*w. Let l be p(i). Round l to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 37. Let x be r(18). Solve -16 = -q + 4*n, -x = 5*q - 2*n - 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11415 to three decimal places.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (7 + 7 + -17). Let s(u) be the first derivative of u + 0*u**k - 3\/2*u**4 - 6 + 0*u**3. Find the first derivative of s(l) wrt l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -13. Suppose m + 73 = 5*y - 8, 2*y = -a*m - 174. What is the units digit of m\/(-18) + 4\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 0.0001532.\nAnswer: 0, 0.0001532, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 10:41 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in 0, -0.042, 9, -0.2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 16 = -2*i. Suppose -i*r = 4*r - 24. Suppose 0 + 9 = r*d. Put d, 2, -2 in ascending order.\nAnswer: -2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -23 + 11. Suppose -10*c = -9*c - a. Suppose 2*h = -3*s + 14, 3*s - 20 + c = -5*h. Solve 4*b - h - 11 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 1680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4186554862.\nAnswer: 2, 7, 331, 903443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-139)\/(-1112))\/((-42)\/(-16)).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l**2 + 4*l - 4. Let s(w) = -39*w**2 + 15*w - 15. Determine -15*a(d) + 4*s(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -116857 minus -0.0416?\nAnswer: -116856.9584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*w - 10260 = 49*w - 115*w - 57*w for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 48. Calculate f(-26).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1488119\/17219580 + 3\/117140. Find the common denominator of v and 11\/35.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -125*s + 6098. Calculate p(39).\nAnswer: 1223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 699448 and 1251?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.9, -2\/7, 5?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + b = -25, 3*b + 15 = -0. Suppose 0 = -p - f*p + 90. Suppose 4 = -o + p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -4) + (-9 - -13)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 700 = -o. Let j(x) = 26*x - 1. Let d be j(1). Let l = o - d. Solve -12 = -6*w + l*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 103452, -3, 0 in increasing order.\nAnswer: -3, 0, 103452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185 - 313. Let v be (-7500)\/(516\/f - -4). Round v to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -60*w - 87. What is the units digit of l(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/17, -0.3, -12\/5, 1\/9, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - 4.6. Let r = 123.1 - 118. Let z = d + r. What is the second biggest value in -4, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*w - 157 = -605 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g\/(g**(1\/2)\/g))\/g*g)**(-20))**(-37)*(g**(-2\/5))**(-1\/16)*g**3\/g**(-3) assuming g is positive.\nAnswer: g**(103841\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**3 + 39*r**3 + 4*r - 4*r - r in the form x*r**2 + p*r + v + k*r**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 - (332\/(-23406) + (-23961)\/(-9306))?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -0.2, 27, 3.\nAnswer: -0.2, 0.03, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**3 + 31*m**2*n + 11*m - 1293*n wrt m.\nAnswer: 6*m**2 + 62*m*n + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 7*o**4\/4 + 4*o**3\/3 - 1. What is the third derivative of x(d) wrt d?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 19 - 47 - 100*f + 30.\nAnswer: -100*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 83140?\nAnswer: -83134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6\/9*22\/(-44) - (-44762)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 16067?\nAnswer: -1606a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 13 + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3.45, 11, -1\/4, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1830 and 97\/880?\nAnswer: 161040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 (base 13) in base 7?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 255\/70*2 + 3\/(-2). Let w(j) be the first derivative of -40\/7*j**2 - 78\/7*j**3 - 3 - g*j**4 - 8\/7*j. Factor w(b).\nAnswer: -2*(b + 1)*(9*b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x - 27*x = -285572. Which is smaller: 6079 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 24. Let f be y(-10). Find the common denominator of 17\/24 and 161\/21 + f + 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 6*x**2 - 10*x + 15. Let h(t) = -t**3 + 5*t**2 - 8*t + 8. Let m be h(4). What is the remainder when f(8) is divided by m*((0 - 2) + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3\/r)**6*r**10*r*r*r*r*r\/r**(1\/9))**(-2\/9) assuming r is positive.\nAnswer: r**(-484\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(175) + -1) + 4 + sqrt(175) + sqrt(175)*-2 + (-4 + (sqrt(175) - 2*sqrt(175)) + sqrt(175))*5 + -2)**2*-6.\nAnswer: -19974 + 5520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, 2\/4531, 78, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/75))**(-7\/3))**(-1\/18) assuming c is positive.\nAnswer: c**(7\/2025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -4. Let o(j) = -11*j**3 + s*j**2 + 5*j - 3 - 7*j**2 - 2. Let z(t) = 30*t**3 - 2*t**2 + 40*t**3 + 2*t - 2 - 75*t**3. Give -2*o(b) + 5*z(b).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from sbebbabt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50004281609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59 - 57a75a?\nAnswer: -57a808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -233 - 1d?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 9*g**2 + 5*g - 6. Let x be c(9). Solve -x*b + 265 = 14*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 284 = -5*l. Let i = l + -28. Suppose 2*h + 0*p + p - i = 0, -2*p = 5*h - 65. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aer when three letters picked without replacement from aerr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, -470, -476, -484, -494, -506?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - f + 44 = 0, 4*a - 22*f + 21*f - 44 = 0. What is the tens digit of 7676\/a + (-112)\/(-616)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**2 + 12 - 25 + 15 as j + p*c**2 + l*c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, q: 4, n: 3}. Give prob of sequence nmqn.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5920 and 3160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 4:59 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 3*w + 45, -3*t = -7*t - 4*w + 44. Differentiate -3 + 3*u**4 + 0*u**4 - t*u**4 wrt u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -418.269 + -0.731. Let w = s - -418.9998278. What is w rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/7)*z)\/z**(-6\/5))**(-2\/65)\/((z**1*z)**21*(z\/z**0)**(-12)) assuming z is positive.\nAnswer: z**(-68394\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2198*z**2 - 3648*z**2 + 1150*z**2 - 2411*z**2 to the form f*z**2 + d*z + q and give f.\nAnswer: -7107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9370 - 3162. Let d = -8922 - o. Suppose 3*q = -4*g + 2893, 2*q + 3*q = -5*g + d. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 6. Suppose -11*q = q - 8580. Let d = -710 + q. Calculate k(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v + 78 = -5*d, 0 = -4*d + 5*v - 36. Let j = -11 - d. Let q(x) = -x - 1. Let s(i) = 6*i. Let p(f) = 4*q(f) + s(f). Determine p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 6:49 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3))\/((-1)\/12). Calculate the common denominator of c\/18 - 80\/9 and -69\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -150504 and -684 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 7 + 7 in the form g + a*z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y - 46. What is w(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**5*s + 355*b**3*s - b**2 + b*s - b - 3*s - 6636 wrt b?\nAnswer: 80*b**3*s + 2130*b*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13796 - 154 = 558*x for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 242, 363, 484, 605, 726?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 j when three letters picked without replacement from ziarjdj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*u - 31. Let q(k) = 194*k + 1803. Let y be q(-9). What is the greatest common factor of u and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8190\/(-21))\/(-13)*(-23)\/46?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 1\/2*h**4 - 8 - h**2 - 4\/3*h**3 + 3*h. Is u(3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212143142 - 11?\nAnswer: 212143131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 + v**4 + 2*v + v**4 - 2*v**3 + 3*v in the form k*v**3 + f*v + i*v**2 + z + a*v**4 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 - 799 - 801 + 9*m + 4*m**2 + m**2 + 2390 - 792 to the form o*m + i*m**2 + n*m**3 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {n: 2, e: 2, p: 1, u: 2, y: 1, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88 + (26 - 73) - 14) + -23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-6))\/((-205)\/984)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 17 = 3*c, c = y - 3*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-4))\/h**5 assuming h is positive.\nAnswer: h**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((-3*sqrt(63))\/sqrt(9) - (sqrt(7) + sqrt(7)*-2 + 2)) + (sqrt(49) + sqrt(49) + -5*sqrt(196))\/sqrt(1008))**2.\nAnswer: 32*sqrt(7)\/3 + 484\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -47 (b) 2 (c) -1 (d) 0.5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.88 + 1.3. Let w = -0.02 + s. Let k = 16 + -16.2. Which is the closest to k? (a) -2\/7 (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000449106 to seven dps.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from fufbuvdd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99.6 - 100. Let f = -0.04 - -0.44. Which is the second biggest value? (a) s (b) -3\/8 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.3 + 26. Let i = v - -0.3. Let r be (-3)\/(-2 - ((-99)\/6 + 1)). What is the smallest value in -1\/3, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29682*d**2*l**2 + 253*d**2*l - 8*d**2 + 3*d*l**2 + 7*d*l + 2*d + 35*l**2 + 1 wrt l?\nAnswer: -59364*d**2 + 6*d + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 b, and 1 k when four letters picked without replacement from {b: 3, k: 5, s: 4}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -379*t**6\/120 + 583*t**4\/12 - 1127*t**2. Find the second derivative of p(u) wrt u.\nAnswer: -2274*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 9*m - 12 = -8*m, 4*i = 5*m - 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.573575 to 1 dp.\nAnswer: -25.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 e, and 2 v when four letters picked without replacement from vvnxxvnqnvxex?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*o - 2230, -5*o - 99*p = -100*p - 2222. What are the prime factors of o?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Let t be (-1)\/(8\/(-3) - -3). Let d = -0.6 - -2.6. Which is the nearest to -0.2? (a) d (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1242*-0.4.\nAnswer: -0.04968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*o - 33, -120*r + 588 = 3*o - 2895 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/11313349 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5017, -5030, -5057, -5104, -5177?\n\"Answer: -m**3 - m**2 - 3*m - 5012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1889*u - 1866*u - 207 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**4\/2 - 23*r + 3. Let g(m) = 19*m**2 + 2. What is g(d(u))?\nAnswer: 684*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 217403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5\/19 + 450*i**4\/19 + 16016*i**3\/19 + 105480*i**2\/19 - 56800*i\/19 = 0. Calculate i.\nAnswer: -20, -10, 0, 1\/2, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i**2. Let w(b) = b**3 + 35*b**2 - 30*b + 9. Let s be w(-26). Let a(l) = -9*l + s - 6873. Calculate g(a(h)).\nAnswer: 648*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -6.6. Let d = y + 0. Let f = d + 1.2. Which is smaller: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1726*s = 1170*s + 419860 - 431444 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*s - 108, 4*s + 2*v - 5*v = -202. Let x = 34 - s. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01945 less than 2392?\nAnswer: 2391.98055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -92, -375, -846, -1505, -2352, -3387?\n\"Answer: -94*x**2 - x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/4960935 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4619 is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/(d\/d**1*d))\/d*d*d*d**(-30))**(2\/29) assuming d is positive.\nAnswer: d**(-56\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 7. Let h = -3488 - -3478. Determine u(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 5:51 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3.4703, -0.3, 3 in increasing order.\nAnswer: -3, -0.3, 3, 3.4703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -2*g - 20, 59 = 4*t - g. Let i(m) = m**3 - 41*m**2 - 2*m + 85. Let d be i(41). Solve o + d*b + 2*b = 18, 2*b - t = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -16 (b) -11 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 216.5 + -216.493512. Round p to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (32 - 27 - -7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2056, 10, 1\/7.\nAnswer: 1\/7, 10, 2056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(0 - 2 + 0)*(2 + 2*j - 2).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4108056.\nAnswer: 2, 3, 171169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - v + 4*d - 47, -4*v = d - 41. Let q be -486*(-9 - (-364)\/42). Suppose v*p = 3*p + q. What is the highest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 3 - 3 + (-1 + 3 + 1)*(9 - 9 - 5)*(-134*j - 284*j + 30*j) to the form p + c*j and give c.\nAnswer: 5819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11642 - -11642.1. What is the smallest value in 2\/5, -4, -2, g, -2\/97?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 187\/(-5) - 16\/(-10)*1446\/(-3856)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-7))\/(-3*65\/15)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, v: 3}. What is prob of picking 1 v and 3 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9 at most as big as -1.4792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -161*q**2 + 22*q - 21. Give v(1).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51, -59, -67, -75, -83?\n\"Answer: -8*l - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 470022 divided by 21.\nAnswer: 22382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-16)*(0 - -8). Let c be y\/(-2) - (-3386)\/2. What is c rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*l**2 - 244*l - 6 = 0.\nAnswer: -1, -3\/119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4\/121, -5 in ascending order.\nAnswer: -9, -5, -4\/121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a = 35*a - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238\/5 - 48. Which is the third biggest value? (a) 3 (b) o (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*b - 1311 = 2*j, 4*j = b - 1733. Let k = -225 - j. Calculate the greatest common factor of k and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from {m: 7, e: 9}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**3 - 9*b**2 + 13*b + 11. Let a(n) be the first derivative of n**4\/2 - 5*n**3\/3 + 7*n**2\/2 + 6*n - 556. Calculate 11*a(i) - 6*h(i).\nAnswer: -2*i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 112*u - 832.\nAnswer: -(u + 8)*(u + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 84\/35*30\/8. Is 1878 + (4 - ((1 - 2) + c)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12445 + 12445.50708. Round c to two decimal places.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -341 + 345. What is the smallest common multiple of 48 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 5*r + 7. Let j(p) = -p**2 + p + 1. Determine -i(h) + 5*j(h).\nAnswer: -8*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*a = a - 312, -a - 1 = 0. Does 22 divide l + 8*(-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -99*m**2 + 989*m + 10. Let t be c(10). Sort 5, t, 2, -4 in ascending order.\nAnswer: -4, t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*m + 177*m - 38 + 10 = -2*l, l + 4*m = 28 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.02, 0.1, -43, -0.00428, 0.001?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 + 128910*d + 35170200 = 0 for d.\nAnswer: -270, 26052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.094 or 25858?\nAnswer: 25858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*l - 494 - 61, -4*l = 4*g - 556. What is the lowest common multiple of 414 and l?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1490 - -548. Let q = -1732 - n. What is q rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n**3 + 4*n**2 + 4*n + 3. Let a be q(-3). What is the highest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 12. Suppose -o + 5 = 4*h, 5 = -3*o + 8*o. Calculate the smallest common multiple of n(-8) and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-238)\/3944*-29)\/((-49)\/(-1624))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -172169 and -35199.\nAnswer: -207368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w - 5*w + 27 - w - 11*w. Let a be n(1). Solve i - v + a = -0*v, 0 = -5*v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, g: 5, z: 8}. What is prob of sequence zz?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -381 - -ae?\nAnswer: -2d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4 = 7*f - 3*z + 48, f = 4*z - 52 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -22?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 2 + -2 - 4. Let y be (1 - p)*13\/(-65). Is y at most as big as -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*2\/2*2\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 2 = -g. What is the remainder when 34 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 162.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(25\/200*4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 525276.1 and 1967.\nAnswer: 527243.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 133\/245 - (-10)\/(-25). Which is the closest to h? (a) -2\/11 (b) 3 (c) 4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, -39, -118, -185?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, f: 16}. What is prob of sequence fy?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/2 - -5\/4. What is the second smallest value in -3\/4, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 163*f - 46. Let o be i(-3). Let p = -542 - o. Let g(x) = x + 6. Calculate g(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 3 - (-2)\/2. Let k = 0 - -0.1. Suppose -26*v + 30 = -56*v. What is the nearest to v in 2\/5, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6026, -12084, -18142, -24200, -30258?\n\"Answer: -6058*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 714049831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:05 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6298*l**2 + 1. Let n be x(-1). Suppose -4*b - 703 + n = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 3*g + 9. Let l = -76 - -76. What is the units digit of k(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1369782, -1369783, -1369784, -1369785, -1369786, -1369787?\nAnswer: -1369788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 14 - 6 = 0. Suppose -2 = -h + x. Suppose -24 = -h*c - v, 16 = 5*v - v. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -8*d**2 + 268*d - 190. Calculate the remainder when o(27) is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -429 divided by -11?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -156 divided by -13?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)\/(b**2\/b))**(-2\/33) assuming b is positive.\nAnswer: b**(20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -47.14.\nAnswer: 18.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + -9)*1*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*k + 4*d, -k - d + 3 = 1. Let b = 7 + -5. Differentiate 2 - 2*u**4 + b*u - k*u with respect to u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 0 + 4*p + 17*p + 3*p + 1 + 4*p**4 - 9*p**2 + p**3. Let a(n) = -n**4 - n**3 - n. Let x(b) = a(b) + q(b). What is the second derivative of x(z) wrt z?\nAnswer: 36*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1322890313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -241.38 + -506.202685.\nAnswer: -747.582685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7803*q**4\/5 - 889866156*q**3\/5 - 407129424*q**2\/5 - 58845648*q\/5 - 2737008\/5 = 0 for q.\nAnswer: -2\/9, -2\/17, 114042","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 36*h + 12*h + 18*h)*(49*h - 100*h + 53*h) to the form b*h + r*h**2 + d and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 8 + 20 = 0. Suppose q*p - 25 = p. Solve 5*c = -3*t - 10, -1 - p = 3*c - 3*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e4 (base 15) in base 6?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10426 (base 11) to base 5.\nAnswer: 441103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 88. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 45\/2 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 0.7, -3\/11, 1\/2, -3\/2, 28.4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758 = -2*s - 4*a, -2*a - 1610 = -5*s + 297. Let g = 580 + -580. Suppose -3*m = -g*m - s. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5199, -5245, -5315, -5403, -5503?\n\"Answer: u**3 - 18*u**2 + u - 5183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 12*v**2 - 22*v - 9. Let o be t(5). Suppose -o = -31*r + 3*r. Factor -9\/2 + 3\/2*k**3 + 21\/2*k - 15\/2*k**r.\nAnswer: 3*(k - 3)*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - t = 9, 4*r - 5*t - 30 = -r. Let s = -15 - -15. Solve s = x - r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -7.4?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/20 - (-14)\/8. Suppose -a*l = -7*l. Suppose l = 3*x - x - 50. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0*y + 2\/3*y**3 + 0 + 7\/15*y**5 - 23*y**2 + 2\/105*y**7 - 3\/4*y**4 - 3\/20*y**6. Factor m(u).\nAnswer: 2*(u - 2)*(u - 1)**2*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13426302.0055 + 13404800. Let g = -21495 - h. Let b = g + -7. Round b to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 99 = -t. Suppose -r - 5*c + t = 0, -6*r + 426 = -r + 2*c. Suppose -3*j = j - r. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7*o + 5. Let u(j) = -j**3 + 4*j**2 - 7*j + 26. Let v be u(4). Determine m(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) + sqrt(228)*1 - sqrt(228))*-1)\/(-1*sqrt(1200)) - ((-6*(1 + -1*sqrt(19) + sqrt(19)))**2 + 0))*-2.\nAnswer: 2*sqrt(19)\/5 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -23.7 (b) -2 (c) -1\/10 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 5940*i + 11888.\nAnswer: -2*(i - 2972)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-192)\/(-480) - (23\/(-5) + 1). Suppose -l*i - 103*g = -106*g - 16385, 3*i - 4*g - 12287 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63 - 77) + 30\/5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**5\/9 + 2482*z**4\/9 + 17456*z**3\/9 + 20000*z**2\/9 - 13312*z\/3 = 0. What is z?\nAnswer: -4, 0, 1, 1248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) 59\/5 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.3, -2\/5, 14, 1213, -10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**2 - 9\/8*p**4 + 0*p - 39\/20*p**5 - 11\/8*p**6 + 0*p**3 - 5\/14*p**7 + 0. Find n such that l(n) = 0.\nAnswer: -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = 2. Let w(s) = -2*s - 1. Let m be w(p). Is 5 a factor of 60\/m*(-6)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1562*z - 783*z = 780*z - 38, -3*k + 64 = -2*z for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/(-90))\/(3\/(-4)*32\/(-180))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 13*b - 12. Give c(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-12 - -22) + 20 + 15.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**4\/12 + x**3 - 464*x**2. Determine w(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1925 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eoeceoennoece. Give prob of sequence oeoe.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(117)*-4 - sqrt(117))\/(-5*sqrt(27)\/sqrt(3)) + -2)**2 + -1.\nAnswer: -84*sqrt(13)\/5 + 5808\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y. Let x(z) = -4*z + 4. Let g(u) = -5*u + 5. Let n(k) = 3*g(k) - 4*x(k). Let t = -5 + 4. Let q(p) = t*r(p) - 6*n(p). Calculate q(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 312, -2, 1, -534.\nAnswer: -534, -2, 1, 6, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -171401?\nAnswer: -171403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -5*j - 2886 + 2841, 0 = -6*j - d - 34 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2862, -0.1, 4, -6, 0, 0.3 in ascending order.\nAnswer: -6, -0.1, 0, 0.2862, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 a, and 2 d when four letters picked without replacement from ahaahhahauhuuadhhda.\nAnswer: 49\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, -98, -8, -4 in decreasing order.\nAnswer: 0.5, 0.2, -4, -8, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11992977 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from neeeynpneeennnpene. What is prob of sequence pny?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 139*l**6\/120 + 16*l**5\/15 + 3*l**2 + 5*l. Find the third derivative of b(v) wrt v.\nAnswer: 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 9. Let m = -229 + 225. What is s(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871.\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 f, and 1 c when four letters picked without replacement from {c: 1, f: 5, s: 4, g: 5, r: 5}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -713989*0.77.\nAnswer: -549771.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29351851 is divided by 3898?\nAnswer: 3809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111 - 11110?\nAnswer: -1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (1 - (6 + -2)) + 239 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 6. Let f(l) = -2*l + 5. Let t be f(4). Let a be v(t). Sort -0.04, -2\/11, a.\nAnswer: -2\/11, -0.04, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -9. Let a be k\/12 - (-4)\/16. Put a, -5, -3, -8 in descending order.\nAnswer: a, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h. Let y be r(-2). Suppose -130 = -y*a + 3*a. What is the remainder when a is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + (30 + -5 + 2 - (118 + -95)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2597 * -4\nAnswer: -10388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + b - 1 = -25, -b = -5*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjpj when four letters picked without replacement from jpjjjp?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 20. Let q = 12 - 6. What is the least common multiple of u and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(2 - 4\/3). Let f = 47 + -33. Suppose -4*o = -8*o - 20, c*h + 2*o - f = 0. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -39 + -31 + -90 + 53.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 b, 1 o, and 1 p when four letters picked without replacement from lpbpipolpo.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*z**4 + 40*z**3 + 10*z**2 - 2*z**2 + 43*z**4 = 0. Calculate z.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449136211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 10 = 2*x. Suppose 2*t + 1 = x. Calculate the highest common divisor of 14 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 131*b**2 - 29*b + 284. What is the tens digit of x(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**2 - 5*y + 5. Let n = -500 + 486. Let m(c) = -12*c**2 + 14*c - 14. Suppose -5 = d - 3*h, 2*d + h + 20 = -2*d. Determine d*m(f) + n*j(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let o = 42 - 42. Let z be 1 - o - 0\/1. Put z, w, 0.1 in descending order.\nAnswer: z, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42255 is divided by 1242.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 53 - 5. Calculate the common denominator of 47\/8 and 2 - (0 + 0) - (-14)\/x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22489 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 2*k - 8. Let r be z(-7). What is the units digit of (-16)\/4*r\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from hinnsnyynhsnynffyhny.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39110*h*r**5 - h*r**3*s**3 + 12578*h*r - 5*h*s**3 wrt r.\nAnswer: -782200*h*r**3 - 6*h*r*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0)*1*(4 - -2). Let a(m) = -m**2 - 13*m - 2. Let q(w) = -w**2 - 12*w - 2. Let j(y) = -4*a(y) + 5*q(y). Give j(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 = 3*d, 16 = 10*o - 6*o. Suppose -2*s = -3*p - 8, 4*s + d = p + 18. What is the units digit of 1286\/5 - (-2)\/(-10 + p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-110)\/(-68))\/(1*-6). Let z = k - -1\/51. Let t = -3.97 + -0.03. What is the third biggest value in t, z, -1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-98448)\/(-88))\/((-18)\/(-198))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 1:02 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -149*s**3 - 22*s**2 - 119*s + 4. Is m(-6) a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24765 is divided by 259?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27087359 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*r - o, 6*r - 3*r - 13 = o. Suppose 0 = r*c - w - 0*w - 50, 0 = -2*w. Suppose 0*z - 25 = -5*z. What is the highest common factor of z and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*c - 149*c - 15*c to p*c + h and give p.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 31*w**5\/30 + 23*w**4\/12 + 12*w**2. Find the second derivative of i(f) wrt f.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -115, 5 in descending order.\nAnswer: 5, -1, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from huhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101 + -10022220?\nAnswer: -10101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.3, 15, 2 in decreasing order.\nAnswer: 15, 2, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 4. Let a be d(3). Suppose 4*v - 4*f = 60, 67 = 7*v - a*v - f. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3273964357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1830.45 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/4 (b) 4\/3 (c) 2 (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -1 (c) -12 (d) -10 (e) 4 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/8*d**2 + 180625\/8 + 425\/4*d.\nAnswer: (d + 425)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 3) to base 12.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k - 2. Give j(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2259433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2545*m + 5095. Let u be a(2). Solve -99 = u*d - 89 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16016 and 1729?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 289*y**2 - 618*y - 10457. Give g(-291).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x**2 - x + (-4 + 4 + 2)*(0*x**2 - x**2 - x**2) - 2 + 2 - 12*x**2.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 8*b + 21. Suppose 41 - 104 = -7*c. What is v(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.1227495 to 1 decimal place.\nAnswer: -30.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -101011330?\nAnswer: -101011323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Suppose -89 = -u*x - 2*l, x - 3*l = 4*x - 87. What is the remainder when x is divided by 37 - (9 - (-30 + 19))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 18. What is w(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3987020 divided by -12820.\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 35 = -4*n, 79*n + 15 = 83*n + 5*p. Solve -3*j + 4*o = -8 + n, -2*j = -2*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66)\/330*15\/6)\/((-1)\/26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291622288 divided by 72905572.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -240?\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 13*z - 5. Let q(x) = -32*x + 12. Let r(u) = 5*q(u) + 12*w(u). Let f(g) = -g - 5. Let j be f(5). Let d(o) = -7*o. Calculate j*r(l) + 6*d(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3950*c**3 + 4*c - 101*c**2 + 3952*c**3 - 4*c - 220*c**2 - 4*c to g*c**3 + u*c + j*c**2 + v and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*d + 47*d + 0*d**2 - 2*d**2 - 145*d + 49*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212075 divided by -85.\nAnswer: -2495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13\/53 + -3101\/106. Calculate the common denominator of -13\/67 and n.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/10 + g**4\/4 - 21*g**2. What is the second derivative of d(v) wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/18 and 23\/92664.\nAnswer: 92664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 78387684 a multiple of 1456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 5*n**2 + 6*n**2 + (-3*n - 3*n + 4*n)*(-2*n + n + 0*n))*(3*n + 2*n - 3*n).\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7)\/p)**(1\/3)\/(p*p**(-1\/3))**(7\/8) assuming p is positive.\nAnswer: p**(-85\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(4\/7)\/(i*i**(-2\/19)))\/(i**0\/(((i**(1\/11)\/i)\/i*i)\/i*i*i)) assuming i is positive.\nAnswer: i**(-340\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(133)\/(sqrt(28)\/sqrt(4) + sqrt(7)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 4*p**2 + p - 1. Calculate a(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -41*u**2 + 161*u. Let a(t) = -15*t**2 + 54*t. Let d(s) = 11*a(s) - 4*x(s). What is the units digit of d(-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10446572.\nAnswer: 2, 2611643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -504.2038916 to one decimal place.\nAnswer: -504.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((sqrt(5) - sqrt(15)\/sqrt(3)) + sqrt(5)))**2 + (-4*sqrt(605) - sqrt(5)))*1.\nAnswer: -45*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -400.09976952 + 1.09978752. Let a = s - -399. Round a to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23039 + 7705. Let x = q + 8464. What is x rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 - 1 = 0. Let m(l) = 2*l**i - 5*l**2 - 4*l**3 + 3*l - 1 + 3*l**3 + 2. Calculate the least common multiple of m(5) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2)*-1)\/((-74)\/(-592)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152\/240)\/(28792\/34404) + 3\/(-4).\nAnswer: 2\/295","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126621, 253237, 379851, 506463, 633073, 759681?\nAnswer: 886287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -6, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**7\/42 + b**6\/24 + 12*b**2. Find n, given that m(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*-13*(-10)\/130.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 8. Let p be w(-10). Suppose 20 = -0*v + 2*v. Calculate the remainder when (-58)\/(p*(1 - 2)) is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from lyyy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10006, 20025, 30050, 40075, 50094, 60101, 70090?\n\"Answer: -n**3 + 9*n**2 + 9999*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 1212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -241590000 by 24.\nAnswer: -10066250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 2 (b) -0.2 (c) -9\/17 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 9 - 5)*(3 + 0*c - c - 4)*(-1140*c + 1140*c + 362*c**2).\nAnswer: -3258*c**3 - 3258*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 398973792 to the power of 1\/2, to the nearest integer?\nAnswer: 19974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3544 rounded to one dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*n = -6, 3*n + n = 20. Is (60\/90)\/(i*(-2)\/804) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6773021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u - 45 = 0. Suppose -3*p = -8*p - k + 115, 0 = 2*k. Let i = -19 + p. Solve -i*a = -29 + u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**3 - 3*v**2 - 6*v - 8. Let u(j) = -j**3 - j**2 - 2*j. Suppose 4 = 3*f - 4*b - 13, 0 = -5*f + 4*b + 15. Let k(h) = f*c(h) + 6*u(h). Factor k(q).\nAnswer: (q - 4)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 3 - -4 - (-2 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 42536507?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x + 5. Let f(s) = 2 - 5*s**3 + 2 + 4*s - 2*s**3 + 6*s**3. Let q(l) = 5*f(l) - 4*t(l). Find the second derivative of q(k) wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -10*b - 3*v + 567, -4*v = -3*b + 825. What are the prime factors of b?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 8 = -0*o. Is 6 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -26*r**2 + 2. Let b(j) = 4*j. Give b(p(n)).\nAnswer: -104*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125 and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*p = p - 4, -r - 10 = 4*p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2385010211?\nAnswer: 2385010211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*l + 4*o, l - 8*o = -3*o - 23. Let f(i) = i + 5. Let p be f(l). Let g = 20 - 15. Are p and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r + 3. Let m(s) = -12*s - 8. Let z(y) = -7*c(y) - 2*m(y). What are the prime factors of z(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d9a5 (base 15) in base 6?\nAnswer: 553115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 542090 - 16269629\/30. Let o = r - -231. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 66?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/9)*x)\/x)**(23\/2)\/(x**(3\/2))**(-6) assuming x is positive.\nAnswer: x**(58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**3*p**3*w**2 - 3*o**3*w**2 + 9*o**3*w - o**2*p**2*w - 274*p**3*w**2 wrt p?\nAnswer: -6*o**3*w**2 - 1644*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + m - 3*m + 4, -3*m = -12. Let q(d) = -2*d - 1. Let j be q(-2). Suppose -f = -j*f + c. Solve -3*u + 5*u = -4*w + 20, f*u = 3*w - 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1910 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + -29 - (-1 + 1). Suppose l = 4*l - 135. Let a = l + d. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -144 + 146. Let g(m) be the first derivative of 0*m - 1\/3*m**3 + 1\/2*m**f + 2. What is g(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b73 - -40ee?\nAnswer: 347b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1127, 1094, 1061, 1028?\nAnswer: 995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x - 38. Let v be p(-8). Suppose 4*g = 0, 3*a - 27 = v*a + g. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 22304 = 40*s. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/68 + 38\/(-56). Let w = -0.069 - -0.069. Which is the closest to w? (a) -0.2 (b) -2\/29 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254 + 304 = 212*i - 174*i for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 62.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. What is the closest to -2 in -0.05, t, 2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = q + 44618, 4*h - 3*q = -2*q + 35695. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 57.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -147*y**2 - y. Let p(x) = 2*x. What is p(b(s))?\nAnswer: -294*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2880) - sqrt(2880) - -2*1*sqrt(405))**2.\nAnswer: 21780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 18 = -4*m. Let i = 19 - 12. Let a be m\/21 + 30\/i. Solve -u + 0 = -a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 3, w: 1}. Give prob of picking 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 386734*m**6 - 762744*m**2.\nAnswer: 46408080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 28\/12 + (-8)\/(-12). Solve -b + 20 = g*n, -2*b + 3 = -7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 12 and 36907\/3273 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -22, 2, -1, -5, 0.4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*v - 5 + 25 = 0, -v = 0. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/3, -30, -0.4, -1\/2 in descending order.\nAnswer: 0.5, -0.4, -1\/2, -2\/3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 147, 156, 171, 192?\n\"Answer: 3*m**2 + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 1253 = -504. List the prime factors of x.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 137\/411*1\/4*3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 159\/(-55))\/((-4)\/230). Is s less than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3011 + 18915 = 112*z. Calculate the remainder when 2850 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11835*q - 57359 = 11794*q. What is the remainder when q is divided by 140?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -135 + 167. What is the tens digit of -20*4\/(n\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 102113.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*m + 0 + 0)*(m + m + 0*m) + m**2 - 2*m**2 + 3*m**2)*((1 - 1 - 3*m**2)*(2 - 3 + 2) + 0*m + 2*m**2 + 0*m)*(-m - 2*m + m).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.139 * -24144\nAnswer: 3356.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 2. Let z be a(-3). Let h(m) = -m**2. Let i(k) = k**3 - 11*k**2 + 6*k + 3. Let j(o) = 5*h(o) - i(o). What is j(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, h: 1, d: 2, m: 5}. What is prob of picking 1 d and 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.796310874 rounded to 4 decimal places?\nAnswer: -0.7963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 57 = -17*p + 110. Solve -i - p = 3*a, -2*a + 10 = 8*i - 10*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvvvvvvq. Give prob of sequence vqv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 13*i**2 + 11*i - 1. Let z(d) = -17*d - 383. What is the remainder when z(-31) is divided by q(2)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 4*z - 10*z + 8*z**2 + 0*z**2.\nAnswer: 8*z**2 - 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 - (-4 + (6 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*m - 3248 + 1376 = 3690 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -116. Suppose -y = 3 - 7. Let t be 77\/y + (-9)\/o. Solve -4*k = -0*k + t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 102554926, 102554927, 102554928?\n\"Answer: r + 102554925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1301.6 and 0.01.\nAnswer: 13.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2. Let x be z(-2). Suppose 0 = -2*g + 6*g + 3*n - x, -5*g + 21 = 4*n. Let i(y) = 2*y**2 - 3*y + 2. Let d be i(2). Solve 0 = j - d - g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a + 1. Let h(i) = -11*i + 2. Suppose 7*o + 18 = 4*o. Calculate o*h(y) + 13*u(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + 6*-2*sqrt(1584) + 2*-4*(3 + sqrt(1584)*-1))**2.\nAnswer: 2688*sqrt(11) + 26128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -293 and 23896.\nAnswer: 23603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -157, -272, -399, -544, -713, -912, -1147?\n\"Answer: -i**3 - 108*i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, i: 2, y: 1}. Give prob of picking 1 y, 2 i, and 1 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1885, 7583, 17079, 30367, 47441?\n\"Answer: -s**3 + 1905*s**2 - 10*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/10*(16\/(-2))\/24*-10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 578439686, 1156879373, 1735319060?\nAnswer: 2313758747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1424*n - 75 = 1409*n. Solve -80*x = -n*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/3 - 29966*k\/3 + 1286689\/3 = 0.\nAnswer: 43, 29923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 21784 = -v, 0 = -2*j - 5*v + 2*v + 10892. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8) + 9 - 10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -206798.5 to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*i + 8 = 0, i = 4*o - 4*i - 3. Suppose 3*x - o = h + 45, 0 = 5*h - 5. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6aa301 (base 14) in base 8?\nAnswer: 15703535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 21*p**2 - p - 1. Let n be -1 + -1 + 12\/(-3). Let b = n + 5. Is h(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 7*n**2 - 6*n + 4. Let m(k) = 17*k**2 - 13*k + 1. Let z be m(1). Determine j(z).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a century in decades?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -85, -281, -583, -997, -1529?\n\"Answer: -p**3 - 47*p**2 - 48*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Collect the terms in 71*i**3 - 18*i**3 - 37*i**3 - 11*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2078 divide 14392228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (192\/4 - -8 - -3)\/(1\/3). Calculate the greatest common factor of 13393 and z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-2 - -2)) + -26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 8:32 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4089 + 5837. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -700.2 - -700.4. What is the nearest to -7 in q, 0.3, 0.4, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -0.5. Let r = 3.5 + c. Let v = -5 + 10. What is the smallest value in -3, v, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1277 - -1276.99999001. What is y rounded to seven dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1163217*u**5 + 838673*u**2?\nAnswer: 69793020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45099, -180470, -406111, -722022, -1128203, -1624654?\nAnswer: -2211375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-901)\/(-34) + -18 - 9. Sort -4, -2, 60, a in descending order.\nAnswer: 60, a, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 33. Suppose -4*u + 24 = b - m, 3*u + 2*b = 43. Suppose -8*p + u*p = 18. Solve 4*z + 14 = -p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bcz when three letters picked without replacement from rxrbccxz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -539*r**3 + 5*r**2\/2 + 64*r + 4040. Find the second derivative of h(m) wrt m.\nAnswer: -3234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, c: 4, m: 2, u: 3}. Give prob of sequence cm.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/17, -0.7, 3, -1\/28, -8\/5?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/(-765) + ((-20)\/42 - (-2)\/14)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.8 times 9.4?\nAnswer: -110.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4324 (b) -1\/447 (c) -1\/2 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 145*a**3 + 965*a**2 - 1425*a - 2250.\nAnswer: 5*(a - 2)*(a + 1)*(a + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 313962930.4 rounded to the nearest one million?\nAnswer: 314000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2043 - -2043.04. Is g less than -1\/108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(sqrt(1872) + sqrt(1872)*-2 + sqrt(208) + -3).\nAnswer: 60 + 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/63 - 197\/252. Let r = 1520 + -312. Let v = r - 1194. Which is the third smallest value? (a) v (b) 1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*j - 477 + 396. Solve j*p + 6 = 2*g, 3*p - 14*g + 15 = -9*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r = -139*r + 712 + 88 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11114322 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335*f = -5*f - 10230. What is the lowest common multiple of f and 143?\nAnswer: 4433","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g + 10. Let i(p) = p + 2. Let t(d) = d**3 - 4*d**2 - 2*d - 9. Let c be t(5). Suppose -4 = -v - c. Give v*l(a) + 11*i(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3959*r + 40 = -3960*r - 7*p, -2*r - 5*p - 53 = 0 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 139734*u.\nAnswer: -2*u*(u - 69867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - k**2 + 12. Calculate the least common multiple of ((-54)\/(-10))\/((-38)\/(-380)) and p(0).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*z + 15, 3 = t - 7*z + 9*z. Let y be t*1 - (-60)\/16. Suppose -5*q = -2*q. Which is the closest to 4? (a) q (b) y (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36022*-5.\nAnswer: 180110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9884352 and 1536.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 82400*u**2 + 15920805*u.\nAnswer: -5*u*(u - 16671)*(u + 191)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 - -80. Let v(l) = -3*l + 1 + 0*l + 1 - 5*l. Let j be v(r). Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -29*r - 1034. Let y be n(-36). Which is the biggest value? (a) y (b) -1 (c) 8\/19 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 + 3*j**4 - j**4 + (-74*j + 74*j - 25*j**3)*(-3 + 2*j + 3).\nAnswer: -47*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1060*o**2 + 1058*o + 2.\nAnswer: -2*(o - 1)*(530*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1164*v**2 - 4*v - 52. Let z(s) = 388*s**2 - 2*s - 17. Let c(u) = 6*q(u) - 17*z(u). Is c(5) 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 -101, -95, -79, -47, 7, 89?\nAnswer: 205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000113587 rounded to seven decimal places?\nAnswer: -0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*u = 52*u - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 276 = -5*m, -3*m + 160 = -0*m - c. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 - -1.43. Let g = -1.50000052 + f. What is g rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692980?\nAnswer: 2, 5, 34649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 - 22?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0 + (3 - 7 + 1)*(0 + 0 - 1) + 10 + 30 + 142)*(3*p**3 + p**3 - p**3) to the form o*p**3 + m*p**2 + z*p + t and give o.\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddiiiididi. What is prob of picking 2 i?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5 - 0. Let d = -268 + 269. Which is the closest to 1? (a) r (b) d (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - h**2 + h**2 + (-1 - 5 - 2)*(3*h**3 - 9*h**3 + 2*h**3))*(33 - 149 + 4).\nAnswer: -3472*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -814 - -882. Calculate the highest common divisor of a and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, 0, -41.5, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5899 + 4?\nAnswer: 589d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**4 - 2*r**4 - 3*r**4 + (9*r**2 - 9*r**2 - 7*r**3)*(-2*r + 3*r + 3*r) + r**4 + r**4 - 4*r**4 to i*r + m*r**4 + c*r**3 + f + d*r**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 3:36 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - c - c = -3334, 0 = -c + 2. Does 23 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y - 21*y = 16 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2914641 is divided by 2504?\nAnswer: 2489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1470.156474 + 1068.15733. Let n = k - -402. Round n to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11869591 and 5633.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -707\/15 - -47. What is the closest to 0.2 in a, 0.5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 - -0.18. Let k = w - 0.5. Let q = 1\/7 + 9\/35. Is k smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = 0, m + 3*w + 7 = 3*m. Calculate the remainder when -39*16\/36*-3 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p - 4. Let f be i(2). Let j = 4 - f. Does 16 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l + 19 + 5. Calculate the highest common divisor of 12 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.3. What is the third biggest value in 3, d, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/3)\/((-7)\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 13) in base 9?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + -5*-2*sqrt(102))\/(sqrt(6) - sqrt(864)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5187 * 24\nAnswer: 124488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.039 in 2\/59, 0.1, 14?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4687 is divided by 294.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 2, v: 4, y: 1, u: 1, k: 4}. Give prob of sequence cauv.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(2\/5))\/f*f**(-4))\/(f**(-1\/3)\/(f\/(f**(-1\/4)*f))))**(1\/50) assuming f is positive.\nAnswer: f**(-229\/3000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 30512*p - 30517*p = -22, -c + 13 = -5*p for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**4\/24 - 14*x**3\/3 + 2*x**2. Let s be h(0). Let a = s - -42. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*a + 290 = 0, 2*y - 195 = 4*y - 3*a. Let s = 155 + y. Let b = -35 + s. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -75, 3, 1, 2\/7 in decreasing order.\nAnswer: 3, 1, 2\/7, 0, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -12. Suppose 3*m + t = 3*s, -4*s + s - 5*m = -3. Solve -q - 3 = -4*a + 2*a, 4*q = -3*a - s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (6 - (-5 + 9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0.5 (c) 3 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112130200313330 + -1?\nAnswer: 112130200313323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -5. Let y = 1120 + -1122. What is the second smallest value in y, o, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 10*l**2 - 10*l - 6. Let a(z) = -12*z - 91. Let b be a(-8). Let m(p) = -p**3 - 9*p**2 + 9*p + 5. Let s(w) = b*m(w) + 4*y(w). Calculate s(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-27 - -21) + -7 + (-215)\/30?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b + 16. Let x be r(-6). What is the greatest common factor of 391 and x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -168. Let g(n) = -18*n + 3. Let p be g(-3). Let y = -38 + p. Calculate the greatest common factor of y and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284247440.\nAnswer: 2, 5, 563, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/151956 and -73\/1671516.\nAnswer: 1671516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 2*v**2 + 3*v**2)*(3 - 3 + v + (-3 - 12 - 3)*(-v + 0*v + 3*v)).\nAnswer: -70*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 904 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5841078?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a second in milliseconds?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 15\/4*s**4 + 0*s - 10 - 3\/2*s**2 + 0*s**3. Find the second derivative of p(u) wrt u.\nAnswer: 90*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (376\/(-2679))\/((-224)\/(-2128))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-165)\/45*(-2911 + 1). Let x be (-2149)\/g + (-2)\/(-10). Let l = 48003\/8536 - x. What is the common denominator of -93\/4 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1078*s**2 + 24*s - 73. Is c(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**2 + 32*r + 5. Let y be q(16). Is (-3390)\/(-1) + -6 + y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:43 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + (sqrt(500) - (sqrt(500) + sqrt(500)*-2)) + (sqrt(55) - -1*sqrt(55))\/sqrt(11).\nAnswer: -4 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 60*x**2 - 4. Let v(b) = 15*b**2 - 1. Give -2*n(a) + 9*v(a).\nAnswer: 15*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*b**2 - 21*b + 59*b**2 - 36*b**2.\nAnswer: -13*b**2 - 21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(2\/(60\/25)). Suppose d*u - 32 = 5*u. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 115. Let b = 606.7 - 643. Let w = s + b. What is w rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -524, -1\/7, 77\/5, 0.03, -2\/13?\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48797?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6665*h - 73340. Determine o(-11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320 - 34?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + i - 1. Let c(a) = 3*a**3 - a**2 - 3*a + 4. Let g(u) = c(u) + 4*v(u). Let d(q) = 5*q**3 + 3*q**2 - 2*q. Determine -d(t) - 3*g(t).\nAnswer: -2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = a - 3*o - 2*o, -5*a - 2*o + 1496 = 0. Suppose d - a + 76 = -3*g, -5*d = 2*g - 135. What is the highest common factor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/((-10)\/(560\/21)). What is the common denominator of 92\/15 and 273\/(-90) + i\/40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*(sqrt(2448) + -1 + sqrt(2448)))**2*1.\nAnswer: -432*sqrt(17) + 88135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*b = 147*b - 233*b - 3366 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-2 - -3)*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**2 - 257*g + 3280. Give x(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/9 and -85\/3126.\nAnswer: 9378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -4379 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 273540 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 8:10 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/7)*k)**45 assuming k is positive.\nAnswer: k**(90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 1, f: 1}. What is prob of picking 1 f and 1 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 337013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-85))\/(3\/(-4))*(-66 + 41)\/50\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183.4612 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01979 and 0.31701.\nAnswer: 0.0062736279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1843, -5437, -11427, -19813, -30595, -43773?\n\"Answer: -1198*b**2 - 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.025874471 to 4 decimal places.\nAnswer: 0.0259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(182)*1)\/sqrt(7))\/(sqrt(2) + sqrt(2) + (2*sqrt(18))\/sqrt(9) + sqrt(2)))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 4*m**2)*(0*m**3 + m**3 - 2*m**3) + (5 - 3*m - 5)*(-2*m**4 - 2*m**4 + m**4).\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 420*b**5 + 12*b**4*w**2 - 19*b**2*w**2 + 2*b*w**2 + 10*w**2 wrt b?\nAnswer: 25200*b**2 + 288*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ca4c21 + -a?\nAnswer: 1ca4c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6821.491913 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3\/2, -246, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 14*g - 23. What is the remainder when 44 is divided by x(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1840 (base 14) to base 13\nAnswer: -1cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**4\/30 - 28*r**3\/15 - 15*r**2 + 261*r. Factor o(l).\nAnswer: -2*(l + 3)*(l + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357 - -607. Suppose 0 = -4*s - 286 + 2298. Let c = s - f. What is the highest common divisor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94727798.2 - -321\nAnswer: 94728119.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13761 + 11002. Let l = m + -17241. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2483 - 2479.782. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 73 - 2?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7318 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83111.\nAnswer: 7, 31, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 4369068340.\nAnswer: -4369068339.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 3*j**2 + 1 + (5*j - 5*j + 3*j)*(2 - 2 + 2*j).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3005*y**3 - 3043*y wrt y.\nAnswer: -18030*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) + (1*sqrt(114) - sqrt(114))))*-5 + sqrt(114) + sqrt(114)*-1*-2)\/(4*(sqrt(6) + sqrt(24)\/sqrt(4)) + sqrt(12)\/sqrt(18)).\nAnswer: 9*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6*j + w + 11, -5*j = 2*w - 8. Suppose 7*b = 3*b + 36. Let i(u) = j*u**2 - 9*u + b*u. Let c(q) = 3*q**2. Determine i(c(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1163930\/21 + -55405. Let u = -61\/3 + z. Let d = 17\/42 - u. Is 1\/2 not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303115.\nAnswer: 5, 11, 19, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 72 times 153663.2\nAnswer: 11063750.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 66*r + 6. Calculate the least common multiple of v(-9) and (2 - 1) + (26 - (5 + 4)).\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114189 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4706 divided by -43?\nAnswer: -4706\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, z: 1, q: 1, c: 2}. Give prob of picking 1 q and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmvwmmmmmmwmmmmmwjpj. What is prob of picking 1 p and 1 v?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a - 4*h + 286905 = 287040, -25 = -5*a + 2*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1116 - -16732\/15. Let z = t - -6\/5. What is the nearest to 1 in z, 0.5, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -1\/185, 0, 3, -163?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2101*z - 24367. Calculate x(-12).\nAnswer: 845","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 318 and 43354?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 866, 223, 4 in descending order.\nAnswer: 866, 223, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35226, 141432, 318456, 566304, 884982, 1274496?\n\"Answer: d**3 + 35403*d**2 - 10*d - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) 3236\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + 13*g = 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r + 1. Suppose 6 + 2 = 4*z. Suppose 0*j + z*j = 8. Let f(c) = -c**2 + 7*c + 2. Let w(y) = j*f(y) - 7*p(y). What is the derivative of w(x) wrt x?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -87*v - 30. Let l be b(4). Let s = 627 + l. List the prime factors of s.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1341, 2, -223, -2\/9, -0.03, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 7) to base 6\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.137 (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, h: 3, a: 4}. What is prob of picking 2 h?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55.85 and -0.022846.\nAnswer: -1.2759491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.033, -1.13, -0.5?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 109284 to the nearest 1000.\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/6 + 17545*q\/6 - 17555\/3.\nAnswer: 5*(q - 2)*(q + 3511)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.55850836 rounded to one decimal place?\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/135961, 0.3?\nAnswer: -2\/135961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 8*v + 27. Is 4 a factor of g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -85, -2, 0.2, 1\/2, 622 in ascending order.\nAnswer: -85, -2, -0.1, 0.2, 1\/2, 622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -81*b + 5 - 5 - 807*b - 1618*b to the form j*b + q and give j.\nAnswer: -2506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 5*l - 28, 0 = 3*a + 1565*l - 1568*l + 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/15 (b) 1\/4 (c) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11932 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -271.95 and 0.1?\nAnswer: 272.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(1600) - (sqrt(1600) + (-2*sqrt(1600) - sqrt(1600)))) + sqrt(1600))*6)\/(sqrt(24)\/sqrt(12)*-6).\nAnswer: -80*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -115 - 15?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3221.83939 + -3216.24. Let g = -5.6 + m. Round g to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 34*g**2 + 445*g - 211. Let t(x) = 13*x**2 - 2*x + 3. What is the remainder when t(2) is divided by r(44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0*l. Suppose u - 399 - 171 = l. Let b = 952 - u. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/9517 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**2 + 117*o - 6. What is s(15)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 93.\nAnswer: -4\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606 - 648 = -5*u + 3*q, 7*u + 4*q = -15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*k - 192*k + 3*n = -12, k = 4*n + 25 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 1 - 3*j - 1)*(-j + 6*j - 4*j) + 14*j**2 - 16*j**2 - 7*j**2.\nAnswer: -10*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 12:26 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c - 144 = 228 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 108180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*1)\/((-3)\/81). What is the highest common factor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50483887 rounded to four dps?\nAnswer: -0.5048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9208566 divided by 341058?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150.39 - 3.61. Let r = t - -154.081. Let v = 0.219 + r. Which is bigger: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 894, 3505, 7858, 13953, 21790, 31369, 42690?\n\"Answer: 871*i**2 - 2*i + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 86*z**2 - 91*z**2 + 9)*(-66*z - 50*z + 119*z + 87) to the form y*z**2 + q*z + x*z**3 + v and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five eighths of a meter?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 9*j - 6. Let q = -16 + 24. What is the units digit of x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -13. Which is the closest to -0.1? (a) k (b) -3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/4*(-8)\/(-6). Let i be (o\/7)\/((-2)\/(-7)). Suppose -i*l + 5 = 1. Solve 5 = -l*v - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 36 = 5*b. Let w(o) = o**2 + 13*o - 10. Let l be w(b). Let j = l - -93. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 553*q - 8. Is o(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 - 60 + 18)*(w + 0*w - 7*w).\nAnswer: 612*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.3 and -0.2.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + (sqrt(432)*2*6)**2)*-2 + (-4 + -3*-2*sqrt(432))**2.\nAnswer: -108848 - 600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1146 < -1152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88.5 - 20.5. Let x = 113 + h. Which is the nearest to -1\/5? (a) 6 (b) -4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 26. Let y(s) = -s. Determine y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-6 - -7) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*u + 5)*(-1 + 2*u + 1) + 4*u**2 + 3*u**2 - 5*u**2 + (2*u + 1 - 1)*(u + u - 4*u)*(3 - 2 + 6 + 3 + 1 - 2 + (-1 - 1 - 3)*(-3 + 2 - 1)).\nAnswer: -78*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 16271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + b03e?\nAnswer: b044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -18*t + 33. Let j(m) = 9*m - 16. Determine 13*j(x) + 6*v(x).\nAnswer: 9*x - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 108905573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -112020031 (base 5) in base 4?\nAnswer: -1322120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 6*j - 6. Let c(n) = -3*n**2 - 5 - 5*n - 2*n**2 + 3*n**2. Let p(l) = -6*c(l) + 5*w(l). Let t(f) = 4*f - 3*f - 2*f. What is p(t(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-5 + -7 + 11). Let m be 1\/((-2)\/(-8))*1. Let d(a) = -2*a**2 + 3*a**2 - 2*a**2 - m*a - 2. What is d(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1300) + 1 + 0 + (sqrt(13) + -1*sqrt(13)*6 - sqrt(13)*2*5))**2.\nAnswer: -10*sqrt(13) + 323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/340340 and 173\/13860.\nAnswer: 3063060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from dptodytpm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -132111 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.22 - 0.82. Which is the second biggest value? (a) l (b) -3\/5 (c) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + m + 2259 = -5*k, -1357 = -3*k - m. Solve 452 - k = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d + -3?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 10. Let h be i(4). Solve 0*d - 7 = -h*r + d, -r - 3*d + 7 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(360)\/sqrt(10))\/(2*(sqrt(3) - sqrt(33)\/sqrt(11)) - sqrt(3) - sqrt(3)) + 1.\nAnswer: -sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 1:34 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 472 and 354?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15510\/(-55))\/(1\/(12\/36))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(45)\/(2*sqrt(9)) - (sqrt(500) + 0)**2).\nAnswer: -5*sqrt(5)\/2 + 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {x: 8, f: 2, g: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - i - 15. Suppose -i*p + 2 + 4 = 0. Factor 0 + 0 + 2*b**p + 0 - b**3.\nAnswer: -b**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12055518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28237.\nAnswer: 11, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + w = 2322, 3*p - 2*w + 0*w - 3490 = 0. Let f = 3361\/3 - p. Let t = -491\/12 - f. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, t: 8, y: 4}. What is prob of picking 2 y and 2 j?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 157536 and 69296148?\nAnswer: 554369184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 9.99. Let z = q - 0.01. Let u = 0 - -0.1. Which is the nearest to 2? (a) z (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h - 50 = 0. Suppose f + 0*f + 55 = 0. Let z be (-4)\/22 + h\/f. Let w(g) = -g**3 + g**2 - g - 4. Determine w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -69. Suppose r - 3*h = 8, z*r = -r - 4*h + 50. Calculate the greatest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 3. Let s be j(-5). Let a be s\/(-36)*(-8 - -1). Find c such that -8\/9 + 16\/9*c - 10\/9*c**3 + a*c**2 = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2. Let x(y) be the second derivative of y**3\/3 + 7*y. Calculate k(x(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, v: 5}. What is prob of sequence vuu?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85408\/628*(-12)\/((-480)\/(-10))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 4*a - 3. Let k = 20 - 13. Let q(t) be the first derivative of -t**3 + 9*t**2\/2 - 6*t + 3652. Give k*l(f) - 3*q(f).\nAnswer: 2*f**2 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 119. Let x(y) = y**2 - 15*y + 13. Let d be x(6). Let v be w(d). Sort -13, 2, 0.2, v.\nAnswer: -13, v, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4878505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fufuqqcuuqq. What is prob of sequence cf?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 1, u: 1, s: 1, n: 1, m: 2}. What is prob of sequence zcnm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/13, -1, 1\/14 in increasing order.\nAnswer: -1, 1\/14, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202103303 + 21?\nAnswer: 202103330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 888708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 13403152?\nAnswer: -13403151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 24*o**2 - 43*o + 28. Is 5 a factor of s(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = 20. Let n(h) = -4 - 3*h + v*h + 2. Let j(y) = -4*y + 1. Suppose 0 = 2*q + 905*g - 903*g - 10, -4*g = -2*q - 56. Give q*n(c) - 11*j(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1837 - 248. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62827 * -15308\nAnswer: 961755716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a century in months?\nAnswer: 22000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -75, 10, 169, 426, 805, 1330?\nAnswer: 2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 7*f - 12. Let v be x(9). Suppose -2*o = o - v. Let m(t) = t + 3*t - o*t. Let z(b) = -b**2. Determine z(m(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*o + 136096 = -17*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -121*v**3 + 6*v**2 + 16*v + 55. Calculate b(-3).\nAnswer: 3328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*w**6 - 24892*w**5 - 6*w**3 + 13218391*w**2 - 3.\nAnswer: -960*w**3 - 1493520*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**4\/4 + 7*n**2\/2 + 7061*n. Let a(p) = 3 - 4 + p + 1. Determine b(a(u)).\nAnswer: -3*u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, o: 3, c: 1, q: 1, g: 4}. Give prob of picking 1 o and 1 q.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 17*y - 228. Let l be i(27). Find the second derivative of -l*t**5 + 142*t**5 + 57*t - 128*t - 148*t wrt t.\nAnswer: 2000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*y - 13548 = -4152. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, g: 1, s: 1, c: 2}. Give prob of sequence gcsc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 1. What is the lowest common multiple of 12 and m(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772540?\nAnswer: 2, 5, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 2. Let n(y) = -1. Let r(m) = 4*n(m) + 2*w(m). Let h(j) = 2*j - 7*j + 0*j. Calculate r(h(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*v**3 + 3951*v**2 - 24*v + 2533789.\nAnswer: -33*v**2 + 7902*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -14 - (6 - (-5 + -11 - -6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = b - 4*d, 4*d = -4*b - 20. Let t(f) be the first derivative of f**3\/3 + 4*f**2 + 7*f + 2. What is t(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 4) + (-9)\/(-3). Suppose -i*y = 4*y - 12. Suppose -y*t + 31 = 9. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 + 1.9. What is the nearest to 1\/2 in b, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*z + 91*z + 84 = 0. Factor 585*t**2 - 587*t**2 - z*t + 36*t - 72.\nAnswer: -2*(t - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 24614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w + 27. Let q(g) = g - 4. Let z(b) = 27*q(b) + 4*u(b). Let o(f) = -6*f. Calculate 2*o(i) + 5*z(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z - 2*z**2)*(27 + 18 + 6)*(2*z - 5*z + z).\nAnswer: 204*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -41481061497565.\nAnswer: -41481061497564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 + 1. Let u = x - -4.4. Let y = 3.999996 - u. Round y to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -909269\/115 - -7907. Calculate the common denominator of -11\/8 and a.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 z when four letters picked without replacement from znknz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 18*h**3 - 6*h**2 + 3*h + 6. Let d(y) = -35*y**3 + 13*y**2 - 7*y - 13. What is 6*d(m) + 13*t(m)?\nAnswer: 24*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -350*h + 136146. Determine j(389).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-2)*z**9*(z*z**(2\/15)\/z)\/z*(z*z*z*z**(1\/18)*z)\/z assuming z is positive.\nAnswer: z**(1277\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10237 * -0.126\nAnswer: -1289.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-5))\/(-21*180\/(-4725))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 1\/2, -55991\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -10\/9*a**2 - 1\/9*a**3 + 0 + 59*a + 1\/54*a**4. Factor f(q).\nAnswer: 2*(q - 5)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 + ((-405)\/50 - -8). Let n = 1\/568 - -1123\/7384. Which is the smallest value? (a) n (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 3 = 4*h. Let c be ((-1 - h) + 1)*2. Solve 4*l - c*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269750, -1079068, -2427952, -4316402, -6744418?\nAnswer: -9712000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, o: 1, i: 2, w: 1, c: 1, p: 1}. What is prob of picking 1 c, 1 w, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2593 - -4046. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 14 (b) 529 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 5*o. Suppose 2*i = -4*n - 16, -2*i - 17 = 2*n + 3. Let c be ((-24)\/(-5))\/(-4)*80\/i. Give t(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -5. Let s = 5 - x. Is 12 a factor of (-44)\/(-2 - s) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 317 and 2536?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**2 - 37*q + 6. Let y(l) = -l**2 + 2*l + 2. Let d(p) = -r(p) - 3*y(p). Give d(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 1\/84*l**8 + 29\/5*l**6 + 7*l**2 + 0 + 7*l + 475\/2*l**4 - 142\/3*l**5 - 750*l**3 - 2\/5*l**7. What is p in g(p) = 0?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 136*a**2 + 2*a + 2. Let s be j(-1). What is the greatest common factor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1342, -5505, -12446, -22171, -34686?\n\"Answer: -c**3 - 1383*c**2 - 7*c + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 726127758 to the power of 1\/2, to the nearest integer?\nAnswer: 26947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-47)\/(-42) - 48\/168)*6. Let i = 12 - 8. Suppose i*s + s = r. Solve -u + 4 + s = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 8.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -13. Let i = v - -9. Find the second derivative of 0*p**4 - 2*p**3 + 5*p**4 - 3*p + 2*p**i wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018338 to 4 decimal places.\nAnswer: -0.0183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -22 + 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -583 times 11.4\nAnswer: -6646.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -27. Let g = t - -26. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + 2 = 0. Suppose -6*l + v*l + 3*a + 9 = 0, -5*l - 4*a = 12. Let -3*u + l*u - 3*u**3 + 6*u**3 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.3 - -4.7. Let j = -14 + k. Which is the closest to 3\/2? (a) j (b) -1\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(3 + 1)*-12. Let a be 4\/w + (-7)\/3. Do -3 and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/8)\/(m*m\/(m**(4\/3)\/m)*m*m) assuming m is positive.\nAnswer: m**(-97\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 7 + 16 + 0*u + 13.\nAnswer: -2*u + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -545466 (base 9) to base 4\nAnswer: -1033132032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r. Let l(f) = -1000998*f. What is d(l(c))?\nAnswer: 5004990*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.55 - -5.5. Let s = w - -0.049987. What is s rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2505388599 to the nearest integer?\nAnswer: 50054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/3592?\nAnswer: 1\/3592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -153*x + 1. Let s be i(-1). Let k = -90 + s. Suppose -154 - k = -2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11746644?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p - 1692 = -3933 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 708 and 252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14811582077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**5\/60 - 13*w**4\/24 + 5*w**3\/6 - 2*w**2. Is b(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxo when three letters picked without replacement from ddjocoodnxcoddn.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458 a factor of 1224512622?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 12*f**2 - 28*f - 19. Suppose 3*c + 10 = -29. Is k(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533849.47 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.5 + -4.5. Let d = -203819.00078 - -203795. Let s = r - d. What is s rounded to five dps?\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0, 4, -5, 1586?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 24*r**2 + 14997*r - 1835. Determine h(-625).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 9. Let f be o(-6). Suppose -t = -5*p - 20, -5*p + 0 - f = 0. What is the remainder when 29 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-60)*298407\/9. Let a = h - 4978. Calculate the common denominator of 45\/4 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -173 + 154. Let a be ((-3)\/15)\/((-6)\/10). Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -124 (b) 4 (c) 0.05 (d) 5 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232882187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3. Let t = -1 - -3. Let f(k) = 3 - 3*k + t*k + 0*k + 0. Let z(h) = -4*f(h) - 5*v(h). What is the derivative of z(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from innfnnff. What is prob of sequence nf?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - b - 10. Let d(y) be the second derivative of y**4\/6 - y**3\/6 - 19*y**2\/2 + y. Let j(m) = 3*d(m) - 5*p(m). Is 17 a factor of j(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (4 - -6) + -17 - (16 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28, 50, 86, 130, 176, 218, 250?\n\"Answer: -g**3 + 13*g**2 - 10*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.94 - -5. Let i = d - -2.64. Round i to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 323*g + 4329. Calculate d(92).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**8\/112 + f**6\/20 - f**4\/8 - f**2. Factor q(x).\nAnswer: -3*x*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217 - 292 = -15*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = 2*j. Suppose j*f - 31 = -1. Suppose 5*r = -0*r + f. Calculate the smallest common multiple of r and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*l + 67 + 381 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 186821 - 21*x**2 + 186821 + 0*x**3.\nAnswer: 2*x**3 - 21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 8*k**2 + 4)*(-231 + 474 - 246 - 102*k**2).\nAnswer: -816*k**4 - 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 843609047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 15 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3834 < -17940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6947, -6974, -7015, -7076, -7163, -7282?\nAnswer: -7439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8157, -8153, -8149?\n\"Answer: 4*f - 8161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52351 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 56. Let x be r + (-357 + 2)\/(-1). Let c = -201 + x. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250 - -487\/2. Let o = -25\/4 - z. Let y be 2\/(-18)*(-4)\/(-4). Which is the nearest to o? (a) y (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = 36*d + 172 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 51 times 503.66\nAnswer: 25686.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91197 and 2061?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-1 - (-995 - -1)). Let f be (x\/6)\/((-16)\/1). Let j = 209\/32 + f. Calculate the common denominator of 99\/2 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 11, s: 3}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -63\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7298609, 14597218, 21895827, 29194436?\nAnswer: 36493045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvevzzvvevvvvzvvby. Give prob of sequence ey.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9154*u + 9157*u + 9156*u - 27468*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31503 take away -333549126?\nAnswer: 333517623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149 - -502. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162 + 159. Let b(y) = y**2 + 4*y - 4. Let a(r) = -r**2 - 4*r + 4. Let j(s) = 2*a(s) + 3*b(s). Determine j(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.32 + -8.92. Let g be (-4)\/4 + -2*2. Let t = 7.2 - 7.2. Which is the nearest to t? (a) -2\/7 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/345660 and 79\/864150.\nAnswer: 1728300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1636592, 0.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 965792828 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -12 + 20 + -12 - (-7 + 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-10 - ((-11 - (-24 + 3)) + -54))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 875 divide 2613604875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -50*z - 48. Let w be s(2). Let j = w - -149. Solve 4*h + 13 = -p, -5*h - 27 = -2*p - j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 15 = 4*m + 14, m - 44 = -k. Suppose 112 = 55*h - k*h. Suppose -5*y = -3*y - 30. Solve a - 4*r - h = 1, 5*r = -y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from ffoopzxxfpzzxpzz?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4018210, 4018220, 4018236, 4018258, 4018286, 4018320, 4018360?\nAnswer: 4018406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -12*m + 8. Let w(d) = -33*d + 19. Determine 17*a(s) - 6*w(s).\nAnswer: -6*s + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 130*g + 7. Let a be y(3). Let w = a + 1170. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 4*p - 10 = 6*q, -3*p - 10 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 26356 + 22201 = 0. Is -831 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*m + 35, f - 2*m + 5*m - 11 = 0. Suppose -6*p - 22 = f*p. What is the units digit of -172*3*((-7)\/p + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 95\/20 + 9\/(-12). Suppose 5*n + 51 = 4*c, a*n - 4 = -0. Calculate the lowest common multiple of c and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 232*y - 4 + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*r**2 - 23*r**2 + 16*r**3)*(1 + 3 - 14)*(-r**2 + 5*r**2 + r**2).\nAnswer: -800*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*z - 71*z - 77*z - 70*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25206*k**5 - 28*k**3 + 2499076*k + 1 wrt k.\nAnswer: -504120*k**3 - 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 3:11 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5492*b + 1831*b + 1835*b + 1830*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5471 or 5472?\nAnswer: 5471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**21*w)\/w*w\/(w*w*w**(-9\/8)*w*w))\/((w**(-19)\/w*w)\/w)**(-3) assuming w is positive.\nAnswer: w**(-327\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 + 2*l + 2. Let a(y) = -9*y**2 - 5*y - 5. Suppose 2*n - 13 = -17. Let c(x) = n*a(x) - 5*b(x). Let f(w) = -4*w**2. Calculate c(f(u)).\nAnswer: -32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/203 and (-50)\/(-105)*36\/5.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -4*r**3\/3 - 5*r**2\/2 + 111*r + 4. Suppose -3*c - 26 + 2 = -4*n, -n + 3 = 0. What is k(c)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80\/5933 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104062 + (0 - 2)\/((-58)\/29)*7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -4749*q + 4754*q - 26, -2*r = q + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 9 = -3*o, -20*j + 16*j + o - 4 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46, 53, 74, 115, 182?\n\"Answer: u**3 + u**2 - 3*u + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, 2\/27, -2\/11, 0.24?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1563539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 115.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - f - 3 = 3*p, 4*f + 3 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 1\/7, 7, 0, 47, 3505\/6, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**5\/24 + 5*s**4\/72 + 5*s**3\/9 - 5*s**2\/3 - 62*s. Determine m so that o(m) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-230)\/(-4) - (-1)\/(-2). Suppose 3*k - n = -4*h - h, 0 = 2*k + h - 31. Solve -2*x + 5 = o, 5*x - o + 4*o = k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193588421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3052.365 milligrams in grams?\nAnswer: 3.052365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*h + 32498, -5*g = -257*h + 256*h + 8133. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35247 is divided by 250.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(((-3)\/14)\/1). Suppose 2*x + 6 = q. Factor 0*a**5 + 5*a**4 - a**5 + 3*a**2 + a**3 - 4*a**4 - x*a**2.\nAnswer: -a**2*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 1037568*b - 89712279552.\nAnswer: -3*(b + 172928)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 2724?\nAnswer: 2735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 352101 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3194 - 2260. Suppose 218 + f = 12*x. Is x a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1040, -1166, -1300, -1442, -1592, -1750?\nAnswer: -1916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3 - 2 = f, 0 = 3*f - 2*h - 5. Suppose f*v - 15 = 0, v + 111 - 36 = -2*m. What is m rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 2*j**2 - 17*j + 27. Calculate t(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + ((-1*sqrt(1573) + sqrt(1573))*-4 - sqrt(1573)) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 8:30 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 1.5, 0.2, -0.4, 574\/9 in descending order.\nAnswer: 574\/9, 3, 1.5, 0.2, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81069 is divided by 261.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109 + -107. Let d be 2 - (-1)\/f*446. Calculate the highest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y + 29. Let q be f(-13). Find the third derivative of -32*s**3 - q*s**3 - 27*s**3 + 129*s**2 - 20*s**3 wrt s.\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.73 - -0.95. Let r = -1.12 + y. What is the nearest to 0 in -1, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, -26, 3 in decreasing order.\nAnswer: 3, -2, -9, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + 3.9. Let k be (-3)\/(-1) - (-2 + 0). Let q = -1.5 - -1.3. What is the third smallest value in q, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4676.2 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/17 - 3072*m\/17 - 1179648\/17.\nAnswer: -2*(m + 768)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -325\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 86978689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 97, 99, 101, 103, 105?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66617\/13 + -5129. Let w = -401 - -401.3. Which is the third smallest value? (a) i (b) 1\/6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790210451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 147287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -818 (b) -10 (c) -2 (d) 1293\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189235 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 8, 18?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 - 258*s + 2. Let h be b(43). Let y be 4\/(-2) + (2 - -5). Solve -z = 5, -5*k - h*z = 3*z + y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3646024214?\nAnswer: 2, 7, 260430301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-6)\/10*5\/10). Let y be o\/(-15) + (-3)\/(36\/(-47)). Let p = -3 + y. What is the nearest to 0.1 in p, 5, -3\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2 - 537164*i + 72136290724 = 0.\nAnswer: 268582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135121006.\nAnswer: 2, 5107, 13229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 17*k**2 - 32*k - 111. Determine s(14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1838046826 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) + 2\/(-12). Let k = -16 + 16. What is the second biggest value in k, q, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h + 18. Let p(b) = -4*b - 17. Let y(f) = -3*c(f) - 4*p(f). What is y(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-1 - -24) - (4 + 4) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 p, and 1 k when four letters picked without replacement from kdktpkdptttttkttd?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 5*m - 4*k, -6 = -4*m + 2*k + 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 724.23 - -6311958\nAnswer: 6312682.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14574252 to the power of 1\/2, to the nearest integer?\nAnswer: 3818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 2 - -2)\/(5\/15). Solve -2*v - v + 30 = -i*y, -4*y - 30 = -2*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (5 - 1 - (18 - 12))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 6. Suppose 195 = m*f + 2*f - 5*z, -3*f + z = -111. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 172, 226?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1818 and 69403766?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 70 - 71 - 67 - 9*t**4 + 207 to the form z*t**4 + l*t + d + p*t**2 + y*t**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - j. Let i be l(2). Suppose 2*y + 2*v - 14 = 0, -2*y + 2*v + 9 = -v. Suppose 2*u = -y + 4. Put u, i, -5 in increasing order.\nAnswer: -5, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**4 - a**3 + 62*a**2 + 192*a + 186. Let n(u) = -u**4 - u**3 + u**2 + 2. Let x(b) = -h(b) + 3*n(b). Let x(l) = 0. Calculate l.\nAnswer: -3, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 10:46 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2891862869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -14*t + 14. What is the tens digit of w(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 4 - 5*i + 15 + 19*i. Let v be u(15). Suppose -k + 428 = v*d - 183, -5*k = -d + 179. What are the prime factors of d?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/20 and 81\/820.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30123 is divided by 792?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13530.2901 plus 876?\nAnswer: -12654.2901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x + 6. Let d be i(4). What is the remainder when (112\/(-12))\/7*28470\/(-584) is divided by (3\/d)\/((-1)\/34)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13183 = -5*w - 4*a - 13204, 0 = 3*w + 3*a + 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 3*i + 1. Let n be q(-2). Solve n*p - 1 = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -211*o**2 - 404671*o + 163184118.\nAnswer: -422*o - 404671","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -5 - 1\/8*f**4 + 1\/10*f**5 + 0*f**3 + 0*f - 1\/40*f**6 - 1\/2*f**2. Let v(b) be the second derivative of g(b). Factor v(z).\nAnswer: -3*z*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4329)\/74 - (-2)\/(-4))*-37 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -3, 1358419, 2, -1\/5 in descending order.\nAnswer: 1358419, 4, 2, -1\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -26. Suppose g*l + 4539 = 3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39164, -78326, -117488, -156650, -195812, -234974?\nAnswer: -274136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9977?\nAnswer: 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*j + 311 = 0, t - 5*j = -9*j - 71. What are the prime factors of 14\/t + 274\/18?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 77 = -5*x + 134 - 11, -34*x - 8 = -32*x for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 1\/4 (c) 5 (d) -36 (e) 1\/1016\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 a factor of 11029974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17655893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 569912 = -2*x, -2*f + x - 395914 + 965823 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 45.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1920 and 55680.\nAnswer: 55680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -448*o - 4*o**2 + o**2 + 454*o + 5*o**2. Let a(w) = -2*w. Calculate p(a(v)).\nAnswer: 8*v**2 - 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + 4*2*(-5 + (5*(-2 + sqrt(242)) - sqrt(242)))**2.\nAnswer: -10560*sqrt(2) + 32768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -11. Is (-1)\/s + 4885\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37, -35, -31, -25, -17, -7?\n\"Answer: a**2 - a - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 58*g - 184. Let p be s(-3). Sort -11, p, 1, 3 in ascending order.\nAnswer: -11, p, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1582*m - 168 + 2888 = -1742*m for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2\/47 (c) 1783\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynv when three letters picked without replacement from {v: 1, n: 1, i: 1, y: 1, s: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*s + 835*s = -97*s + 17863 + 20353 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 21 = -351. Let o = -36 + h. Calculate the greatest common factor of 104 and o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71547 to the nearest 1000.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 1:19 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u - 54*u = -7*u - 18*u - 3640 for u.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (167 - (1 + 0)) + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 8*l**2 - 13*l - 3. Let n be z(-2). Solve 5*p + 2*g = 21, -3*g + n*g - 2 = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230869647?\nAnswer: 3, 41, 625663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 840994428 to the power of 1\/2, to the nearest integer?\nAnswer: 29000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 337 - 111?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 17 = 3*s, -5*c + 8 - 40 = 4*s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2548 and 15574?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o*o**(3\/2))\/o)\/o*o*o**(-1\/4)*o)\/((o**(-4)*o)\/(o*o**(-2))))\/(((o*o*o**0*o)\/o)**(-14\/5)\/(o*o**(1\/10)*o**(-2))) assuming o is positive.\nAnswer: o**(199\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j. Let p(k) be the first derivative of 0*k**3 + 1\/6*k**4 - 8 - 8*k**2 + 0*k. Let x(l) be the second derivative of p(l). What is b(x(c))?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -62623?\nAnswer: 62620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v**2. Let m(a) = 11*a - 6 + 7 - 3 + 2. Calculate m(d(h)).\nAnswer: -88*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412 and 8446?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and -2.73.\nAnswer: -2.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230 by -46.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(10\/3)\/(v\/v**(-20)))\/(v**(-30))**(-5\/6) assuming v is positive.\nAnswer: v**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296510?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8 = 12. Let n(r) = -r**2 + 2*r + 4. Let s be n(b). Let h = s - -22. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eme when three letters picked without replacement from eeemmeemeee?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1057.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 2*y - 23. Let j be u(-6). Let o be j - (-5)\/(25\/2070). Suppose -3*c + 2*h + o = 0, 4*c - 3*c - 3*h = 143. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21541*-2.\nAnswer: 43082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.7. Let i be 4\/(-3) + 3 - (6 + -4). Let g = -4253\/13 - -327. What is the closest to i in z, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 29 + 14454\/(-352)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375707.9mm to micrometers.\nAnswer: 375707900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6425 = -44*b - 7877 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 5224 - 2*w**3 - 5225 + w**3 + 4*w**2 + 0*w**3. Calculate l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-6)*(-2 - -5). Suppose -24 = -o*k - 2*h - 1, -3*h = -12. Put k, -0.4, -0.05 in increasing order.\nAnswer: -0.4, -0.05, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -1. Let l(c) = -2*c**2 + 4*c**2 + 1 + 1 - c**2. What is the remainder when l(s) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -11*y**6\/120 - 5*y**3\/3 - 21*y**2. Differentiate g(i) wrt i.\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 217*z**2 - 3387*z - 209. What is r(17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109 + -62. Let y = 49 - l. Let c(w) = -w. Let x(z) = 2*z. Let p(r) = y*x(r) + 5*c(r). Let m(d) = 4*d. Determine m(p(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g - 16*g - 63 = 0. Let k = 6 - 3. What is the highest common factor of k and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e7e + -cb?\nAnswer: -105a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) 0.58 (c) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -2, 2 in descending order.\nAnswer: 4, 2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -15*m - 14. Calculate a(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 247 and 266.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083?\nAnswer: 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 5*c - 1. Let g(j) = 3*j**2 + 6*j - 1. Let z(u) = -6*f(u) + 5*g(u). Let s(w) be the first derivative of z(w). Determine s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5 = 1. Let m be 20\/8 + (-1)\/c. Let o be (3\/27)\/(m\/30). What is the smallest value in 0, o, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -56, -197, -432, -761?\n\"Answer: -47*i**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:32 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 1136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 4. Suppose -6*k + 11*k - 110 = 0. Calculate the lowest common multiple of k and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1142510 and 3884534?\nAnswer: 19422670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 4:43 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -21*b - 16. Let c(f) be the third derivative of -f**4\/6 - f**3\/2 + f**2. Calculate -11*c(m) + 2*l(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13137*d + 3848 = 13063*d for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -31*y**2 + 53*y - 11. Let i(x) = -16 + 18*x + 62*x - 57*x**2 + 11*x**2. Suppose -5*d = d - 48. Let z(c) = d*u(c) - 5*i(c). Factor z(k).\nAnswer: -2*(3*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -297 divided by 1\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 - 2*m + 4. Let p(b) = 2*b**2 - b - 2. Let d(i) = i**2 - 1. Let q(t) = -3*d(t) + p(t). Determine j(h) - 3*q(h).\nAnswer: -2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -40\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/2, 0.07, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1652550*r**2 + 1561569*r.\nAnswer: -3305100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 32*i - 991. Let l be z(31). Let g(j) = j + 1. Let o(q) = q**2 - 4*q - 26. Determine l*o(d) + 4*g(d).\nAnswer: d**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + sqrt(190) + -3*(sqrt(190)*1 - sqrt(190)) + sqrt(190) - sqrt(190)*2*-4)\/((sqrt(120)*2*1)\/(sqrt(24)\/sqrt(2)*-6)))**2.\nAnswer: 20691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - u - 147 = 0, -2*u + 37 = h + 1. Let f = -3 - -5. Suppose f*r + r - h = 0. What is the smallest common multiple of 6 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(343) - sqrt(343))*4)**2 - (sqrt(343) + (5*sqrt(343) + -5 + sqrt(343))**2).\nAnswer: 413*sqrt(7) + 75435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 10:32 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and -219.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 9:29 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-5))\/(24\/120)*(-2)\/(-2). Is -17 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5478, 0.4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -4, -5, 3, 89 in decreasing order.\nAnswer: 89, 3, -4, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x**2 - 6*x + 12. Let h(u) = 6*u**2 + 6*u - 13. Give 4*h(p) + 5*m(p).\nAnswer: -p**2 - 6*p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 17 - 913. Suppose l - 4*m = -6, -6*l + 3*l - m = -21. Suppose -t - u = -l*t. What is t rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151c (base 16) in base 3?\nAnswer: -21102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*s + 37, -30 = 6*l - 11*l - 2*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 11204533?\nAnswer: 11204540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 + 49 = -20*d. Suppose 2*m + 5*o - d - 531 = 0, -m = 4*o - 272. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9952379 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -40 - (-28 + -2 - -2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.907232 - 1.32733. Let n = q + 0.42. What is n rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -1 + 8 + -2. Suppose 0 = 10*b - m*b - 3. Suppose b*i + 134 = 362. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (23 - (17 + 8))) + -7 - (-35 - 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t - 1. Let q be y(-1). Suppose 0*h - 7695 = 15*h. Let u = h + 517. Solve 0 = -j + q*z + 17, 2*j = -j + u*z + 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0, -2, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4324 + -2477. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1155 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -48 + (-313 - -337)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 12 + t - 8*t - t**2. Let o be z(-10). What is the lowest common multiple of 90\/4 - o\/(-4) and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 774198 and 28674.\nAnswer: 774198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 60417778199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -425, 56, -29, 1 in descending order.\nAnswer: 56, 1, -2, -29, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/69 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.3. Let i = -3 + m. Which is the third biggest value? (a) 5 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n - 5. Let w be g(-2). Suppose 147 = 4*d + w*b, 0*d - 4*d = 2*b - 162. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - -2 - (2 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4066654 - 45?\nAnswer: 4066606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*l + 26, -2*a + l - 7 = 4*l. Let r = 5 + a. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, -21, 3, -8, -3 in increasing order.\nAnswer: -208, -21, -8, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let b(u) = u. Let p(v) = -6*b(v) + 7*f(v). Let x(z) = -9*z - 7. Let w(r) = p(r) + x(r). What are the prime factors of w(-5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 823.3335 years?\nAnswer: 9880.002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 22. Suppose -2*o = -5*o + 4*a + 30, -36 = -4*o + 4*a. Suppose o*q + 65 = 11*q. Calculate the remainder when z is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361111981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -124 < -126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/9 and 67\/286902.\nAnswer: 286902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p. Let c be k(4). Let x(u) = -u + 1 - 3*u**2 + 3*u**2 - c*u**3. Suppose -24 = -5*v - 2*d - 25, -2*v - 7 = 3*d. Determine x(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78340315 at least 78340316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38301623 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: Let z = -107 - -748\/7. Let u = -20.7 - -64.7. Let p = u - 40. Which is the nearest to 1? (a) p (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*b**5 - 11705*b**4 - 92255*b**3 + 200615*b**2 + 596235*b - 160110 = 0. What is b?\nAnswer: -9, -2, 1\/4, 3, 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586*q + 1592286 = -581*q + 1169*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 388 + -387.8. What is the closest to o in -1, 3, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 452 + -453. Which is bigger: s or 6\/41?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7377 = -3*u, 0 = -n + 3*n + 6. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101870239 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26047, 26253, 26461, 26671, 26883?\n\"Answer: k**2 + 203*k + 25843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**3\/3 - 2*m**2 + m - 1. Let t be l(3). Let g be (12\/t)\/((-15)\/10). Solve -2*k - d - g = 4*d, -4*d - 17 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.62, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4*1\/(2\/(-8)). What is the third biggest value in 2\/15, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677*w = -679*w + 10. Suppose -4*q + 2307 = 5*v, w*v - 3*q - 2200 = 86. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/40 - 2\/5. Suppose -4 + 5 = p. Let s be 1 + 0\/((-2)\/p). Is s <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w - 24, z = 2*w - 72 + 66 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(25\/(-3))\/5. Let x(d) = 5*d**2 + 7. What are the prime factors of x(o)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 minus 116?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - t - 32. Let r be w(0). Let p = r + 63\/2. Let d be (-10)\/20 - 23\/(-38). Which is the third biggest value? (a) 0.3 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45210636 to the power of 1\/2, to the nearest integer?\nAnswer: 6724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/9)*o**(-5)*o)**(2\/11)\/(o**(-8)\/(o**(-3\/2)\/o))**(1\/60) assuming o is positive.\nAnswer: o**(-1877\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7998711.\nAnswer: 3, 7, 54413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 46234 - -65c?\nAnswer: 46893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101110110010 + -101110001110110?\nAnswer: -10000011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 90 = -3*c, -3*f - 7*c = -8*c - 50. Let a be (-1*6\/(-231))\/(f\/105). Find j such that 6\/11*j + 26\/11*j**2 - 14\/11*j**3 + a*j**4 - 36\/11 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9922148.\nAnswer: 2, 59, 42043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2643651081?\nAnswer: 3, 97913003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 393*j**3 - 10*j**2 + 5*j - 1571. Let m(t) = -392*t**3 + 8*t**2 - 4*t + 1570. Let b(s) = 4*f(s) + 5*m(s). Find the first derivative of b(n) wrt n.\nAnswer: -1164*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 3 = 33 + 3 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 1\/6*r**4 - 14*r**2 + 0*r - 3\/2*r**3 + 0. Determine p(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1839324*b**3 + 2*b**2 + b - 89481 wrt b.\nAnswer: -11035944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 15619111 + 3709982 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**4\/12 - o**3 + 2*o**2. Let c be k(-4). Sort c, -5, 3.\nAnswer: -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 25268?\nAnswer: 25267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 2*i - 1. Let z(h) = -2*h**2 - 71*h - 4. Determine -4*s(y) + z(y).\nAnswer: 2*y**2 - 63*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52.75 + 72. Let l = 18.8 - u. Which is the nearest to -0.1? (a) -1\/4 (b) l (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4602 - 402. Let d be h\/(-28) + (1 - 4). Let z = d + -176. Which is smaller: z or 20?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -0*v + 4*v. Solve -2*n + 3*m = -m - v, 2*n = m + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2391 - -2386. Which is the closest to 16? (a) 2\/19 (b) 2 (c) 1 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -284 - -922. Suppose -4*r = -i - 342. Suppose 0 = -k + 6*k - r. Calculate the remainder when k is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 2, 3977\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 - 8) - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390247986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1336.802 litres to millilitres.\nAnswer: 1336802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2191825, -4383616, -6575377, -8767108, -10958809, -13150480?\n\"Answer: 15*s**2 - 2191836*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 606*v**2 + 1845*v.\nAnswer: -3*v*(v - 3)*(v + 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 9:02 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 4*f**2 - 9*f - 301. Calculate the remainder when o(19) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(-1 + sqrt(1300)) + sqrt(1300)*2 + -3 + (2 + sqrt(1300) + -2)*-6)**2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 16487792 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1687.971578 to one decimal place.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 55*s**2 - 480*s - 171. Give c(44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -731*p - 7250. Determine d(-10).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 359021244?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47b5 + 4?\nAnswer: 47b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 96*j + 2306. Let c be k(-24). Let y = 11 + -4. Suppose -r - r + 28 = 4*d, 3*r - d - y = 0. Solve -3*f - c - 6 = -i, f + r*i - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29944622 divided by -4.\nAnswer: -14972311\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6475 - 2101?\nAnswer: -8576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 2*q + 6. Let t be y(-5). Let x = t - -62. What is the highest common factor of x and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and -1.2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i - 8 - i**2 + 6 - i**2 - 4*i in the form y*i + k*i**2 + h and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 253*t - 252*t + 12 + 517*t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*u - 8*u - 7*u + 0*u)*(41 - 160 - 111) + (-1 - 1 + 0)*(-1 + 1 + 2*u) to a*u + s and give a.\nAnswer: 2066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -70 and 0.91.\nAnswer: -69.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = d + 5*m - 2, d - 2 = -4*m. Let b(u) = -4*u + 6. Let h(z) = 7*z - 12. Let n(k) = -5*b(k) - 3*h(k). What is n(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-16)*-3)\/(2\/(-48)). Let v(l) = -l**3 + 18*l**2 + 2*l - 16. Suppose -59 = -5*n - 9. What is the smallest common multiple of n and v(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5871, 5, -1, -47 in descending order.\nAnswer: 7, 5, -1, -47, -5871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 7. Let a be v(-3). Suppose -4*l = a*l - 30. Solve 0*p = l*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + -10)\/(-1) + -1. Let c = 16 - x. Find the second derivative of -4*k**5 + 35*k**c - 35*k**4 - 3*k wrt k.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/49)\/(-2 - -1). What is the second smallest value in 0, g, 1\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 + 77*g\/3 + 414.\nAnswer: (g + 23)*(g + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.30026 decades in millennia?\nAnswer: 0.0830026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 6:20 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95\/2 of a litre?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*s = -308*s - 56 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -28*3*(-65)\/60. Suppose -275 = -4*p - 3*d, f = 2*p + 5*d - 36. Does 23 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1807, 2247, 3025, 4135, 5571, 7327, 9397, 11775?\n\"Answer: -j**3 + 175*j**2 - 78*j + 1711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 16*c**2 + 4*c - 376. Determine o(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(-1\/2)*t*t)*t*t*t**(7\/5))**(1\/32)\/((t*t**(-1\/6)\/t*t\/(t**(-2\/23)\/t))\/(t**5*t**(1\/10)*t)) assuming t is positive.\nAnswer: t**(92909\/22080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -30*f**2 - 81*f + 22. Let w be l(-3). What is the fourth biggest value in w, 4\/5, 467, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -4*k + 27. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.172 + 194.828. Let c = -190 + f. What is the second biggest value in c, 1, -0.4, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.696722236 rounded to three dps?\nAnswer: 11.697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 15895640 = -5*k + 7*d, -3*k = 5*d + 9537408. Let j = -1879131 - k. Round j to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -466844011 or -466844009?\nAnswer: -466844011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/1)\/((-7)\/(35\/(-10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruccrcccccucucuc. What is prob of picking 1 c, 1 r, and 1 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -100, 375, -0.3?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 5:40 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -26*n - 18. Let u be h(-8). Let b = u - 178. Calculate the highest common factor of b and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 + 191 - 228 = -52*r. Let s(x) be the second derivative of 0*x**2 - 3\/5*x**5 - 4\/21*x**7 - 1\/6*x**r - 3 + 0*x**3 - 3\/5*x**6 + 4*x. Solve s(a) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43708390 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jv when two letters picked without replacement from {j: 5, v: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - 3\/(12\/(-28)). Solve -o = z*n + 1, -4*o = -5*n + n - 32 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.18, 3, -1\/3, 5?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + 1011100010001110?\nAnswer: 1011100001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (690\/40)\/((-1)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 2*i**2 + 4*i**2. Let w(j) be the third derivative of j**6\/48 - j**4 + 47*j**2 - j. Let h(u) be the second derivative of w(u). What is h(z(d))?\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 695 = n, 8*n + 3*y - 689 = 7*n. Let x = -387 + n. What is the remainder when x is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145823286 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.4 - -151?\nAnswer: 445.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/14 - (-16 + (-1102)\/(-266)). Solve t + k - 2 = 0, -14*t = -q*t + 3*k + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*u - 172257240*u**2 + 38*u + 172257239*u**2.\nAnswer: -u**2 + 62*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 179 divided by 2\nAnswer: 179\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 54 = -4*g, -2*v + 30 = g + g. Let t = -10 + v. Suppose -3*o = 7 - 19. What is the remainder when t is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21993921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3*t + 24 = 0, -3*p - 2*p + 3*t = 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1256)\/(-8792)*2\/((-4)\/(-6))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/6*(-13 + 9). Let j(z) = 7*z - 7 + 3*z - 23*z**i + 22*z**2. Give j(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.98*-19.33\nAnswer: -18.9434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 4*n**2 + 84*n + 934. What is the thousands digit of x(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - -31 - (19 + -17 - (2 - 6))) + -80?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i**2 - 3 + 1 - 8*i**2 - 17*i**2 in the form o + u*i**2 + d*i and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -10. Let k = -5 - j. Which is the third biggest value? (a) -4 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -330, -462, -594, -726?\n\"Answer: -132*g - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from auoa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 162*c + 1574 + 7229 + 1864 for c.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2*s - 1 - 2 + s + 2 + (-2 - 5 + 6)*(-3*s + 3*s - 2*s))*(9*s**2 - 5*s**2 + 10*s**2) as h*s**2 + o + u*s**3 + n*s and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 68 = -4*d, 3*r + 5 - 73 = -4*d. Suppose 0*n + 2*o - 9 = -n, 5*n - 4*o = d. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g + 77 = 5*p, -3*p - 2*g = -4*g + 6*g - 19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 - 62. Suppose -5*v = -12 - 13. Suppose -3*f + v*m = 6*m - o, 3*f - 4*m - 57 = 0. What is the least common multiple of f and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 64199, 513624, 1733495, 4109036, 8025471, 13868024?\n\"Answer: 64204*d**3 - d**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10136433 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -164 + 192. Suppose -8*a = -i*a. Factor -2\/5*k**3 + 0*k + a + 2\/5*k**2.\nAnswer: -2*k**2*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 12:26 PM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46208858?\nAnswer: 2, 241, 95869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -190500745?\nAnswer: -952503725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -25*c + 7. Let g be v(-5). Let o = g - 93. Suppose -m - 2*m = -o. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101115659 is divided by 201.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 14 = 6, d + m + 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4265?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 1, b: 4, w: 4, o: 2, q: 6}. What is prob of sequence qcq?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(75) + -5)**2.\nAnswer: -100 + 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1063, -956, -671, -118, 793, 2152, 4049, 6574?\nAnswer: 9817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6\/13)\/h**(2\/51) assuming h is positive.\nAnswer: h**(-332\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**14*o**(4\/5))\/(o**(-1\/2))**(-21\/4) assuming o is positive.\nAnswer: o**(487\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 16 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3\/5 + 516*q**2 - 110940*q.\nAnswer: -3*q*(q - 430)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/o**4)\/o)**(2\/23)*o**(-2\/23)\/o*o**(-4) assuming o is positive.\nAnswer: o**(-123\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1176\/35 + (144\/45)\/8 + -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - 12?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -1\/41 (c) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Let f = 3.98 - x. Let m = -1.98 + f. Which is the nearest to 1? (a) m (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (216\/2160)\/((3\/(-290))\/((-114)\/190))\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccgc when four letters picked without replacement from ggccgggccgggc.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15 by -1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*q + 25, -4*i + 2*q + 1 = -5*i. Does i = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 5. Find the third derivative of -16*b**2 - 278*b**c + b**2 + 297*b**5 wrt b.\nAnswer: 1140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 124 - 108 = 0. Suppose 2*z - o = -4*k, 2*z = -2*z + 20. What is the remainder when (-2)\/(-11) - 480\/(-22) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(75) - (2 + (sqrt(75) - (4 + sqrt(75))))**2).\nAnswer: -20 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 303919514894 and 15.04.\nAnswer: 303919514909.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:46 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/((-14)\/(-4)) + 141?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = h - y, 10 = 2*h - 0*y - y. Is h + 210 + (-8)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**2 - 480*w + 14396 = 0?\nAnswer: 59, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 25 = -11. Let p be i\/(-2) + (-2)\/(-4). Suppose -p*x + 15 = -5*g, 0 = -2*x + x + 5*g - 17. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, 1, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1263 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4126 (base 8) in base 12?\nAnswer: 129a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t + 43*t - 1528 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 * -0.1.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 2*z + 3. Let b(c) = -14*c**2 + 11*c - 11. Let v(q) = 5*q**2 - 4*q + 4. Let j(f) = -4*b(f) - 11*v(f). Determine -g(w) + 4*j(w).\nAnswer: 2*w**2 - 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.217 and -0.033322?\nAnswer: 0.007230874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 112 - -5?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 166 - -10021. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 37*g**3 - g**2 + g. Is c(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -176, -206, -204?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -20 (c) -1\/8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 20. Let m = -20.3 + g. Which is the closest to -2? (a) 1\/4 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276532833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.61429 rounded to 2 dps?\nAnswer: -4.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 689, 1460, 2301, 3206, 4169, 5184?\nAnswer: 6245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 k when four letters picked without replacement from lllilclkiccllccl.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2846608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 5 + 9\/4*g**4 + 0*g + 0*g**3 + 2*g**2. Find the second derivative of h(o) wrt o.\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:42 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*b**4)*(53 - 120 + 48).\nAnswer: 38*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -244978882*t**2 - 60256838?\nAnswer: -489957764*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 21\/2*d**2 + 10 + 11\/4*d**3 + 17*d + 1\/4*d**4 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + h - 1. Let d be v(0). Let z be 73 - (0\/2 - d). What is the highest common divisor of z and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5 = 20. Let p(s) = s + 3. Let z be p(0). Put m, z, -1 in decreasing order.\nAnswer: z, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4023018 - 2?\nAnswer: 4023016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 20 = 4*y. Suppose 0 = 6*i - i - 3*h - 11, -2*h - y = 0. Let m(v) = -5*v + 5 - 4 + 4*v. Determine m(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14246, -14030, -13814, -13598, -13382?\nAnswer: -13166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 11:12 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - r - 1. Let n(j) = 6*j**3 - 64*j - 4. Let l(s) = -n(s) + 4*o(s). Let q(h) be the second derivative of l(h). Let a(p) = -p**2. What is q(a(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(1232\/(-1859)) - (10\/16)\/5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0161011561 to five decimal places.\nAnswer: -0.0161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 0*t**2 - 5*t**2)*((3 + 2*t**2 - 3)*(-4 + 4 + t) + 0*t + 0*t + 2*t**3 - t**3 + t - t + 0 + 0 - 2*t**3) + 1151 - 1151 - 3*t**5.\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 23. Let z be p(12). Let j be (-620)\/z - (-4)\/14. Suppose 5*x - j = -3. Calculate the remainder when 5 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552321 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 0*s**4 + 16*s**2 + 1\/4*s**5 + 0*s - 7\/6*s**3 + 0. Differentiate q(u) with respect to u.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/8)\/(4\/80). Is 14 a factor of ((-18)\/(-15))\/(x\/(-425))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -54. Calculate the remainder when h is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3106131\/22 + 1547610\/11. Let o = b - -496. Find the common denominator of o and 39\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - z + 52, -3*u + 2*z - 40 = -3*z. Which is the second biggest value? (a) -2\/21 (b) u (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 = -c, -15*k - 9 = -14*k + 3*c. What is the smallest value in 1, 122, k, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36d3 (base 14) to base 10\nAnswer: -9593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 181*h - 188*h + 366*h + (h - h + h)*(0 + 1 + 0).\nAnswer: -2*h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 2*a = 760. Let w = -83 + a. What is the greatest common divisor of w and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**2\/6 - 3*w\/2 - 5\/3 = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 220004*z - 4. Let y be f(1). What is y rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(-2 + -1*((1*sqrt(17) + 4 - 2*sqrt(51)\/sqrt(3)) + -5))*3)**2.\nAnswer: -3240 + 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 242 = 7*f. Let u = -79 + f. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 4. Let x(m) = -m**2 - 5. Let i(r) = -5*v(r) - 4*x(r). Let g(c) be the third derivative of c**4\/6 + 152*c**2. What is g(i(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1071)\/(-13804)*203*4\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1681068 divided by 12.\nAnswer: -140089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 34*h + 1. What are the prime factors of l(1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*u - 123, -4*u + 5*o + 320 = u. Let v = -17 + u. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*y - 163 - 1285 = -208 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19352*v**3 + 922*v**2 - 50569*v**3 + 21656*v**3 - 922*v**2)*(5*v - 3*v + 0*v).\nAnswer: -96530*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5 and -25574.89?\nAnswer: -38362.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*b - 2*b - 50, 0 = 4*z - 4*b + 48. Let u = z - -16. Suppose u*n + 14 = 16. Solve -4*d = -9 + n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.19 - 9.19. Let d = 8.9 + a. Is d not equal to 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 55.6. Sort 4, f, 5 in increasing order.\nAnswer: f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1230658 divided by 3641.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 a when three letters picked without replacement from abaaasaaasb?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**2 + 2*g + 5 + 0*g - 11 + g**3. Let l be v(4). What is the lowest common multiple of (1 + -2)*(l + 3) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*b + 34*b - 61*b + 194*b + 155*b to q*b + y and give q.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 276 + -483. Let v = -206.99849 - n. What is v rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omro when four letters picked without replacement from mmmmomommoorm?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -102 + v**2 + 102. Let n(g) = 21*g. Give s(n(m)).\nAnswer: 441*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13\/3)\/((-1)\/(-12)). Suppose -2 = a + 4*f - 6, 0 = 5*a + 4*f - s. Calculate the remainder when 3\/6*(-46)\/(-1) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/(-165))\/((-64)\/120).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 348513989.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, -1\/8, 1180, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17.9 - 18. Is s bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -2 (c) -4 (d) -53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 3 - 3)*(f**2 - 2*f**2 + 0*f**2)*(4*f**2 + 10 - 10).\nAnswer: 16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 15 (c) 1 (d) -5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 6*a**2 + 8*a + 2. Let b be p(4). Suppose -3*v = -3*u - 24, 5*v + 3*u = -u + 76. Let o = -17 + v. Sort b, o, 5.\nAnswer: o, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 421 + -701. Find the common denominator of -2 - -5 - (-1185)\/c and (-1)\/4 - (-43)\/(-6).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 5, 26\/31, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 5*b + 5*o + 918 = 0, -3640 = -4*b + 4*o. Is b*((-2)\/(-28))\/((-2)\/(-7)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2676*k**2. Let f(v) = -2*v. Calculate f(m(p)).\nAnswer: 5352*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-12 - (-14 - -13) - (4 - -12))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/12*-3*48\/210.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 292, 380, 298, 10, -520?\n\"Answer: -6*z**3 - 49*z**2 + 277*z + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2879579 and 339?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 350*j**2 - 1633 + 1633 - 2*j**2 + 2*j**2 - 2*j**2 - 2*j - j**2 + 2*j + (0*j + j - 3*j)*(0*j + j + 0*j) - 4*j**2 + 4*j**2 - 2*j**2 - j**2 - 1 + 1.\nAnswer: 342*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 21 - 37 = -3*y, -3*y + 3*r + 60 = 0. Let v be y\/(-20) - (-9)\/45. Let l = 8 + -11. Which is the closest to 1? (a) v (b) l (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 7*f**3 + f**2 + f - 2. Let m be z(-1). Solve 2*r = 7*r + m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/(-21) - 5174\/(-109200)*-10 and -149\/6.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 5701826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194337.\nAnswer: 3, 11, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2484 - -2486. Solve 2*c - 4*c + l*o = -4, -o = -4*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 9. Let b be a\/(-6) - 88\/(-24). Calculate the remainder when 34 is divided by b\/(-6) + (-25)\/(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + -362. Let f = z + 305. Which is greater: -30\/91 or f?\nAnswer: -30\/91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**2 - 3*r + 2. Let n = 4 + -1. Let c = n - 9. Let b(a) = 3*a**2 - 2*a + 1. Determine c*b(j) + 4*w(j).\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -10*x - 59. Let u be p(-6). Let q = -2 + 14. Let v = 18 - q. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*x**2 - 20*x**3 - 41*x**2 - 508335*x + 508335*x + 11*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, 1 o, and 1 j when four letters picked without replacement from {b: 1, j: 1, d: 3, o: 1, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 96224370, 192448738, 288673106, 384897474?\n\"Answer: 96224368*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g**4 + 1790*g**3 + 6616*g**2 + 3514*g - 1320 = 0. Calculate g.\nAnswer: -220, -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 times 0.066?\nAnswer: -2.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - 0.3135?\nAnswer: -0.3335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -95, -255796?\nAnswer: -255796","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 4*a + 272, b = 2*a - 4*a + 90. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z - 2*z - 370 = 558 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-50)\/175 - 456\/(-28) and (-11)\/(-33) + 53\/3?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-88) - (-334)\/(-668)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c. Let j(v) = -v. Let h(u) = 56*u. Let x(q) = h(q) + 48*j(q). What is x(p(l))?\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12950217?\nAnswer: 3, 7, 205559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s - 545 = -521. Solve 14 = -12*q + s*q + 2*g, 3*q = 5*g - 21 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -18588*t. Let n(g) = -13*g. Determine y(n(a)).\nAnswer: 241644*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 33*d + 1717. Let u be a(-26). What is the highest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 - h**4\/4 + h**3\/2 + 6*h**2 - 56*h. Let j(y) = y**2 - 11*y + 5. Calculate -3*j(q) + 5*x(q).\nAnswer: 2*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 451 - 445. Let n(s) = 5*s + 0 + 3 - s**2 + 3. What is n(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.7, -3, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 1470*v - 1469*v = -3*t - 6, -4*v + 12 = -8*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 8*d**4\/9 + 17489318*d**3\/9 + 13116982*d**2\/9 - 4372328*d\/9 = 0?\nAnswer: -2186164, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20925.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2037*0.4\nAnswer: 814.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/8)*i)\/(i*i**(-8\/7)) assuming i is positive.\nAnswer: i**(43\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14952458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4530, -9070, -13608, -18144?\n\"Answer: d**2 - 4543*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 6*m**2 - 2*m - 3. Suppose 0 = -3*a + 7*a + 24. Let u be l(a). Differentiate 40*g - 24*g - u*g**2 - 16*g - 2 with respect to g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/306 and -25\/88609236.\nAnswer: 265827708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -772, 1 in ascending order.\nAnswer: -772, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, e: 2, q: 2, p: 3, c: 4}. Give prob of sequence po.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-58) + (-212245)\/(-855790).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549 is divided by 147?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 75513.87 minutes in microseconds?\nAnswer: 4530832200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2493136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 804*l - 801*l - 1333727 = -4*w, -3*w = -15. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h + 196. Let u be a(0). Suppose -29 = -o + 5*q, -6*q + 2*q = -4*o + u. Let m = -9 - -15. What is the highest common factor of o and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78.300006517 + 78.3. Round b to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5943 take away -1.9?\nAnswer: 5944.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 829 - 4945 = 49*g for g.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-51))\/(4\/6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2871079*f*x + f - 1452994 wrt x.\nAnswer: -2871079*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/5396 + 10825\/59356. Let v = 0 + -0.4. What is the nearest to -7\/3 in x, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tettttttttttetttet?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5948705*k**6*w - 2*k**2*w + 3377801 wrt k?\nAnswer: -713844600*k**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -480, -523, -566, -609, -652?\nAnswer: -695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 94?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**8\/168 + h**6\/90 - 7*h**3\/3 - 6. Let x(s) be the third derivative of j(s). What is the third derivative of x(w) wrt w?\nAnswer: 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*m + l, -2 = -2*m - 8*l + 9*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1714.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*l**3 - 3*l**2 + 327*l**3 + 3*l**2.\nAnswer: 248*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + -4.01. Let v = 3 - 5. Let d be (128\/(-168))\/(-8) + 25\/(-42). Which is the closest to d? (a) -0.3 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + 11111011001?\nAnswer: 11111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2675 in -0.6, 1031, 1, 2\/9?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*1\/9)\/((-86)\/(-6579)*-51).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242223 is divided by 5154.\nAnswer: 5139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/48 + 8*r. Factor p(n).\nAnswer: -n**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*n**2*u**3 + 30*n**2*u**2 - 3*n**2 - 2*n*u**3 + 195*n*u + 29*u wrt u.\nAnswer: -366*n**2*u + 60*n**2 - 12*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -186 and -42699.\nAnswer: -42885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -2\/25 (c) 4.695 (d) 1\/153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 65084*i**2 - 1058916677*i - 2118093698.\nAnswer: -(i - 32543)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 7*o**2 - 4*o - 1. Is a(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -1. Let h(x) = -x - 1. Let z(q) = -h(q) + k(q). Suppose -l = -2*l - 1. Calculate z(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (9 + -7)) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -27*w + 12. Let h(d) = 107*d - 48. Let p(l) = -2*h(l) - 9*o(l). Let q be p(5). Suppose -2*b + q + 139 = 2*u, u = 3*b - 396. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**5\/45 - 7*u**4\/72 - u**3\/9 - u**2 - 18*u. Factor x(q).\nAnswer: (q - 2)*(4*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -264132 (base 7) to base 8.\nAnswer: -140470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -23*u - 5. Let f(q) = 64*q + 14. Let n(z) = 5*f(z) + 14*p(z). Let b(s) = -39*s. Calculate n(b(k)).\nAnswer: 78*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.684535 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**30*l)**(-1\/37)\/(l**17)**17 assuming l is positive.\nAnswer: l**(-10725\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*w = 7*w. Which is greater: -2\/53 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b - 3*b**2 + 6*b**2 + 5*b - b**3 to v*b**3 + m + l*b + x*b**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + 3*5*sqrt(70) + sqrt(70)*4*3)\/(3*(sqrt(250) - 1*sqrt(250)) + sqrt(250)*2*-4))**2.\nAnswer: 343\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 14\/4)*4. Is (-37)\/((2\/(-11))\/n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.78 minus -35561?\nAnswer: 35370.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5756.734 + 5775. What is n rounded to 1 dp?\nAnswer: 18.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 8. What is the remainder when m(-6) is divided by (14\/3)\/2*3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/7)\/(21\/252)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*q + 13 - 13)*(-4*q**2 - 2*q**2 - 24*q**2)*(1 - 2 + 4) in the form v + o*q + h*q**3 + y*q**2 and give h.\nAnswer: -630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 234893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**15*y)\/(y\/(y\/(y*y**(-1\/4)))) assuming y is positive.\nAnswer: y**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/2746445 and -2\/2175?\nAnswer: 41196675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p + 93. Let i be z(31). Factor -16\/9*b**2 + 2\/3*b**3 - 8\/9*b + i + 2*b**4.\nAnswer: 2*b*(b - 1)*(3*b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**4\/12 - 4*v**3\/3 + v**2\/2 + 15*v - 7. Let q = 364 - 370. Let r(n) = n**2 + 9*n - 1. Give q*p(m) - 5*r(m).\nAnswer: m**2 + 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -8*r + 189. Let o = r + -37. Find the first derivative of -20*b**4 + 61 - 2*b**o + 2*b**2 - 36 wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -46*j + 22. Determine s(-4).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2021 = -30*v + 1099. What is the remainder when v is divided by 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**4 - 15780*k**3 + 922*k**2 + 68563926*k wrt k.\nAnswer: -60*k**2 - 94680*k + 1844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 e when two letters picked without replacement from pcepqecepecpcpp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 20. Suppose 3*y - 6*y = 3*p, 3*y = q*p + 40. Solve -y*n - v - 5 = 0, -n - v - 1 + 0 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 237*o = 236*o + 20, -3*s + 10 = -4*o for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124897 * 0.8.\nAnswer: 99917.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t*u - 5*t*y - 4*t + 2*u*y**4 + 3*u*y**3 + 12*u wrt y.\nAnswer: -5*t + 8*u*y**3 + 9*u*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*h - 833, 0 = 12*u - 8*u + 4*h - 3356. List the prime factors of u.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -42. Solve -4*r = 4*l + 16 - 0, -r + u = -5*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92 by -142.\nAnswer: 46\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28843*j**4 - 4*j - 10593?\nAnswer: 346116*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24521.86 rounded to the nearest 10?\nAnswer: -24520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -61, -80, -115, -172, -257, -376, -535?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 13 = -8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1) + 32 + 20444\/(-570) - (-411)\/(-45).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*h**2 + 24*h**4 - 3*h - 4*h + 26*h**2 wrt h.\nAnswer: 288*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g - 2. Let h(l) = -9*l - 5. Let a = 7 - 0. Suppose -3*k = -a - 5. Suppose 38 = 3*w - 2*s, -w + k*s + 7 = 1. Calculate w*b(m) - 6*h(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(81)\/sqrt(3))*6*6.\nAnswer: 144 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 928750 and 1000078?\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 316570 times -19\nAnswer: -6014830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/195*(23643\/(-851) - -28)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -20. Suppose a*r - 717 = p + 2*p, 0 = r - 5*p - 161. What are the prime factors of r?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cta when three letters picked without replacement from {c: 6, u: 2, t: 1, h: 3, s: 2, a: 5}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 469 + -811. Let p = -1367\/4 - v. Which is the closest to 0.2? (a) p (b) -5 (c) -4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2134199 meters in micrometers?\nAnswer: 213419.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -2125896.\nAnswer: -2125891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*b + 66, -4*w + 6*b + 74 = 4*b. Solve w = -2*n + 6*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*t**3 - 28 - 26*t**3 + 50*t**3 + 80.\nAnswer: -22*t**3 + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 7. Let r be (6\/(-5))\/((-2)\/10). Let l be s(r). What are the prime factors of 0 - (-7 + 1 + l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a litre in millilitres?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 241*n + 159. Give s(-2).\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -331203 + 232?\nAnswer: -330311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2736*o - 88 = 2749*o + 42 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -83, -4, 5, -2 in decreasing order.\nAnswer: 5, -2, -4, -19, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 2 - 0 - (17 - 14699013). What is s rounded to the nearest 100000?\nAnswer: 14700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(50) + sqrt(800))*4)\/(2*sqrt(90)) - ((1*sqrt(245) + 1)*6)**2).\nAnswer: -8853 - 1502*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -33*a + 845. Does 33 divide q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-54))\/((-1)\/(-4)). Let w = -21 + 20. Is w greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 9*d**3 + 6 - d**2 - 124*d - 5 + 8*d**3 + 1 in the form w + t*d + f*d**3 + y*d**2 and give t.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457249 + 61*g**3 + g + 457249 - g.\nAnswer: 61*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11751, 11752, 11759, 11778, 11815?\nAnswer: 11876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-5 - 0) - -25. Let c be (60\/t)\/(-4) - 26\/(-10). What is the smallest common multiple of (4 - (0 + c))*33\/6 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 23 = 2*b, -4*r = 3*b - 0*b - 8. Let q be -82 - -82 - (0 + 76). Let a = q + 74. Put -7, 3, a, r in ascending order.\nAnswer: -7, a, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40\/28)\/((-96)\/(-84))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d)**(-3\/14)*(d\/(d*d**(-2\/3)))**(-12\/5) assuming d is positive.\nAnswer: d**(-71\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + t + 1. Let r(s) = 114*s - 2734. Let c be r(24). Let u(v) = -v**2 + 4*v - 1. Determine c*g(l) - u(l).\nAnswer: 3*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7819952 and 9072.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 13. Let i(v) = -6*v**m + 18 - 38 + v - 3*v**2 + v**3 + 19. What is i(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + g**2 + 1. Let d(v) = v**3 + 2*v**2 + 3*v. Let u = -5473 + 5476. What is u*x(h) - d(h)?\nAnswer: 2*h**3 + h**2 - 3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**3 - 2*d**2 - d - 4. Give f(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*-1*1\/(-2). Suppose -2 - 2 = -4*t. Let y = x + t. Solve -4*m + 2*l = -8, 9*m - y = 4*m - 2*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -60. Do 26 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j**3 + 11*j**3 - 3 + 3*j**3 + (-3 + 1 + 0)*(0*j**3 + 2*j**3 - j**3) + j**3 + 4*j - 4*j.\nAnswer: 9*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 14*x - 15. Let m be q(10). Let l = m - 19. Is 45\/30*164\/l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*o - o. Let u(p) = p**3 - 3*p**2 - 2. Give u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from naagnaeake?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 24. Let y be 6\/(-4) - 6\/b. Let v(n) = n + 1. Let w = 2480 + -2481. Let x(a) = -3*a. What is w*x(d) + y*v(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 165, -155, -715, -1629, -3011, -4975, -7635, -11105?\nAnswer: -15499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530531 is divided by 66293.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j = r - 12, 586197*r - 56 = 5*j + 586198*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*j + 36*j - 104*j + 40*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*k**2*r**2*x**2 - 31*k**2*r**2 + 28*k**2 - k*r**2 - 12*r*x**2 wrt r.\nAnswer: -24*k**2*x**2 - 62*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q**1)**40 assuming q is positive.\nAnswer: q**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 111.1 times -735\nAnswer: -81658.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3074\/(-212))\/(((-3)\/(-2))\/((-42)\/7))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/420 - 6\/(-36)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35413 is divided by 2670?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, c: 3, n: 1, v: 6}. What is prob of picking 1 c and 1 n?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 - (-3 + (-4 - -9)). Let n(u) = 9*u**2 + 4*u - 5. Let a(y) = 10*y**2 + 5*y - 6. What is f*n(i) - 4*a(i)?\nAnswer: 5*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*z + 2276, -4*i + 2288 = i + z. Suppose -51*r + 693 = -48*r. Suppose -i - r = -8*t. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.53 - 5.63. Which is the closest to -3? (a) -1 (b) m (c) 0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q. Suppose -2*s = -3*y - 13, -2*s + 2*y + 18 - 6 = q. Suppose 0*p = -p + 5, -s*u + 145 = -3*p. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1918*i - 1948*i + 4)*(-2*i**2 + i**2 + 2*i**2).\nAnswer: -30*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/3717 and 35\/4248.\nAnswer: 29736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 3:12 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -218, -8, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17988552745 + 11989?\nAnswer: 17988564734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 53 = -85*u - 337 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -11*f**2 + 4*f + 2. Let o(s) = -9*s**2 + 3*s + 3. Let g(h) = -4*b(h) + 5*o(h). Give g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 + 45321309*x - 2054021049473481\/2.\nAnswer: -(x - 45321309)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 3*z - 4 - 10*z as k*z + p and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1569 by 159.\nAnswer: -523\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 7*u**2 - 1. Let k be x(1). Suppose 0 = 3*b + 1 - 7. Let o be 1*b\/(3\/3). Solve -2*t = -k*t - 12, -o*g - 20 = 4*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 175700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110324 by 2.\nAnswer: -55162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.4. Let w = 14 - 19. Let m = w - -4. What is the third biggest value in -5, r, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 15. What is the remainder when 114 is divided by v(14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 + 18 = 3*j + o, 3*j = 4*o + 93. What is the second derivative of -j*b**2 + 5317*b - 2671*b - 2924*b wrt b?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 - 7*k**2 - 51*k - 7. Let u(g) = -4*g**3 + 7*g**2 + 68*g + 7. Let h(m) = 2*u(m) + 3*x(m). Calculate h(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 176 = 2*a, a + 1 = -3*x + 83. What is the remainder when 908 is divided by a?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - -27. Sort v, 2\/3, 3\/7 in increasing order.\nAnswer: 3\/7, 2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -y - 5*v, -2*y + v + 316 = 3*y. What is the remainder when 381 is divided by y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + v**2 - 8*v**3 - 1 - 2 - 3 in the form y*v**3 + q*v**2 + r*v + g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134317 is divided by 44696?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20434.9999991109 - -20435. What is p rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-1\/34)*f**(-9))\/((f\/(f*(f\/(f\/((f*((f\/(f**(19\/5)*f))\/f)\/f)\/f))*f*f)\/f))\/((f*(f*f**(-22))\/f)\/f)) assuming f is positive.\nAnswer: f**(-5741\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b**1*b))**(2\/47)*((b*b**10)\/b)**42 assuming b is positive.\nAnswer: b**420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 - 52\/(-39). Suppose -x*z = -z - 9. Suppose 16*j - 19*j = -72. Calculate the lowest common multiple of j and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 3*p - 4*p)*(p**3 + 0*p**3 + 0*p**3) + 0*p**4 + 5*p**4 + 0*p**4.\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 - 0.08. Let h = y + 0.02. Let p = h + 0.11. Is p less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1371530295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 86454980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14*o**2 + 10*o - 10. List the prime factors of m(8).\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:07 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 21076354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*p. Let n be -3 + (3 - p) - 0. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - -24218e?\nAnswer: 24219a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {l: 1, q: 1, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 + 15 = -o. What is the common denominator of 1\/60 and ((-2)\/14)\/(o\/(-1141))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -70. Let u be 8\/k + 27\/21. What is the greatest common divisor of 9 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6069 is divided by 179?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n = 38 + 66. Suppose 0 = -10*h + 701 - 61. Calculate the highest common divisor of n and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559150739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10927456 * -0.15.\nAnswer: -1639118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.07 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 320*z + 1129 - 1129 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 plus 0.13291?\nAnswer: 17.13291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1. Let r(b) = -b - 1. Let h(a) = -r(a) + 3*v(a). Let l be h(6). Suppose -i + l = i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3, -0.5, -0.6, -2, 1\/3, -4780\/33?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -26*o. Suppose -3*s + 34 = -4*a, -2*a + 74 = 22*s - 17*s. Let h(m) = -9*m. Calculate s*h(x) - 4*d(x).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c + 1968. Let o(l) = -8*l + 3938. Give 7*j(g) - 4*o(g).\nAnswer: -3*g - 1976","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/13)\/b)**(1\/47) assuming b is positive.\nAnswer: b**(-2\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 6:42 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -84*b**5 + 48640*b**4 + 5765924*b**3 + 178323904*b**2 + 1644192528*b - 568092096 = 0?\nAnswer: -429\/7, -22, 1\/3, 684","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 648 - 1474. Let b = 921.18 + -98.89. Let m = r + b. What is m rounded to 1 decimal place?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3626 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 14*q**2 + 83. Calculate k(13).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 46899, 93756, 140603, 187446, 234291, 281144, 328011?\n\"Answer: g**3 - 11*g**2 + 46883*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 1095*i**2 - 14078*i - 12984.\nAnswer: -(i + 1)*(i + 12)*(i + 1082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 233862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -18193 divided by -7721\nAnswer: 2599\/1103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4202616922?\nAnswer: 2, 7, 199, 499, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/6))**(1\/12)*(a**(-11)*a*a*a)\/(a*a\/a**(4\/9)))**(-28) assuming a is positive.\nAnswer: a**(4823\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1200)*-5 - (sqrt(12) - -5*sqrt(300)))\/(1*-5*(sqrt(4) + (4*(sqrt(4) - sqrt(256)) - sqrt(4)))).\nAnswer: -19*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + -46 - -60 - (33 - 3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -421 + 46. Suppose 5*j + p = 7*v - 2*v, -3*j = 9. Suppose 2*g - 4 = -v. Let i(r) = 6*r + 5. Calculate i(g).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 7*w. Let r(h) = 3*h + 5*h - 3*h + h. Let z(x) = -5*b(x) + 6*r(x). Let n(u) = -u. Determine z(n(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 11. Let f be r(-6). Let g = -2 - f. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 13) to base 4\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -19*a**2 - 4*a**2 + 0*a**2 - 28*a**2. Let p(t) = -7*t**2 + 5. Let h(m) = 4*m**2 - 3. Let u(y) = 5*h(y) + 3*p(y). What is q(u(c))?\nAnswer: -51*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s - 38*s - 6 = -5*j, s + 5*j = -22. Let m(a) be the second derivative of a**3\/6 + 6*a**2 - 2*a. Determine m(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 3*p**5\/5 - 3*p + 5. Differentiate h(m) with respect to m.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**5\/5 + w**4\/4 - 5*w**3\/3 + 3*w**2\/2 - 3. Suppose n(z) = 0. Calculate z.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25150*d**2 - 15906*d**2 + 75112*d**2.\nAnswer: 84356*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67 - -67.34. Let p = b + -0.374. Let f = 0.036 + p. Round f to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2875*b - 600. Let d(r) = 43*r - 9. Let i(n) = -200*d(n) + 3*y(n). Let a(z) = -7*z - 4. Give i(a(c)).\nAnswer: -175*c - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13144 + 19243. List the prime factors of u.\nAnswer: 3, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/15 - 826\/(-10). Suppose 0 = y, y + 19 - a = -4*n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 8226*o - 26735685. Give i(2494).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133 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 14563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 5:03 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/690 - 7*u**4\/138 - 5*u**3\/23 - 11*u**2 + 6. Solve k(t) = 0 for t.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/11? (a) -0.16 (b) 1\/4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h**2. Let r(m) = -m - 102919. Give r(g(k)).\nAnswer: -10*k**2 - 102919","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is caa - -17bd0?\nAnswer: 1898a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 11) to base 14.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13976 divided by -3494\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 14 = 2*n - 3*z, -z + 18 = 5*n. Let x be (-14)\/7 + 2*n. Suppose 6*g + x = 4*g + 2*d, -2*g + 3*d - 7 = 0. Which is smaller: -3\/4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2450 != 1150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (3 - -1) + -6 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3102*x = 102582 + 24600 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 - (4 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -151 - 134 - 20*i + 284. Calculate x(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, a: 3}. Give prob of sequence qqaq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 63, 215, 511, 999, 1727?\nAnswer: 2743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.524 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/3515 + 362099\/63270. Find the common denominator of -25\/33 and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 710 - 368. Let o = 392 - u. Let p = 23 - -3. What is the remainder when o is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*k - 3*k + 9 = 0, -2*u - 5*k = 23. Let d be u - (-11)\/(-9) - (-184)\/18. Suppose -d*g + 438 = -4*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234536?\nAnswer: 2, 19, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 15 = 2*s, 3 - 12 = -2*s - 3*d. Suppose -2*v = 1 - s. Let f = 86 - 85. Solve -v = c + f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/1)\/((-10)\/20). Suppose 5*m - 6*t + 225 = -p*t, t - 90 = 2*m. Is 55\/2 - m\/(-30) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31000 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 205349.121ms in days?\nAnswer: 0.0023767259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fbd + 189?\nAnswer: -1e34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 5) + (-4 - -11) + 27 + -25\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3144*f - 3146*f = 59, 5*h + 5*f - 90 = -0*h for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Suppose -7*i = -11*i - 4*x - 4, 5*x - 7 = -i. Give w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 - 163581463630581*x**2 + 163581463630581*x**2.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6858 or -0.042?\nAnswer: 6858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 37177 divided by -6\nAnswer: -37177\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*y + 249 + 149, 3*a - 8*y - 289 = 0. What is the smallest common multiple of a and 155?\nAnswer: 15345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*n**2 - 79*n**2 + 25*n**2 + 50*n**4 + 19*n**2 - 2*n + 23*n**2 - 1 in the form l*n + x*n**4 + j*n**3 + m*n**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 - 61750*v\/3 - 13125000.\nAnswer: 2*(v - 31500)*(v + 625)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, b: 1, a: 1, o: 1, g: 1, w: 2}. Give prob of sequence wagl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*z - 5*a, -5*z + a - 10 = -29. Let w(i) be the third derivative of -i**6\/120 + i**5\/10 - i**4\/4 - i**3\/3 + i**2. Determine w(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.198748 to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1167446.3763 to the nearest 100.\nAnswer: 1167400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 342, 1545, 3542, 6327, 9894, 14237, 19350, 25227?\n\"Answer: -n**3 + 403*n**2 + n - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177941397 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/174*6\/(-4)*((-224)\/(-14))\/(-32).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 94*y + 17*y + 14*y + 24*y as u*y + i and give u.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 14 = 2*b. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40837547*y**3 - 6490237*y**2 - 4*y wrt y.\nAnswer: 245025282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*u + p - 80 = -34*u, -3*u + 235 = 2*p. What is the tens digit of 19101\/15 + (-10)\/u*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 1. Suppose -3*u + 8*u = -q. Let r be 0 - (6*-2 - u). Solve -1 = -4*n + r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 5}. Give prob of picking 1 j and 1 p.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -198 smaller than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 32, 75, 156, 287?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (528 + 398 - 361 + 96 + 484)*(-3 + i + 1 - 2).\nAnswer: 1145*i - 4580","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u. Let w(x) = 2352*x + 140. Let z(g) = 50*g + 3. Let i(l) = 3*w(l) - 140*z(l). Calculate i(t(v)).\nAnswer: 112*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + 3. Let w(b) = -9*b + 9. Let p(f) = -11*t(f) + 4*w(f). Let d be p(2). Is 18*d*(-6)\/27 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7 = 1, -3*c = 2*r - 222211. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6840362 (base 9) to base 5\nAnswer: -1421000311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001638394 to seven dps.\nAnswer: -0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - a = -6*a + 25, 5*a = 25. Let u = z + 37. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*d - 487 - 526 = 283 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m + 2*u - 353, 2*u - 1412 = -4*m. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*28\/24)\/((-34)\/51).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10612083?\nAnswer: 3, 47, 73, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 - 5*t**3 + 3*t**3 + (4 - 2 + 0)*(2*t**2 + 2*t**3 - 2*t**2))*(2*t + 0*t - 6139*t**2 + 6143*t**2 + 5).\nAnswer: -4*t**5 - 2*t**4 - 5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 11*h**2 + 13*h**2 - 2*h**4 + 6*h**3 - 1 - 24*h**2 to a*h + n*h**2 + o*h**3 + m*h**4 + p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.9972 minus 46?\nAnswer: -27.0028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 382*b**3 + 394 wrt b.\nAnswer: 1146*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + -0.3. Suppose -7 = 3*d + d - 3*y, -d = 5*y - 27. Let c be d*(1\/2 - 0). What is the nearest to c in 0.5, -2\/9, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**3 + 23*p**2 - 15*p - 8. Calculate j(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 233, 238, 241, 242, 241, 238?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 5, w: 5, l: 8}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**3 + g**2 + g + 1. Let n be d(-1). Suppose n = -3*o - 1. Let s be (30\/20)\/(o\/(-10)). Solve -5*r - j = 3*j + 7, -17 = -2*r + s*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 5, x: 4}. Give prob of sequence iia.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2254 equal to 147219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8. Suppose -a + 9 + 46 = h. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112 - 252*k + 230 + 2*k - 2*k - 111 to the form g + a*k and give a.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 455, 678, 659, 278, -585, -2050, -4237, -7266?\n\"Answer: -20*n**3 - n**2 + 366*n + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -3) + 3 + 167. Suppose -45 = 2*k - n. Let o = 104 - k. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(-2 + 1) + (-5 - -9). What is the first derivative of p**3 - p**3 - 4288*p**z + 2 + 4303*p**4 wrt p?\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4) + (-15)\/12. Let y = -2 + 1. Which is the closest to y? (a) -0.3 (b) 0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 4*r - 119 = 0, 2*d = -4*r + 215 - 141 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 12*h**2 - 11*h + 14. Give y(-8).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95660302 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-4) + 99\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2531, -20991, -71079, -168617, -329427, -569331, -904151, -1349709?\nAnswer: -1921827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 46. Let f = s + -5. Is (-2)\/(-5) + ((-418)\/(-5) - f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 16*m - 4. Calculate w(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 234\/35 + -44\/7. Let f = -1.743 + 1.443. Which is the third smallest value? (a) f (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1.33\nAnswer: 0.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**2 - 4*m + 5. Let v(x) = 9*x**2 + 18*x - 4. Let p(q) = -8*q**2 - 15*q + 4. Let y(i) = -5*p(i) - 4*v(i). Give -2*n(b) - 3*y(b).\nAnswer: -2*b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30069*l**2 + 35089*l**2 + 11729*l**2 + 109028*l**2.\nAnswer: 185915*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - (10 + (0 - 3)) - (42 + -34).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1058 and 0.5.\nAnswer: -529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.07865 + 0.07865. Let u be ((-1)\/(-5))\/(4\/(-10)). Which is the nearest to -1.4? (a) -3 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -17*m**2. Let s(h) be the third derivative of -h**5\/20 + 44*h**2 - 2. Calculate s(k(x)).\nAnswer: -867*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17643209 is divided by 326726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 6. Let z be t(-11). Suppose -2*g + 4*f - 8 = 0, -z*g + 2*f = -3*f + 10. Suppose -85 = -g*c - c. What are the prime factors of c?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7824, 10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1141, -2283, -3427, -4573, -5721, -6871, -8023?\nAnswer: -9177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 112, 167, 222?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/84 + 22\/(-77)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -10 + (-3817)\/(-253).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 963, 646, 113, -636, -1601?\nAnswer: -2782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/5443 + -538817\/54430. Calculate the common denominator of l and 79\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*(0 + -1))\/((-1)\/29). Let t = a + -29. Solve 3*s = -t*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1555 - 1085. What are the prime factors of x?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3484430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*d - 595, -2*d - 2*d = 5*x - 768. Is d >= 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*n**3 + 2*n**3 + 0*n**3 - 2*n + 0*n**3 to k*n**2 + w + j*n + r*n**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 45, 74, 103?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.6 + 0.7. Let m = k + -4. Let z = m + -0.299936. Round z to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -6) + (4 + -2 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -374863 - 26.\nAnswer: -374889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -41. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 96, 132, 150, 144?\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 121 - 485. List the prime factors of c.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 1. Suppose 0 = 2*g + 3*d, 5*g + d = -0*d - 13. Let p(b) = 2*b - 1. What is g*j(f) + 5*p(f)?\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -86902.53 and -0.5?\nAnswer: 43451.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 255\/2 + (-2)\/(-4). Suppose 231 = 2*x - 3*j, -3*j = x - 2*j - r. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(1*4*(-4)\/(-16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/69 and -139\/90?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkwkkuuwcwcwkkylk. What is prob of picking 1 k, 1 l, and 2 u?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 755641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22869449 or -22869451?\nAnswer: -22869451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 14 = f. Suppose -3*u = -f*u - 3. Suppose u*n = 6*n - 9. Solve 0 = -4*x - 4*w + n + 1, -6 = 2*x + 4*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5317 (b) -30 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11118?\nAnswer: 2, 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 7. Let j be o(-5). Suppose 7*u = 2*u + 25. Suppose -i = -u*i. Is i != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1115453 (base 6) in base 11?\nAnswer: -398a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 9. Let f be 8\/(-3)*(-3)\/a. Let s(u) = -u**3 - 3*u**2 - 3. Is s(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:47 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 23.1 (b) -3 (c) -1731 (d) -1\/2 (e) 2\/5 (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + (sqrt(396) - (-1 + sqrt(396)*-2)))**2 - ((-5 + 2 + sqrt(396))**2 + ((2 + sqrt(396))**2 - sqrt(396)) + 4)) + -5.\nAnswer: 342*sqrt(11) + 9905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 187*g**2 - 2*g - 68 wrt g.\nAnswer: 374*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10975 (base 10) to base 11\nAnswer: 8278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*x + 53 - 581 = 109. Calculate the greatest common factor of x and 770.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543405 is divided by 74?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/20598688 and -139\/1056?\nAnswer: 61796064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 - 97*h**2 + 5*h + 482. Determine c(24).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g = -4940 + 23244. Is g a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 s, and 2 t when four letters picked without replacement from {y: 2, i: 7, s: 1, t: 4, v: 4}?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2893313 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 40 + (-12 - 5) + (1 - 7).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/43, 1, 0.1, 19, -1.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(147) + -1 + 5 + 6*sqrt(3)*2 + 2.\nAnswer: 6 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 4*j + 2800 + 1960, -2390 = -2*n + 4*j. What are the prime factors of n?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 3*x**3\/2 - 2*x**2 + 145*x + 7. Let j(n) = -8*n + 5. What is -4*j(f) - 5*q(f)?\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/18 and -109\/102?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - c - 4*c)*(3480*c**2 - 3474*c**2 + 5*c**4 + 8*c**4).\nAnswer: -13*c**5 - 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18893601?\nAnswer: 3, 31, 22573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -5*t - w - 5, 4*t = 3*w + 1. Differentiate 1 + 2*k**2 - 2 - 5 + t with respect to k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 991 + -988. Let n = s - 4. What is the nearest to n in 6\/13, -0.2, 2\/9, 2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 40517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -478*b**6 - 125*b**2 + 1 wrt b.\nAnswer: -57360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yllyollolyoaloyaoll. What is prob of picking 2 y and 1 l?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 836558.982 microseconds?\nAnswer: 0.000001383199375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q + 2. Let x(k) = -11*k. What is x(i(g))?\nAnswer: -44*g - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20299839 is divided by 1168.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 88*r**3 + 3*r**2 - 14*r + 22. Let x be a(2). Let l = -298 + x. Calculate the remainder when l is divided by 105.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -0.05.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*l**5 + 0*l**3 - 2*l**3 - l**3 - 12*l**4 + 18*l**2 - 52*l**5 = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t = -202*t - 3094 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1526187 divided by -117399\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11156356903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and (-25)\/((-100)\/56) - -142.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13367228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3456*t + 10407. Calculate a(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/((-1108)\/1385*1\/(12\/(-9)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13798 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 730 + 188983.6?\nAnswer: 189713.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -37. Let p = 0.89 - 0.839. Let f = p - 0.251. Sort -1, f, -3, j.\nAnswer: -3, -1, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000524 rounded to seven decimal places?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12078 and 44256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 1 = -4*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113012 = 1869*y + 1324*y - 219*y for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-99)\/66)\/(-1 - (-13)\/14). Find y such that 383*y - c - 40 - 329*y + 4 + 3*y**2 = 0.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/3 - 261911*z = 0. What is z?\nAnswer: -785733, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 190500 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -541976 by -541976.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 597, 1344, 2389, 3732, 5373?\nAnswer: 7312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -827378*k**4 + 18233*k + 2 wrt k?\nAnswer: -9928536*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 12.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 637183, 2548656, 5734415, 10194460, 15928791?\n\"Answer: 637143*b**2 + 44*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + 5 + -1) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (17 - (-25 + 16))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*-58803\nAnswer: -2940.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(117\/2106).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + 1)*-1 + sqrt(1100))*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) 1\/6 (c) -0.2116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 - 234*z + 127. Give j(58).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5621187436.\nAnswer: 2, 1405296859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12305 and 26883665?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*f + 35, -5*f = -f + 4*y - 40. Suppose 5*a = 5*l + f, -4 = -l - 5*a + 1. Let m be -1 - -3 - (-108)\/(-51). Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*m = 3*x + 3597, -2*x - 1800 = 2*m. Let a = -464 - x. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -48\/9749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1524 is divided by 506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 667 + -570. Let h = c + -97. Is 2\/1229 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 108 - 75. Let l = -29 + d. Is (2\/l*157)\/((-7)\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p + 56 + 8 = 0. Factor -2\/7*g**3 - 4\/7*g**p + 2\/7*g + 4\/7.\nAnswer: -2*(g - 1)*(g + 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 26 = 3*g - 35, 0 = 2*g + 5*s - 45. Let k be (0 - 20)*g\/(-16). Let b = k + -15. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 264 and 10032.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 154\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**2\/2 - 1150. Let b(o) = 3*o**2 - 7. Determine t(b(n)).\nAnswer: -3*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88823\/150 - -15258\/25. Calculate the common denominator of o and (-2)\/144*(-170)\/4.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298693767.\nAnswer: 3, 1601, 62189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q - q - 1)*(-138*q + 280*q - 148*q + 38).\nAnswer: 12*q**2 - 70*q - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 9*x - 8. Let v be b(10). Suppose 4*s - v = -22. Let r(t) = t + 1 + 0*t**2 - t**2 - 6*t - 7. Determine r(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 2096*o**2 - 50870*o - 223. Determine l(24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -30\/7 (c) 61 (d) 5 (e) -2\/7 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -170.31 - -170.22. Suppose -x = -2*x + 1. Which is the closest to x? (a) -2\/3 (b) -1\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -270.1 + 270.1. What is the closest to -0.1 in 0.01, 1, -1\/35, p?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150080, -150089, -150098, -150107?\nAnswer: -150116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3043572*m**4 + 2527871*m.\nAnswer: -36522864*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2872 is divided by 2870.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4966.23 months in millennia?\nAnswer: 0.4138525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 24*f**2 - 2*f - 28. Suppose -4*o + 24 = -s + 115, -o - 2*s = 34. Calculate the lowest common multiple of (40\/(-6))\/((-3)\/9) and a(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + w)*((-2*w - w - w)*(0 + 1 + 5) + 4*w - w - 5*w) to the form z + x*w**2 + n*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.4147 * 4.\nAnswer: 53.6588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*j - 4 = -0, 5*v = 2*j - 4. Suppose 4*c = -4*o + 480, -4*c - 5 + 21 = v. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*103456.4\nAnswer: 12414.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3011593, 3011595, 3011597, 3011599, 3011601, 3011603?\n\"Answer: 2*n + 3011591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/(-88))\/((-1)\/(-154)). Is n at least 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4.4. Let p = -335 + 5697\/17. Which is the closest to -1? (a) p (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 49*p - 650. Determine j(-25).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44050 and 100?\nAnswer: 88100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 339\/581 - 1\/83. Let n = 0.3 + 10.7. Let o = n + -12. What is the closest to p in -0.1, o, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44395520 divided by 13\nAnswer: 3415040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*g - 38, -4*p = -4*g - p - 52. Is (-16)\/40 - 10774\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.116346363 rounded to five decimal places?\nAnswer: -0.11635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 23*v + 1. What is b(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/5 + 93*a**2\/5 - 372*a\/5 - 468\/5.\nAnswer: -3*(a - 26)*(a - 6)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -111.5751.\nAnswer: -55.78755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*i - i + 4, -5*i - 20 = 3*w. Let g = -3 - w. What is the second derivative of 3*o**5 + 4*o - o**5 - g*o wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.3. Let v = 159\/52 - 30\/13. Sort v, 0, a in descending order.\nAnswer: v, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -8*p**7\/735 + p**6\/70 + p**5\/105 + 9*p**2\/2 - 7. Let k(x) be the second derivative of b(x). Factor k(h).\nAnswer: -4*h**2*(h - 1)*(4*h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b**3 - 111*b + 81*b - 30*b**2 - 29*b**3 + 14*b**3 as w*b**3 + k*b**2 + f*b + u and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -79147 divided by -11\nAnswer: 79147\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 34 = -2*b, 3*b = -2 + 5. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s - 5. Suppose -3*t + 8 = -13*a + 15*a, 11 = 3*a + 5*t. Let x(f) = -2*f + 2. Calculate a*x(o) + 3*p(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*g**2 - 19*g**6 - 5921 + 5921 wrt g.\nAnswer: -2280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/20 + 7*g**2. Let l(k) be the third derivative of k**5\/15 + k**2. Determine l(s(f)).\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/12420 and -107\/45954?\nAnswer: 459540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 7*v = -14. List the prime factors of 3*v\/(-7) - (1 - 29).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.010522.\nAnswer: -0.0021044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -119?\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -572, -2 in ascending order.\nAnswer: -572, -8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*z + 62, -16*z - 5*d + 0*d = -d + 136 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 7*c**2 - c + 1. Let k be j(7). Let o(p) = -9*p**2 + 5*p + 14. Let a(y) = 5*y**2 - 2*y - 7. Let h(r) = 11*a(r) + 6*o(r). What is h(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 10 - 8. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**2 - 13*a - 23. What is the hundreds digit of h(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8442.628m in centimeters?\nAnswer: 844262.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -28.99. Put 4, -5, 2\/17, o in ascending order.\nAnswer: -5, o, 2\/17, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6424690859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103439973 to the nearest integer?\nAnswer: 10171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/9 and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 76*h**6\/3 + 821*h**2 - 2426. What is the second derivative of y(u) wrt u?\nAnswer: 3040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**12\/(a**10\/((((a**9*a)\/a)\/a)\/a)) assuming a is positive.\nAnswer: a**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 821 - 5717. Let o be (g + 2)*(3 - 33\/6). Suppose -f - o = -6*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1905595 and 143\/11433570.\nAnswer: 11433570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15043\/3 + 526537\/105. Find the common denominator of z and (-4 + 176\/40)\/((-2)\/150).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146016 is divided by 35755?\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.18 - -0.187. Let y = -0.00699926 + u. What is y rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/7, 1\/5, -119?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102667 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 7 = -2*v + 5, -2*q = v + 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 8*r + 9*r = -1, -4*s + 5 = -5*r. Suppose 10393 = 19*u - s*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 556643 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/(-51) - (3 + (-512)\/6). What is the highest common divisor of f and 581?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 23. Let b = 0.359 - 0.059. What is the second biggest value in 3, -5, t, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 - 3*h - 4. Let u be r(-3). Suppose 0 = q + 5*l + 35, -4*l = 3*q - 9*l + 65. Let z = u - q. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1652*g + g**2 - 509*g - 741*g.\nAnswer: g**2 + 402*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-19)\/(-171))\/(3\/1358397) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 7*z**2 - z + 2. Let x be p(-7). Suppose 0 = -4*c + c - x. Let g be 2*c\/(-12)*4. Solve g*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 4*m**2 + 3*m. Let k be r(3). Let y = 2 + k. Suppose 0 = 3*h + y*h - 120. What is the greatest common factor of h and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 5, 1\/12, 2551?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/16)\/((-7)\/(-140)). Suppose -10493 = v - 2*v + i*a, 3*v - 5*a = 31439. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(-201*u + 167*u - 269*u)*(u**2 + 2 - 2) + 9 + 7*u**3 - 9.\nAnswer: -902*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1581422936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -8. Suppose 17 = t + 3*n + 4, 11 = 5*t - 3*n. Suppose 6 - 2 = t*o. Sort o, -4, p.\nAnswer: -4, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:20 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11 - -2542106654032.\nAnswer: 2542106654032.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.5*-1.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 5. Let w be f(-4). Let d = 427 - 407. Suppose 5*p + 5*v - d = 0, 32*p - 27*p + 2*v = 14. Solve 0*q - b + p = -q, 0 = w*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1427*v**2 - 20*v + 19. Is 62 a factor of f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 533*i = 485*i - 240 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3 and -33\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 2*d**2 - 3*d + 5. Calculate the remainder when 38\/3 + 2\/6 is divided by c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 5*b - 5. Let g(w) = -w**2 + 2*w. Let u(p) = 4*p**2 - 8*p + 1. Let o(a) = 9*g(a) + 2*u(a). Determine 10*o(i) + 4*r(i).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, d: 2}. Give prob of sequence dc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7 = -49. Let m = -26 - a. Suppose o + 2 = m*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 5*d + 7. Suppose -p + 4*n = 14, -3*p + 4*n = p + 8. Suppose -3*t - 3*m = 24 + 6, p*t - 10 = 4*m. Give l(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaaxaxaxaxxxxax. What is prob of picking 2 x?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0697999t?\nAnswer: 69799900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95464 - 95462. Factor 0 - 18\/5*g**4 - 8\/5*g - 42\/5*g**3 - 32\/5*g**y.\nAnswer: -2*g*(g + 1)*(3*g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -70950, -70946, -70940, -70932, -70922, -70910?\n\"Answer: r**2 + r - 70952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 4, -0.3, 18 in descending order.\nAnswer: 18, 4, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11370 and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19249.\nAnswer: 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16267\/1228 - 1\/307. Find the common denominator of 29\/14 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 11*t - 4. Let a be k(7). Suppose -3*n + a = 4*o - 0*o, -3*n + o + 39 = 0. Suppose -n = 4*w, l + 6 = 3*l - 2*w. Solve l = v - 6*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000100 (base 2) to base 16.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3683 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(6\/156). Suppose -20*q = -z*q - 8330. What are the prime factors of q?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15800*d**5 + 8*d**4 - d**2 + 6291*d wrt d?\nAnswer: -316000*d**3 + 96*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*c - 7, -2*g + 1026*c = 1022*c - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*m**6 - m**4 + 42*m**3 - 4*m**2 - 9*m + 280.\nAnswer: 4200*m**3 - 24*m + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931 is divided by 327?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110129672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 52572*c + 578050.\nAnswer: 2*(c - 26275)*(c - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 759315 and 346629.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -23, -24, -0.1, 3\/19, -3, 3?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/16 greater than or equal to 0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-2 + 0 + 33). Suppose 0 = 3*i - 2 - g. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-65)\/26)\/(-21)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2027 + 143.9027. Let b = r - 144. What is the fourth smallest value in 1\/3, b, 1\/2, -4\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/2*11\/(-3872)*-8.\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b157 (base 13) in base 3?\nAnswer: -11010211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ad (base 16) to base 7\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**5\/120 + 5*d**4\/24 + d**3\/2 - 3*d. Let x(f) be the second derivative of a(f). Suppose 0 = -9*z + 5*z. Determine x(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*x - 8*x**2 - 2*x**2 + 7*x - 21*x + 15*x to the form r + g*x + h*x**2 and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/88 and 77\/408 + (-4)\/6?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/32)\/(44\/(-880)) - -2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.073, -4, -0.3 in decreasing order.\nAnswer: 0.073, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 18 = 5*q. What is the highest common divisor of q and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, m: 6, n: 5}. Give prob of sequence mm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 42. Suppose d = 8*h - h. Let v = 5 + -1. Solve -h*a - a + 9 = 3*w, -v*w = -a + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (68 - 51 + 57 + 29)*((4 - 4 + 2)*(1 - x - 1) - 4 + 6*x + 4) as s + t*x and give t.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 17361523?\nAnswer: -4\/17361523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.003, -3, 0.2, -2\/5, 1\/2, 0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and -1*(6 - 5)*(-56 - -2).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.322285 rounded to one decimal place?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85660?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50814.\nAnswer: 2, 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 1:32 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-27))\/(((-5)\/45)\/(-5 + 6))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718291 = -110*c + 884944 - 389935. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -16493222961.1.\nAnswer: -16493222965.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 3*v**2 + 15*v - 6. Let k(z) = -z - 2. Let d(r) = r**2 - 2*r + 2. Let j be d(2). What is j*u(c) + 15*k(c)?\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpv when three letters picked without replacement from {g: 1, u: 1, p: 1, v: 2, m: 1, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -38151*a**3 - 1256*a**2 + 1256*a - 1256. Let b(m) = -152*m**3 - 5*m**2 + 5*m - 5. Calculate -1256*b(n) + 5*u(n).\nAnswer: 157*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.66 - -0.34. Let m(g) = -g**2 + 5*g + 4. Let p be m(5). Let x = 1.4 + -1. What is the closest to t in x, -4, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - 19. Let m = -13 - t. Let u = m - 9.5. Which is the third biggest value? (a) 1\/4 (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -672 + 681. What is the remainder when 334 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*o = -235*o - 2*k - 53, -5*k = 134*o - 155*o + 161 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 449, -3, -2 in descending order.\nAnswer: 449, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -675*n**4 + 6840*n**3 + 11667*n**2 + 4712*n + 560 = 0. Calculate n.\nAnswer: -1, -4\/15, 35\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/9, -1\/3, -0.1 in increasing order.\nAnswer: -1\/3, -1\/4, -2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308776.\nAnswer: 2, 7, 23371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - -3 - 6) + 1 + -11 - 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 247, 374, 503, 634?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-2)*(-172)\/(-430) - (42\/14 + 41).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 4*b - 40 = -0*b, -5*s = -b - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -340.28 + 614.05. What is z rounded to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**4\/24 + 61*z**3\/6 - 44*z**2 + 1. Let u be s(-13). Let i be (-9)\/(-6)*64\/6. What is the greatest common factor of u and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**4 + 3*a**2 + 6*a + 18. Let k(g) = 5*g**4 + 6*g**2 + 11*g + 33. Let h(q) = 6*k(q) - 11*x(q). Suppose h(l) = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r = 24*r + 12. Which is smaller: r or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -14*l**2 + 2422*l - 46502. Calculate f(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 74036207111 - 74036207111.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/55 and -59\/594?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214431 (base 5) in base 14?\nAnswer: 85d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 44.8639243 + -44.862. Round s to 5 decimal places.\nAnswer: 0.00192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/21 (b) 2\/9 (c) 2 (d) 165\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**4 + 2*i**4 + 0*i**4 + (2*i + i - 4*i)*(2*i**3 + 0*i**2 + 0*i**2) - 2*i**4 + 2*i**4 + 2*i**4.\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + b0?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r = -2*r. Suppose -4*k + 282 + 34 = r. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p + 4. Suppose -3*d - 5*b + 16 = 0, p*d = -5*b + 4*b + 10. Solve -d*m + 8 = 2*x, m - 2*x + 5 + 0 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/(-22)*(-1)\/(3\/8). Suppose -x*w = j - 0*w - 189, 0 = 5*w + 10. What are the prime factors of j?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 13 + 22 = 0. Suppose f*w = w + 30. Suppose -4*s = 4*l - 5*l - 8, w*l = -s + 2. Solve -i = -2*i - s*u - 7, -5*i = -2*u + 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 1:08 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 0. Suppose v*m - m - 155 = 0. What is m rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117\/(-3)*(-15 - (11 - 20)) is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5 + (sqrt(99) + -3)*-1*-6 + -5)**2.\nAnswer: -1008*sqrt(11) + 4344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3 - 0)\/(4\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14016659?\nAnswer: 14016659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 4, v: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32642538 by 3.\nAnswer: 10880846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:07 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*b**4 - 17446*b**3 + 2*b**2 - 120*b - 56 wrt b.\nAnswer: -216*b - 104676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/2*(49 + 4 + -56)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -182*l**2. Let g(s) = -30*s + 4*s + 8*s + 14*s. What is g(r(p))?\nAnswer: 728*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -94.71028 or -2?\nAnswer: -94.71028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 15*x + 226. Let l = 26 + x. Suppose 17567 = l*w - 0*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8\/25 of a tonne?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391796472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 13, 26, 45, 70, 101?\n\"Answer: 3*u**2 - 2*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (6\/4)\/(8\/(-16)). Let j be (-198)\/((-23 - -24)\/(p\/(-2))). What is the greatest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 + 110 - (-11 + 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/15, 3\/4, -4 in descending order.\nAnswer: 3\/4, -2\/15, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -2*z**6\/15 + z**4\/4 - 4*z. Find the third derivative of b(m) wrt m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81497*0.5.\nAnswer: 40748.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 11:57 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-20)\/(-30)*3\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 5*b**2 - 5*b - 3. Let x be (6\/(-2) - -2) + -3. Let w be z(x). Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -395)\/(-19) + -1 + -6 + (-170)\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by 4.\nAnswer: -91\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14332, -10, 2 in descending order.\nAnswer: 14332, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 + (73 - (60 - -18))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 75 = -10*o - 5*y + 68, 1041 = o + 2*o + 36*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:25 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*q - 457*q**2 - 94*q - 32*q**3 + 34*q + 26*q.\nAnswer: -32*q**3 - 457*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -968467 + -1208640. Let i = -4877107 - a. Round i to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**2 + a**2 + 14*a**2 + 3*a**2 + 6*a**2 - 7*a**2 + 2 - 2 + a**2 + (-3 + 3 - 2*a**2)*(5 - 5 + 1) + 0*a**2 + a**2 - 2*a**2 + 2*a**2 - a**2 + 0*a**2.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/180 and -97\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 18*g + 19*i - 514 = 0, 3*g - 24 = -i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1765271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b44691 (base 12) to base 5\nAnswer: 1210443411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19374240 rounded to the nearest one hundred thousand?\nAnswer: 19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)*1)\/sqrt(3) - (sqrt(21)*2)\/sqrt(3).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -r - 4*b - 7, -r + 4*b + 16 = 0. Suppose 0*l - l = 3*k, -5*k = -5*l. Suppose l = -4*c - 10 + 38. What is the remainder when r is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003107827 to 7 decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 402*f = 5*s + 400*f - 29, 0 = -4*s + 3*f + 42 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 3*z - 6, -6*t + 5*t + 5*z - 6 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -72141 greater than -72142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/24*(-264)\/440. Which is the biggest value? (a) j (b) -2 (c) -21\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65512, 65404, 65222, 64966, 64636, 64232, 63754?\n\"Answer: -37*b**2 + 3*b + 65546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 + (3 - -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 9:33 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/15 + 1518\/(-690). Put 5, 2, 4, -3, u in ascending order.\nAnswer: -3, u, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -32*a - 1. Let m(n) = -72*n + 5. Determine -2*m(k) - 4*v(k).\nAnswer: 272*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3 - 1280*a**2 - 86132*a + 87416 = 0. Calculate a.\nAnswer: -223, -98, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*9\/12 - 15. Which is bigger: w or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -98\/1487375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 52138 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 5*d + 5. Let o be g(3). Calculate the greatest common divisor of o and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 15*b**3 + 136*b**2 - b - 96. Calculate n(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/9*3\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a millisecond?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**2 - 2*j. Let t(o) be the second derivative of o**4\/12 - o + 17. Determine q(t(d)).\nAnswer: 4*d**4 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let y(f) = 11*f**2 + 5*f. Give y(t(q)).\nAnswer: 11*q**4 + 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 divided by -4?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6860 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65 or -1.589?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(((-4)\/(-40))\/(38\/(-5))). Suppose -5*d = 4*d - z. Let i be 4\/14 - d\/357. Is i at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**6\/720 - p**5\/90 + p**4\/48 + 2*p**2 - 17. Let a(l) be the second derivative of o(l). What is z in a(z) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b. Suppose 4*h - 8 = -4*p, -5*h - 3*p = 25 - 35. Let k(a) = 62*a**h - 41*a**2 - 36*a**2. Give n(k(u)).\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150557*i**4 - 678*i**3 + 386497870*i - 2 wrt i.\nAnswer: 1806684*i**2 - 4068*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.306g in micrograms?\nAnswer: 43306000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43928850*n**2*u**2 - 6398*n*u**2 + 2*n - 156*u**2 wrt n?\nAnswer: -87857700*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 3:26 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -37 - -57 - 4?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 556*i**2 + 7057*i + 31. Let h be o(13). Let -j**4 + 1\/3*j**2 + 2\/3*j**h + 0*j**3 + 0*j + 0 = 0. Calculate j.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5*112\/112?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/20)\/2)\/(12\/180) - 84?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, s: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1032?\nAnswer: -1\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 22*j - 149. Let y be q(7). Suppose 0 = 5*n - y*a - 4320, -17*n + 4350 = -12*n + a. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {a: 1, t: 2, h: 1, o: 2, n: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17683904 is divided by 322.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 952?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-567)\/(-113) - (-20)\/(2 + -6). Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -2*p**3 + 9367. Let r(v) = -514*v**2 + 3*v. What is r(k(d))?\nAnswer: -18504*d**4 - 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*g = 0, -3*m + 2*g + 8 = g. Suppose m*i = -10 + 6. Let a(b) = 6*b + 1. Calculate a(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*n**4\/3 - 536*n**3\/3 - 959*n**2\/3 - 760*n\/3 - 75 = 0 for n.\nAnswer: -9\/7, -5\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 30. Let a be c(17). Suppose 0 = -4*l - 2*j - 656, 820 = -5*l + a*j - j. Let z = l - -230. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 29*k**3 - 30*k**3 + 11*k**2 + k**4 to c + y*k + v*k**4 + q*k**3 + d*k**2 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 + -0.8. Let b = 20 + -14. Let x = b - d. What is the second smallest value in 0.1, x, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*n + d - 3695, -5*n = d + 9239. Is (-2)\/(-10) - n\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2924431164 to the power of 1\/2, to the nearest integer?\nAnswer: 54078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.08, 1, -2\/3, 0.4, 228, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**4\/54 + 11*g**3\/27 - 10*g**2\/9 - 2*g + 59. Suppose t(m) = 0. Calculate m.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 29292*d**2 + 175779*d + 263682.\nAnswer: -(d - 29298)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 5. Let j be l(5). Suppose 6 = 2*d - j. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105\/12*(-62)\/155*6\/3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 12. Suppose -h - 4 = -4*a, 2*a = p*a + 4*h - 1. Let d(f) = 10*f - 8*f - 2 + 7*f**3 + a - 2*f**2. Calculate d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-24 + 4 + 16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2. Let h be i(-2). Let u be 4\/(h\/9 + -2). What is the units digit of u\/(-15)*10\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/13))**5)**(-9)\/(((w\/w**(2\/7))\/w*w)**(-5))**(5\/19) assuming w is positive.\nAnswer: w**(-10345\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5997638 or 5997639?\nAnswer: 5997639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (2 + -3 + -1). Suppose h = 5*k + f + 63 - 14, 3*k = 2*f - 32. Let t be (-15)\/k - (-3)\/2. Put t, 7, -1\/8 in ascending order.\nAnswer: -1\/8, t, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2105, 8428, 18967, 33722, 52693, 75880, 103283?\nAnswer: 134902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/12)\/p*p**(-17)\/p*(p**(-1\/6))**(8\/7) assuming p is positive.\nAnswer: p**(-1619\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-4\/5)*c*c**4*(c\/(c\/(c*c\/(c\/(c*c**(1\/6)*c)))*c))\/(c\/(c*c*c**(-2\/11)*c)*c*c) assuming c is positive.\nAnswer: c**(2371\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22379 + -22379. Let f(q) = q**3 - q**2 + q - 126. Determine f(r).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*l - 5472 = -16*l + 23*l + 78*l for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -291 - -371. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -43. Let h = -13 - k. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 8. Does 7 divide g - (-12 - -1 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (4 - 3052\/(-60)). Let q = s + 55. What is the third biggest value in -2\/13, 0, q?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02, 2\/11, -3\/5, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 12:08 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -0.36. Let v = -620.3 + 620. What is the closest to 1 in v, z, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -5510.\nAnswer: 27550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 42578975.6 to the nearest 100000.\nAnswer: 42600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 29108540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 954379.5 micrometers to kilometers.\nAnswer: 0.0009543795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316314284.\nAnswer: 2, 11, 13, 97, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**6)\/p*p**(1\/4))\/(p**(-15))**20)**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 8:04 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.097 and 526.\nAnswer: -51.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - m**2 + 4*m**2 - 10*m**2 to c + s*m**2 + k*m and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -17 + -13 + 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 13481033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Suppose -9 = q*t + 2*u, -13 = 4*t - 4*u + 7*u. What is the units digit of (-3)\/(t*(0 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.291 and -303607.\nAnswer: -88349.637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 1026\/252) + 223\/(-14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 14.7. Let b = k + -7.3. Let r = b - -6.999995. Round r to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42*(-11)\/66*(-2)\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40428.69 hours to nanoseconds.\nAnswer: 145543284000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2481, -9761, -21849, -38745, -60449, -86961?\nAnswer: -118281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10409627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 281488 and 23464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1160)\/(-87))\/(4 - (-13288)\/(-3324))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 0*r - 495. Suppose -4*p - 684 = -52. Let c = r - p. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1671350 (base 8) in base 7?\nAnswer: -4102142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igxxxxixixiigxixix. What is prob of sequence gig?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 253692 and 418591800?\nAnswer: 418591800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209149 is divided by 1936?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plpxx. What is prob of picking 1 l and 1 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162778859*y**6 - 423541605*y**2 wrt y?\nAnswer: 19533463080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 28228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2368530 by -263170.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k + 465 - 93 + 168 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2. Let l(r) be the second derivative of r**7\/180 - r**4\/4 - 6*r. Let c(x) be the third derivative of l(x). What is c(g(d))?\nAnswer: 14*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -0.8, -67?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -15*d + 408. Let t(m) = 14*m - 409. Let k(q) = -6*g(q) - 5*t(q). Let h be k(-21). 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: Expand (0*k**2 - 2*k**2 + 3*k**2)*(1 - 3*k - 30*k + 31*k).\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b - 15324?\nAnswer: -15353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 - 5*y**2 + 8*y**2 - 6*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 1)*(18\/12 - 4). Let j(d) = d + 5. Let r be j(-3). Suppose -r*o + h = -7*o - 8, h + 1 = 2*o. Put o, x, 1 in increasing order.\nAnswer: x, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 840306.5 millimeters?\nAnswer: 0.8403065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**2\/17 - 1534*u\/17 = 0.\nAnswer: 0, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - 43 + 5*c - 10*c to the form j*c + n and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 28818979786525?\nAnswer: 28818979786525.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 6, -6, -26?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 35 - 20 - 287898*c.\nAnswer: -287898*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -221+-63776361\nAnswer: -63776582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - j + j + (-4 + 1 - 1)*(j + 3 - 3) + 0*j + 0*j - 2*j - j + j - 2*j + (-4*j + 2*j + 4*j)*(-3 + 1 + 0) + 0*j - 4*j + 2*j + 1069 - 1069 + 19*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 283384 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -25 + 10 + 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2459\/4 - 615. Which is the nearest to f? (a) -4 (b) 1 (c) 20 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 + 10*s - 19. Let w be o(-9). Suppose 0 = -4*t - 5*m + 143, -5*m - 2 = -3*m. What is the highest common divisor of w and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 8, 3*h + j = -3 + 107. Let n be (123\/24 + -5)\/((-1)\/(-6)). Put -0.3, n, h in decreasing order.\nAnswer: h, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 10\/(-12))*56706\/(-2181)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1878416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*a - 16*a = -1520. Round a to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.2522 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -38. Let b(l) = -l**3 + 20*l**2 + 4*l - 13. What is the units digit of b(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8077 + 7981 - (10 + -1)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 - 93*m - 859. Let v be n(-9). Calculate the highest common factor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -346*o + 5407567 - 5407567 - 3*o**3 to the form p*o + y*o**3 + c + b*o**2 and give p.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-6))\/(385\/(-495)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -224. What are the prime factors of s?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(209\/(-247) + 2\/(-13))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.502*0.1\nAnswer: -0.0502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.21 times -4?\nAnswer: 4.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 13) + -10 + 2 - 19.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3)*(-15 + 14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/9039 and 35\/5193?\nAnswer: 15646509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.51 + -15701.\nAnswer: -15703.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.18018 + -190.01382. Let o = t - -192. Round o to 2 decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -30*l**5\/11 - 328*l**4\/11 - 1042*l**3\/11 - 960*l**2\/11 - 216*l\/11 = 0.\nAnswer: -6, -18\/5, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -5*h**3\/3 + 1. Let a(u) = 689051 + u**2 - 689051. Determine a(y(d)).\nAnswer: 25*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14560*j**5 - 15*j**2 + 16*j + 2?\nAnswer: 873600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 10) to base 15.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:01 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13036*n**2 + 10914*n**2 - 28243*n**2.\nAnswer: -30365*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 464.1559 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -14 + -11 + 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-4) - -10) + 8\/(-3)*-3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971068.\nAnswer: 2, 7, 79, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*o**4 - 18 - 6 + 175*o**4 + (50*o**3 - 28*o**3 - 28*o**3)*(3*o - 5*o + 3*o) to p*o + j*o**3 + v*o**2 + u*o**4 + q and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 5:20 AM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(-239)\/((-4302)\/(-3024))*(-2)\/(-15).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrlrdrrrrdlrr. What is prob of sequence llrr?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12\/17 + 19\/51. Which is the third biggest value? (a) -2\/7 (b) 9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*b + 26*b**5 - 39*b + 0*b + 3*b**5 + 0*b + (-b + 0*b + 3*b)*(-2*b**4 + b**4 + 2*b**4) - 8*b**4 + 6*b**5 + 8*b**4.\nAnswer: 37*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*f*o**5 - 3*f*o**4 + 2*f*o**2 - 139*f*o wrt o.\nAnswer: -660*f*o**3 - 36*f*o**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10298 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3576998 is divided by 292.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222489 is divided by 1434.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12ab42 + 373?\nAnswer: -12a78b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**5\/5 - 412*l**4 + 39916*l**3\/5 - 31332*l**2 + 23760*l = 0. Calculate l.\nAnswer: 0, 1, 4, 15, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 + -15. Suppose 3*z - 5*x - 40 = 0, -12 = -5*z + 5*x + 48. What is the least common multiple of z and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10 + 3 + 7 - 15*k**2 - 3*k**4 wrt k?\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436 a factor of 63930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (4 - 6)) + 1 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-15)*-3)\/1. Let v be ((-306)\/(-15))\/(3\/10). Let g be 16\/20 - v\/110. Which is the smallest value? (a) -0.1 (b) r (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 5*v + 1. Let l(a) = a**3 - 11*a**2 + a - 9. Let x(y) = -y - 3. Let p be x(-14). Let b be l(p). Let k be z(b). Is 4 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**3 + 7*j**2 - 4*j. Let s(o) be the third derivative of o**6\/120 + o**5\/30 - o**4\/24 - 12*o**2. What is -2*f(t) + 7*s(t)?\nAnswer: -t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-12)\/12 + 12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*(sqrt(684) + -1))**2 - (2 + sqrt(304))*-4)*-5.\nAnswer: -480*sqrt(19) + 41220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/693680 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 0*h**2 - 1\/8*h**4 - 9*h + 0 - 1\/4*h**3. Factor u(l).\nAnswer: -3*l*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l + 7*l**2 - 3*l - 2*l**4 - 8*l**2 + 3*l**4 as o*l**2 + b*l**4 + s*l**3 + y + h*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10011100101101 (base 2) to base 4\nAnswer: 2130231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(144\/81)*4\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -541*i + 181. What are the prime factors of c(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -89801232, -179602462, -269403692, -359204922?\n\"Answer: -89801230*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158013561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjtjttjj. Give prob of picking 3 j.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3532620 and 52416.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 658 is divided by 252.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -0.04, 32.2, -43, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*3 - sqrt(5)*6*-1)**2 + ((sqrt(5) - (sqrt(5) + sqrt(5) + 5 - sqrt(5))*-3)**2 + sqrt(5) - (5 + sqrt(5))*4).\nAnswer: 117*sqrt(5) + 2490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -353400 by 5890.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16459562143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*t - 2*i + 3*i, -5*i = t + 9. Suppose -o + 3 + 41 = 0. What is the smallest common multiple of o and t?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -r + 25, -u - 18 - 31 = -2*r. Let v(k) = 0 + 2 + k**2 + 5*k + 7 - 3. Let f be v(-6). Calculate the highest common factor of f and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31333 - 31329. What is the third smallest value in 1\/3, 2, 0.3, -0.035, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(-2)\/16*4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, -97, -3269?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6576 and 1221.\nAnswer: 2676432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.08056 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/60 - 5*c**4\/24 - c**3\/3 + c**2. Let k be n(-3). Suppose -k*q - 6 = -18. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = 14, 5*x + 2*k - 12 = 0. Let m(l) = -x + 10 + 0*l + l**3 + 4*l. Let n(j) = -109 + j + 0*j + 110. What is -m(s) + 4*n(s)?\nAnswer: -s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k + 604*k**2 - 111 + 605*k**2 - 1213*k**2 + 0*k wrt k.\nAnswer: -8*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 20594 = -30730. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0119191794 rounded to 5 dps?\nAnswer: -0.01192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 62 = -6*j - 21*t, -5*j - 51 = -t for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3395, 5284, 10421, 20432, 36943, 61580, 95969?\n\"Answer: 271*t**3 - 2*t**2 - 2*t + 3128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.7 (b) -3\/145 (c) -5638\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 4128\/131 and 31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -1. Let b = -16 - w. Suppose -130 = -b*s + 77. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 10, -2, 4, -7 in increasing order.\nAnswer: -10, -7, -2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 6*c**3 - 17*c**2 + 149. Give b(8).\nAnswer: 2133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 284 divided by -40795\nAnswer: -284\/40795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j - 18. Let x be z(-9). Solve 2*o = -5*q + 11, 4*q + x*o - 16 = -4*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y + 3*h, -4*y - 4*h = 0. Suppose -2*m = -0*j - 2*j + 546, 3*j - m - 815 = y. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, s: 2, w: 5, l: 1, x: 3}. Give prob of sequence sxsl.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847*d = 875*d + 448 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10*l - 3. Let o(i) = -10*i + 2. Suppose -12 = -4*v, 9*m - 7*m - 2*v - 178 = 0. Suppose -43*y - m = 3*y. Calculate y*s(p) - 3*o(p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 18*w - 429. What is the third derivative of t**2 + w*t - 2*t**2 + 46*t**5 + 24*t**5 + 8*t**5 wrt t?\nAnswer: 4680*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2))**(-35)*c**(-11)\/(c**(-1\/6)*c))**(4\/33) assuming c is positive.\nAnswer: c**(278\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -10*z**2 + 7\/3*z**3 + 0 + 1\/24*z**4 + 0*z. What are the prime factors of p(0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 510 = -3*x, 4*x - 147 - 616 = -3*p. Let l = -387 + p. Let n be ((-3)\/6)\/(-1)*l. What is n rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 5*d**2 + 7*d - 7. Let b be g(6). Let n = b + 34. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t - 36. Determine b(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648 - 186 = -42*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 351*g**2 - 233*g + 36. Let y(h) = -353*h**2 + 232*h - 36. Let n(x) = 4*p(x) + 5*y(x). Determine a so that n(a) = 0.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(7) - (sqrt(21)\/sqrt(3) - sqrt(7)))**2 + sqrt(7) + (sqrt(63)*-5)**2 - ((sqrt(21) + sqrt(63)\/sqrt(3)*-1)\/sqrt(3))**2.\nAnswer: sqrt(7) + 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**2 - 2*d + 2. Let u = 28 + -30. Calculate t(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 3*j**2 + 134*j - 45. What is the remainder when 545 is divided by c(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -765*d - 8404. Give h(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**6\/120 + q**5\/10 - q**4\/4 + q**3\/2 + q**2. Let r = 48 + -48. Let z be 17\/4 - (r - 3\/4). Determine g(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69 * 2.12\nAnswer: -146.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 10, 351*j - 22 = 4*g + 350*j. Let t be (-4 + 4)*(-2)\/(-4). What is the closest to t in -0.3, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/10*20*((-63)\/(-28))\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 10829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*t**2 + 2*t**2 + 2*t**2 - 8*t**3 wrt t?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2 + 197*o + 34208. Let k be t(189). Let a(z) = z**3 - z**2. Let p(j) = 7*j**3 + j + 4*j**2 - j. Determine k*p(b) - 4*a(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 = 6*f - 10*f, 0 = -2*f - 8. Are h and 45\/47 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2578, 10201, 22906, 40693, 63562, 91513?\nAnswer: 124546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -883*r**4\/12 - 859*r**3\/3 + 1901*r**2. Differentiate w(n) wrt n.\nAnswer: -1766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = 5*p. Suppose 24 = 5*n + p*o, -2*n - 2*o = -0*o - 8. Calculate the remainder when (-528)\/((-2068)\/47) - -1 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from uuuuuuuuuuuuudduuuu.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/124 and 31\/24.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57 - 57 + 6*a**2 + (-a + a - 2*a)*(-2*a + 3*a - 3*a) + a**2 - 2*a**2 - a**2.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 4*p - 3*g, 1307 = g + 1294 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1. Let c(q) = q + 5. Let z(a) = c(a) - 5*w(a). Let g(m) = -m. Let d(f) = f. Let t(y) = -2*d(y) - g(y). Determine z(t(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7, 16, 31, 52, 79?\n\"Answer: 3*j**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31625, -31716, -31807, -31898?\n\"Answer: -91*w - 31534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - a - 590 = 4*a, -20 = 4*a. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -11.5. Which is the closest to -0.6? (a) -0.2 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from {d: 8, a: 2, g: 3, l: 2}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-15))\/(2\/(-32)*1776\/4440)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*x**2 + 10*x**2 + 1 - 1 as n*x + v*x**2 + b and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 219571 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 458 and 1459342804?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d. Let i(t) be the second derivative of 43\/12*t**4 + 0*t**3 - 120*t + 0 + 0*t**2. What is r(i(f))?\nAnswer: -86*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 46*y**2 - 48*y - 198. Let x be d(-47). Is -151 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1812*u + 4 + 1 - 5 + 164*u + 1649*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - -4*sqrt(88))*3 - sqrt(88))\/(sqrt(8) + (sqrt(288) - (sqrt(288)*4 - sqrt(288)))).\nAnswer: -14*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x. Let p(y) = -10*y. Let g(t) = -4*c(t) + 5*p(t). Let b be (36\/(-60))\/(2\/(-20)*2). Let j(f) = -2*f**2 + b*f**2 + 0*f**2. What is g(j(k))?\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 8) to base 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 823, 821, 819, 817, 815?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 2*b + 2*b)*(1 - 1 + 2*b) + ((3*b - b + 0*b)*(1 + 1 + 0) + (b + 0*b + b)*(0 + 2 + 0))*(-2*b - 10 + 10) as n*b**2 + h*b + x and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/19)\/(425\/(295800\/928))\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxwf when four letters picked without replacement from {w: 1, f: 1, x: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7\/2, 1, 4.3 in decreasing order.\nAnswer: 4.3, 1, -7\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.037849 plus 124?\nAnswer: 114.962151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 3, 0.523, 356?\nAnswer: 356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20937 and -83.\nAnswer: 1737771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6 = -d + 10, 3*d + 2*i = 88. Suppose -d = -5*n + 3*k, -8 = 2*k + 2*k. What is the highest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) 4 (c) 8 (d) -2 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-5)*10\/(-3). Suppose w = -2*d + 4*d. Is 10 + (-1 - 0) + d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75352 (base 11) in base 5?\nAnswer: -12001222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 29. What is a(-8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 3. Let u(f) = -1. Calculate i(p) + u(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(338\/39) - (-117)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(3 + 4 - 5) + 0 + 1 + 2 + (4 + 2 - 4)*(-1 + 2 + 1) - 1 - 28 - 37)*(5 - 2 + 0*b**2 + 2*b**2).\nAnswer: -122*b**2 - 183","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 + 13*u + 10. Let f(y) be the third derivative of y**4\/8 + 11*y**3\/2 - 11*y**2. Let r be f(-13). What is the tens digit of v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230 minus 0.2?\nAnswer: 1229.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 267 times -0.3?\nAnswer: -80.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (21 + -16 + 13 + -16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10\/21, -3, -1\/4, 115, 1\/11.\nAnswer: -3, -10\/21, -1\/4, 1\/11, 4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 33*x**3 - 10*x**2 + 19*x - 9. Let k be v(3). Let c = -285 + k. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/32)\/(-3)*1\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, -8, -176 in increasing order.\nAnswer: -176, -8, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -0.3, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45278+173278\nAnswer: 218556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 - 11034*s**3 + 3*s**4 + 13 - 4*s**4 + 11033*s**3 as i + n*s**4 + u*s + b*s**2 + q*s**3 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**2 - j - 4. Suppose -74 = 19*k - 283. Let n(p) = 17*p**2 + 2*p + 11. Determine k*t(c) + 4*n(c).\nAnswer: 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 15*u**2 - 14*u + 4. Let g be w(-14). Let p be 0 - 18*g\/(-8). Let f(q) = -q**3 + 8*q**2 + 14*q - 9. What is the units digit of f(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2887, -2881, -2889, -2911, -2947, -2997?\n\"Answer: -7*v**2 + 27*v - 2907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3031300013 (base 4) to base 6\nAnswer: 30021355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 25 = 5*a + 8, 25 = -5*a. Suppose q - 3 = -0*q. Suppose 2*r**q - r**2 + f*r**4 + 0*r**4 - 3*r**4 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 301 = -0*p + 2*p, 3*p - 5*q - 444 = 0. What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611194514 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/2 - 0*8\/48. Let j be -23 - -18 - (p + 2). Solve -j + 21 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 6, k: 9, h: 4}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -208\/3 (b) 3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 112 = 6*i. Suppose i = 8*h - 4*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*m**3 + 209*m**3 - 742*m**3.\nAnswer: -415*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/3*(2\/4)\/(176\/(-528)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = 0, 0 = 5*s + k - 3*k + 112. Let d = s + 24. Factor 0*n**d + 3*n**4 - 3\/2*n**5 - 3\/2*n**3 + 0 + 0*n.\nAnswer: -3*n**3*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.113 to 1 dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l - l**2 - 6*l**2 + 2*l**2 - 9*l**2 + (-4*l - l + 4*l)*(0*l + l + l) + l**2 + l**2 + l**2.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135953 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*r = -19*r + 76 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 59*d**2 - d + 1. Let c be p(1). Let l = -40 + c. Calculate the remainder when l is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -3\/2*i**2 + 0*i - 1\/4*i**4 + 14\/3*i**3 + 2\/5*i**5 + 97. Find the third derivative of g(k) wrt k.\nAnswer: 48*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*h = 350*h + 106*h - 15457 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 22 = 2*z, 46 - 124 = -5*z + 4*y. Is ((-30)\/z - -2) + (-325736)\/(-133) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**3*r + 2*n**3 + 687*n**2 + 152*n*r + 2*n - 10*r with respect to r.\nAnswer: 3*n**3 + 152*n - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 555*j + 12573. Give w(23).\nAnswer: -721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 469 and 42.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 7 + 2 + (1 + 2 - 1)*(-4 + 4 + 2))*((3*i**3 + i - i)*(2 - 6 + 5) - 4*i**2 - i**3 + 4*i**2).\nAnswer: 26*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532474.6 rounded to the nearest one thousand?\nAnswer: 532000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 140 - 137. Suppose -3*m + 11*c = 15*c - 63, -h*m = c - 72. Let l = 424 + -276. What is the remainder when l is divided by m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -521, -685, -103, 1597, 4787, 9839, 17125?\nAnswer: 27017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3775885 a multiple of 505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-25)\/x*x*x)**(-2\/31) assuming x is positive.\nAnswer: x**(46\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2793*a - 177*a**3 + 62*a**3 + 65*a**3 + 51*a**3 to q*a**3 + f*a + c + j*a**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002334890342 to 7 decimal places.\nAnswer: 0.0002335","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*j - 28*j + 10*j - 3*j**2 - 7*j**3 to q*j**2 + m*j**3 + k*j + n and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Suppose s*p - 2*p = -6. Find the third derivative of -n**4 + n**3 - p*n**2 - n**3 wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -2)*2\/4. Suppose x*a - 4*a = -4680. Is a\/22 + (-28)\/154 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -56. Calculate the greatest common divisor of 154 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175687694 + 87843848 + 87843846 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmstjxxxmcxxtcccssm. What is prob of sequence jx?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7587 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -1550101331?\nAnswer: -1550101333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -3*v - 11, -3*m - 2*m + 2*v = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*w = -20, -32 = 4*l - 3*w + 8*w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631 + 543 = -22*b. Solve -5*q - 2*n = -8*q, 4*q + b*n = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let y be 2*(1\/2 - o). Let f = -2.5 - -2.7. Is f at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20688*h**3 + 0*h**2 + 0*h**2 + 21368*h**3.\nAnswer: 680*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -724, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1693700 to the nearest ten thousand.\nAnswer: 1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/13 - 136*j**2\/13 - 3166*j\/13 - 12180\/13.\nAnswer: 2*(j - 87)*(j + 5)*(j + 14)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 180\/(-10) + (1 - 136\/(-56)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d**3 + 4*d**2 + 23*d. Let n(l) = -6*l**3 - 3*l**2 - 23*l. Let u(j) = 3*g(j) + 4*n(j). What is the second derivative of u(y) wrt y?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 3. Let n(o) = -2*o**3 + 13*o**2 + 6*o - 2. Let b(t) = -2*t**3 + 18*t**2 + 8*t - 3. Let g(j) = -3*b(j) + 4*n(j). Give g(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3827*h**3 + 7*h**2 + 7*h + 1. Is p(-1) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50135.\nAnswer: 5, 37, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50294494121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63858400 divided by 8.\nAnswer: -7982300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y + 19. Let z be g(-10). Let a(u) = 2*u - 22. Let o(t) = -1. Let f(p) = z*a(p) - 4*o(p). Let x be f(11). Solve -x*i + 5 = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 22.25375 litres?\nAnswer: 22253.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71 and 11076?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 154512.2km?\nAnswer: 15451220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 6*n**2 + 14*n + 52. Give x(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r\/r**(-12))\/r)**33\/((r\/((r*r**(-10))\/r))\/(((r**(6\/11)\/r*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(4945\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3228 - -7021. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -9637*c**4\/12 + 361*c**3\/6 + 5*c**2\/2 + 40*c - 12. What is the second derivative of h(t) wrt t?\nAnswer: -19274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**3. Let r(k) = 9*k**3. Give 7*f(o) - 3*r(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2\/144*3.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22543 + 2?\nAnswer: 22545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Suppose 4*q = 4*u - 2252, -2664 = -4*u - q - 437. Let r = -518 + u. What is the highest common divisor of r and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63131 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of 2*x**3\/23 - 257*x**2\/23 + 340*x\/23 + 77. Factor f(l).\nAnswer: 2*(l - 85)*(3*l - 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4\/9 - 140*l**3\/3 + 1982*l**2\/3 - 18592*l\/9 - 8320\/3 = 0.\nAnswer: -1, 8, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (1 + -1))*2. Let z(n) = 3*n**2 + 4*n + 9. Is z(x) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 1212*f - 3. Let x be r(7). Suppose x = -54*q + 57*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1556026 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15807.68 minus 9.59?\nAnswer: 15798.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -972\/11, 4, -8592, -2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*r + 7*r - 9*r)*(-2 + 1 + 3) + 3*r - 2 - 5*r + 4 in the form i*r + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from -0.62.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5333254182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 1, -12, -2 in descending order.\nAnswer: 25, 1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**5 + 1048328*k**3 - k**2 + 30098208*k wrt k?\nAnswer: -60*k**3 + 6289968*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*g = -2*g - 40, -2*t + 5*g - 37 = 0. Suppose y = -y - 10. Put t, 1, y in descending order.\nAnswer: 1, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24174864 a multiple of 1044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = -3*v. Let r(b) = 1 - b**v - b - 4 - 5*b**2 + 0. Give r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 114 = -3*c, -3*o - c - 50 = 52. Let h be 240\/o + 6 - 185\/(-175). Determine r so that 3\/5*r + h*r**3 - 1\/5*r**4 + 0 + r**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 3*f**4 - 61 + f**3 + 104 - 56 as m*f**2 + l*f**3 + p*f**4 + s*f + y and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-60))\/(1\/(-25)). Let t = -10 + u. Solve 2*i = -t - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3*(4 + (4 + -1 + sqrt(128) + -5)*-3*2))**2.\nAnswer: -13824*sqrt(2) + 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1326\/153 - (-2)\/6. Suppose -3*k + 0*k = x, 3*k = -4*r + 3915. List the prime factors of r.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yysrysf. What is prob of sequence yy?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 417162324 + 0.6\nAnswer: 417162324.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:53 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 46*x - 206. Calculate the remainder when f(-73) is divided by 93.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -949 > -946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18, -2\/3, 28, 1337, -4, 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(847) - (sqrt(847)*-1)**2) + 1 + -3*sqrt(847)*5)*6*-5.\nAnswer: -152280 - 27720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 24*f**2 + 51*f + 34. Let l be s(-26). What is the highest common divisor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1030.8 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 2*a + 4. Let p be n(0). Suppose -4*t = -9*g + 11*g - 24, -p*t = -5*g - 10. What is the least common multiple of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 27 = -0. Suppose 0 = -6*j + n*j. Suppose -u + 2*d - 22 = -3*d, 2*u + d - 11 = j. Solve 7 = 5*m - 3*k + 20, -3*m + u*k - 3 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 9 = 0, -5*j - l - 55 = -53 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*u**2 - 115*u**2 - 121*u**2.\nAnswer: -177*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwebbqb. What is prob of picking 1 q and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 28*u - 3170. Give x(-72).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 116 - -13?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21156841009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(-3) + 4\/6. Let x = 0.2 - 12.2. Let q = 7 + x. Which is the third smallest value? (a) p (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11130715.\nAnswer: 5, 83, 26821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + b + 3. Let m be y(9). Let j = m + 106. Let q = -25 + j. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 11*o**2 - 7*o**2 - 11*o + 7*o + 4*o**3 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 9. Let n(d) = -13*d**3 + 3*d**2 - 12. Let i(j) = -j**2. Let z(b) = h*i(b) + n(b). Differentiate z(f) with respect to f.\nAnswer: -39*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y - 1. Let h be n(-2). Let r be ((-20)\/(-35))\/((-2)\/h). Let j = -442 - -439. Which is the second biggest value? (a) j (b) r (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r = -41*r - 79 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32046*z + 1031 - 505 - 528 to the form p + k*z and give k.\nAnswer: 32046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -278 + 278.1. What is the smallest value in 0.4, w, -0.76, -0.5?\nAnswer: -0.76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48741589.8 rounded to the nearest 100000?\nAnswer: -48700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 7*i**2 - i - 9. Let z be x(-7). Which is the second smallest value? (a) z (b) -4\/7 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 552, 0 in descending order.\nAnswer: 552, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-18)*144\/(-192). Let j = 1670\/11 - 6484\/33. Let f = -44 - j. Which is the nearest to u? (a) f (b) -0.2 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 55756b - 1?\nAnswer: 55756a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192156?\nAnswer: 2, 3, 67, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(320) + sqrt(320) + -1 + sqrt(320)).\nAnswer: -6 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 5*s**3\/6 + s**2\/2 - 6*s. Let q = 705 + -708. Give l(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2995 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-18))\/((-4)\/(-6)). Let h = 0.77 + -0.27. Which is the closest to 1\/2? (a) 0.1 (b) h (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 187*b**2 - b - 1. Is j(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333831623 divided by 1.\nAnswer: 333831623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -b + 5*t, -4*b + 6 = 186*t - 189*t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 520*y**2 - 22*y + 20. Is 5 a factor of f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Let w = v + -2. What is the second derivative of w*z - z**2 - z + z**2 - 2*z**2 wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**3 + 3*x**2 - x. Let u be a(2). Let i = u - -30. Solve -5*t + i = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -498*r**2 - 350*r**2 - 532*r**2 + 128*r**2 - 190*r**2 to k*r + g*r**2 + x and give g.\nAnswer: -1442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - o**2 + 23*o + 3. Let g be n(0). Solve -4*t + 13 = g*w, -5*w = -6*w - 3*t + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -271 by -8.\nAnswer: 271\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*i = 59191 + 24020, 0 = 5*c + 5*i - 104075. List the prime factors of c.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6907 and 4?\nAnswer: 27628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-26)*48\/(-2))\/((-146)\/(-949))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h - 10 = -z, 6 = 5*z + h. Solve 2*a - 14 + 40 = 4*n, 3*a = z*n - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1720458*p**2 + 549273 wrt p.\nAnswer: -3440916*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 13*n + 10. Let f be j(-12). Is f > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 + 2*z**2 + 2*z - 1. Let c(y) = -y**3 + 13*y**2 - 12*y + 2. Let b be c(12). Let i be k(b). Let v = 37 + i. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/11, 1\/7, 1950.63 in increasing order.\nAnswer: -10\/11, 1\/7, 1950.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 26*a - 42 - 23*a - 32.\nAnswer: -49*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 17*v - 22116. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 17*s + 7*s + 11*s)*(-5 - 2*s + 5)*(3 - 4 - 1).\nAnswer: 4*s**2 - 36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15768 and 32027436?\nAnswer: 192164616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-5) - (4 + 4\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4 - 1760568*m**3 - 19366054*m**2 - 42253032*m + 63379656 = 0.\nAnswer: -880273, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -624 + 597. What is the biggest value in -2, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.414296ug in tonnes?\nAnswer: 0.000000000009414296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*d - 121*d + 448*d + 104*d + 7*d**2 - 147*d - 142*d.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/11, 456, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 2. Let m be c(1). Is (1043\/(-3) - (m - -5))*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 i, and 1 k when four letters picked without replacement from {k: 9, u: 1, i: 7, b: 1}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - a + 2)*(a + 10*a + 7*a)*(a + a - 3*a).\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 181368783 and 14.\nAnswer: 181368797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 872*f - 135089. Give m(155).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*m**2*n*s**3 - 2*m**2*n*s**2 - 3*m**2*n*s - 6*s**3 + 106*s wrt s.\nAnswer: 108*m**2*n*s - 4*m**2*n - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3810, 187, -730 in decreasing order.\nAnswer: 187, -4, -730, -3810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 0, 2, -15 in increasing order.\nAnswer: -33, -15, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24537600 rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -17. What is the first derivative of -b - 12 + 5*l**2 + l**2 + 24 wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 26*i**2. Let a(r) = 9*r**2. Suppose 28 = 3*p - 10*p. Give p*w(u) + 11*a(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 12, -4, -2, -182, 0.5.\nAnswer: -182, -4, -3, -2, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 110 = 3*g. Suppose 1068 = g*c + 103. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*w - 15 = -37*w. Suppose -w*m + 0*m = 4*m. Let p = 7157\/90 + -159\/2. Which is greater: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(210)\/sqrt(20))\/(-5*sqrt(24)*3).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 583.9997418 + -584. Round o to five decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1) + 10 + (-15 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 41\/3. Let t = 4 + -7. Which is the closest to r? (a) 0.2 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 6*r - 7. Let c be j(-7). Does 4\/7 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -71, -272, -609, -1082, -1691, -2436?\n\"Answer: -68*p**2 + 3*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -285*f**3 - 40*f**2 + 40. Let h(m) = 22*m**3 + 3*m**2 - 3. Give -40*h(t) - 3*w(t).\nAnswer: -25*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 149194349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2438 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298765501 to the nearest integer?\nAnswer: 17285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**8\/6720 + y**7\/360 + y**4\/6 + 5*y**3\/3 - 2*y + 22. Let k(a) be the third derivative of u(a). Factor k(f).\nAnswer: f**2*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002549405 rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - 4*j - c + 4278, -c + 3209 = 3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 - -103. Solve 4*k = 4*d - 32, -o*k = -5*d + 13 + 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*f**2*t**3 - 8*f**2 - 9*f*t**3 + 1584*t**3 wrt f.\nAnswer: 8*f*t**3 - 16*f - 9*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0571107 to four dps.\nAnswer: 0.0571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = 1. Let s be (-5)\/10 + 3\/t. Let k = -4 - s. Put -0.5, k, 2\/3 in descending order.\nAnswer: 2\/3, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 4*t**3 - 1 - 3*t**3 + (2*t**3 - 2*t**3 - 2*t**3)*(-17 + 2 - 10).\nAnswer: 51*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512224.\nAnswer: 2, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (-60 - (24 - 92)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 12*r**2 + 27*r + 16. Let k = -20 - -26. Suppose 0 = -k*u + u + 70. Let w be z(u). Solve -6*p - 12 = -w*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + i = -6*w + 42, -2*w - 3*i + 21 = 0. Calculate the least common multiple of (40\/7)\/(18\/14 - 1) and (-2)\/w + (-1520)\/(-150).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 12*t**2 - t + 2. Let o be i(1). Suppose g = -0*g - 3*c - o, g - 4*c + 6 = 0. Let j = 24 - g. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4*10\/3. Suppose -4*z + n = -7. Is 1 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.037 - -903.981.\nAnswer: 903.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57, 77, 103, 129, 149, 157, 147?\n\"Answer: -h**3 + 9*h**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 31.\nAnswer: 33\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3755 - 6?\nAnswer: 3749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 13 + 8 - 39*r**2.\nAnswer: -39*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 297643.721 - 3665.621. Let s = 293979.2100051 - g. Let o = 1.11 - s. What is o rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127436.5642183 take away 0.4?\nAnswer: -127436.9642183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j + 10. Let t be n(7). Find the third derivative of -3*k**2 - 2*k**2 - k**t - 3*k**2 + 5*k**2 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 36072537.\nAnswer: 360725370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 12 + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74019 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 29*a**3\/6 + 29*a**2\/2 + 16*a. What is the derivative of d(t) wrt t?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (111 - 137) + 118 + -28?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3612 and 81669?\nAnswer: 14047068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, -5.2, 1, -10, -2, 3 in decreasing order.\nAnswer: 4, 3, 1, 0.1, -2, -5.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11451868 and -5.\nAnswer: -57259340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(5)*6 + sqrt(30)\/sqrt(24) + sqrt(10)\/(sqrt(2) + (sqrt(2) - sqrt(12)\/sqrt(6))*4))**2 + 4.\nAnswer: 3669\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5746, 11467, 17196, 22933?\n\"Answer: 4*z**2 + 5709*z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.23 + -0.07. Let n = -0.19 + 0.59. Put b, 4, n in ascending order.\nAnswer: b, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2. Let s(r) = 103944*r**2. Calculate s(a(d)).\nAnswer: 935496*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2 = -3. Let z be (3 - w - 13)\/1. Which is greater: z or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -4\/5 (c) -0.3 (d) 153\/10 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**3\/3 + 2. Let a be g(0). Let z(h) = h + 27. Let o be z(-23). What is the nearest to 1 in 2\/11, a, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47\/15932391 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1011.5737 to the nearest 10.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(72) - sqrt(72)*-1) + -5 - (1 + sqrt(72) + 0))**2.\nAnswer: -72*sqrt(2) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*a**4 + 4911*a**3 - 55*a - 1655 wrt a.\nAnswer: 312*a**2 + 29466*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59206464*x**4 - 5*x**2 - 6533032 wrt x.\nAnswer: 1420955136*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-1)\/(12\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 + 80 - 450*c + 448*c - 36.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712652, -712655, -712658, -712661, -712664?\nAnswer: -712667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 646 - 646. Suppose f = -k + 2*d + 199, -10*d = -14*d + 12. What is the remainder when k is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 82000\/492*(-36)\/(-10). What is the highest common factor of 168 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 12*h - 11*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -8*h**7\/21 - h**4\/4 + 7*h. Find the third derivative of l(z) wrt z.\nAnswer: -960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**3 - t - 11*t**3 + t + 100*t**3 - 2*t**2.\nAnswer: 77*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 262608424 and -4?\nAnswer: -1050433696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 greater than or equal to 457\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 4:00 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 62344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 420 = 42. What is the second biggest value in -5, -1\/3, k, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -42677182 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2604 divided by 4\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79493*y - 11424 = -79731*y for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 55*n**2 + 3535*n + 30. Let b(p) = -2*p**2 + 15*p - 1. Let t(u) = 30*b(u) + m(u). Factor t(x).\nAnswer: -5*x*(x - 797)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 22*y + 148 - 93. Let r(p) be the second derivative of -1\/45*p**4 + 2\/15*p**2 + 1\/45*p**y + 8*p + 0 - 1\/150*p**5. Determine c so that r(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - 0. Let m = l - -8. Let i = 6 + -6.3. What is the nearest to 0 in i, -1\/4, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -40?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**2 + 1\/105*z**5 + 0*z + 1\/84*z**4 + 0*z**3 - 3. Let n(d) be the second derivative of h(d). Determine o so that n(o) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.266986 + -0.267. What is u rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 98, 822, 2794, 6638, 12978, 22438, 35642?\n\"Answer: 104*s**3 - 4*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-1)*(-4)\/(-6). Let k = v + -8. Suppose k = 4*y - 7 - 5. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1531 = 2*m + 1423 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -86, -195, -348?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/8 - 233*r**2\/8 + 194249*r\/8 + 3767985\/8 = 0 for r.\nAnswer: -565, -19, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 11100?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -37 (b) 2\/3 (c) 1\/2 (d) 0.4 (e) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01990263*0.04.\nAnswer: 0.0007961052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785273331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blbbnllbbl. What is prob of sequence nb?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 18\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (18\/(-3))\/3. Let p(t) = w - 4 - 4*t. Does 4 divide p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2*(-4)\/(-8). Suppose 2*h - 7 = -b + h, 4*h + j = b. Let u = 15 - b. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 3285651\nAnswer: 32856.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 3) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 - -10?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1176484 is divided by 1032?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m + 4. Let r be n(1). Let a(j) = r*j - 4 + 2 + 0*j + 2*j. Let z be a(7). What is the greatest common factor of 60 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 27. What is the smallest common multiple of c and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -105 - -185. Calculate the greatest common factor of 10 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -16. Let y(l) be the third derivative of l**6\/120 + l**5\/5 + l**4\/2 - 2*l**3\/3 + l**2. Is y(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or -31\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1\/4. Let g(s) = -4*s + 25. Let j be g(7). Let d = -4 - j. Which is greater: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 116, 50, -16?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 10 - 29866\/2740. Let a(x) be the second derivative of -1\/45*x**6 + 1\/9*x**3 + u*x**5 + 0*x**2 + 0 - 1\/6*x**4 - 18*x. Let a(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -160.72916 + 162.57. Let f = -0.04534 + i. Let b = f + -1.8. Round b to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/2 + 20*q - 200 = 0. What is q?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*h + 1476 = -3084. Calculate the remainder when 6493 is divided by h.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 7:29 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42583 is divided by 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -51, -2 in ascending order.\nAnswer: -51, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -243. List the prime factors of r.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 248*u**5 + 482*u**5 + 1246 - 25*u - 67*u**5 + 11*u + 15*u wrt u.\nAnswer: 13260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -9. Let k(m) = 8*m**3 + m - 1. Let g be k(f). Suppose -11*i = -g*i - 42. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -2 (c) 5 (d) -1656 (e) -2\/13 (f) -7.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56871\/7 - -8125. Factor 20\/7 + d*o**2 + 24\/7*o.\nAnswer: 4*(o + 1)*(o + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = -6*r + 75 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -8*t + 1. Suppose -10 = 2*z + 2*h, 4*h - 3 = 3*z + 12. What is the remainder when s(z) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5888 by -46.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((9\/3)\/(-18))\/(404\/(-6060)))\/(-10)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19*-0.33\nAnswer: 6.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13671?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z - 5. Let u(m) = 7*m - 3. Let i(j) = -4*l(j) + 9*u(j). Let y be i(7). What is the remainder when 47 is divided by (y\/(-21))\/(1\/(-18))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-50))\/((-14)\/(-15))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + k + 69*k**3 + k**4 - 2*k**2 - 2 - 41*k**3 to g*k + r + i*k**2 + w*k**4 + f*k**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*q - 4*q - 5*g, 0 = q - 4*g - 8. Suppose -4*n - 68 = -4*t, 0 = -5*t + 2*n + 96 + 4. What is the remainder when t is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2533 or 366?\nAnswer: 2533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61246707 rounded to four decimal places?\nAnswer: 0.6125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 5. Suppose 5*t - o = 5*v, 5*t = -2*v - v + 26. Solve t = -4*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/(-28) + 4\/7. Let v(i) be the first derivative of i**a - i**3 + 1\/3*i**4 - 2 - 1\/3*i. Factor v(x).\nAnswer: (x - 1)**2*(4*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 41252.91g?\nAnswer: 41252910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**3 + 2*n**2 + 6*n + 3. Let y(t) = t**3 + t**2 + t. Let c(p) = -o(p) + 6*y(p). Determine c(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.4 and 382 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/7 - 5892*p\/7 - 105408\/7 = 0. What is p?\nAnswer: -2928, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/2)\/((-21)\/(252\/15)). Let c(p) be the third derivative of -1\/30*p**5 - 10*p**x + 0 + 0*p**4 + 0*p - 1\/6*p**3. Differentiate c(h) wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.0054, 106, -4?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4 + 3668*v**3 - 22152*v**2 = 0 for v.\nAnswer: -923, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -16 (b) -0.2 (c) 1.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 273 - 271. Solve 2*j = -p*y + 10, -3*j - 5*y = -4*j - 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 18*o**2 - 29. Let a be ((-184)\/69)\/((-1)\/6). Let s be l(a). Let r = -277 - s. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42232685 to the power of 1\/2, to the nearest integer?\nAnswer: 6499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 + 42*s - 21. Give r(21).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -47. Suppose -5*w + 3*v = -415, w - 43 = -2*v + z. Suppose -4*r = 3*s - w, 22 = 5*r - 3*r - 3*s. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-20)\/18 + 1). Let z = k + 10. Sort -4, 4, z.\nAnswer: -4, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402921 divided by -27?\nAnswer: 14923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/21*(-1661)\/(-4065). Let t = c - 1\/2439. Is t greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 32\/5 of a millennium?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074260772 to the power of 1\/2, to the nearest integer?\nAnswer: 32776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*t**3 - 18*i*t**2 + 4*i*t + 85*t wrt t?\nAnswer: 12*i*t - 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*j**2 - 5*j**2 + j**4 - j**4 + 5*j**4 + (5 + 2 + 1)*(3*j**4 + j**4 + 0*j**4).\nAnswer: 37*j**4 + 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwhwwhhwhh. Give prob of picking 2 w and 2 h.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 7 = 2. Suppose -l + 22 = 5*o, -f*l + 17 - 7 = o. Let s = -6.7 - -7. What is the third biggest value in s, o, 3\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2615 + 2614.999991525. What is v rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - ((-9 - (-2 - 6)) + 6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 93*n - 94*n - 64, n - 96 = -3*t. What is the highest common factor of 10320 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 14. Calculate the remainder when 18 is divided by u(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 849*j**7\/35 - j**4\/12 + 425*j**3\/6 + 3494*j**2. What is the second derivative of y(v) wrt v?\nAnswer: 61128*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 1 h when three letters picked without replacement from {n: 1, h: 5, o: 6, d: 5, t: 1, p: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*o + 4533, 0*k - 3*k - 2269 = -2*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 2)*(-2)\/5. Let h(k) = -28*k + 1. Let b be h(-1). Let z = -21 + b. Solve 2*u + 5*c - 11 = 0, s*c - 6*c = 2*u - z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -332 - -416. Let w = k - 51. Calculate the remainder when 128 is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*y + 1 - 1 + (-2 + 5 - 1)*(-51 - 14*y + 51) to the form c + f*y and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let q(a) be the second derivative of a**7\/630 - a**4\/12 - 2*a. Let l(d) be the third derivative of q(d). What is l(g(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124229.1831 - -124244. Let x = n - 14.88. Let m = 0.2559 - x. What is m rounded to two decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i = 53 + 85 - 28 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -55. Let r be -5 - -2 - y\/(-1). Solve -r = f + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 12:26 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 557, 836?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -34*j - 2. Let q be r(2). Let f be (-60)\/q + 2\/14. Suppose 3*t + 13 = -3*o + 2*o, 2*t + 2 = o. What is the closest to f in 2\/7, t, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179152 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 86*h**2 + 196*h + 1788. Give m(-88).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**4\/12 + 7*i**3\/6 + 5*i**2\/2 - 2*i. Let m be c(-7). Suppose 0 = -m*r + 25. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u + 5. Suppose -13*x = 4*r - 11*x + 16, -r = -x + 10. Give g(r).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -2*x - 22, -434*g = -432*g - x + 19 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 999730 (base 11) to base 6.\nAnswer: 54100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113719207 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 6) to base 10.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = 11*w + 120 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -13. Let d = -7 - -4. Suppose 3*l - 5 = 2*p - 19, 4*l + 8 = 0. Put p, w, d in ascending order.\nAnswer: w, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clccafffacxafoofcffa. What is prob of sequence fco?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d**2 - 212*d - 3047. Calculate z(-14).\nAnswer: 1685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -2\/15 (c) 0.0462\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h = -146 - 157 + 53. Calculate the highest common divisor of 2060 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.607 - 4.393. What is the biggest value in -4, 3, -1\/6, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/2 + 11121*j**2 - 88944*j + 177872 = 0.\nAnswer: 4, 22234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.03*-0.00205.\nAnswer: 0.0246615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4029024 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 4\/10) + (878847\/4380 - 194)\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30371336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 7*w**2 + 5*w + 7. Suppose 14 = -m + 20. Calculate v(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7104 a factor of 1019921280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-7 + 1 - -1) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -319556, -20, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552016.6 days in hours?\nAnswer: 13248398.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*x = -10*x - 157916. List the prime factors of x.\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from yyrwbwrbwbbbbrbww?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 27. Let u = -19 - c. Solve u*f - 4*f = 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45600 divided by -6.\nAnswer: -7600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6104 + -6114 - (0 + 68\/(-6))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(704) + (sqrt(77) - (sqrt(77) + 5*sqrt(77)))\/sqrt(7) + sqrt(11))**2.\nAnswer: 32*sqrt(11) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -5 (c) 17 (d) -2 (e) -1\/38 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 4:18 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-9 + 12 - 5 - 2) - 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37564635 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2815170.13 less than -101008?\nAnswer: -2916178.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - c - 3. What is j(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 10*c - 5. Let w(r) = r**3 - 8*r**2 - 9*r + 9. Let u = -62 - -71. Let l be w(u). Calculate t(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 35.25475 minutes?\nAnswer: 2115285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 92*s**2 - 6*s + 6. Let q(d) = -39*d**2. Let f(c) = -3*q(c) - v(c). Let a(u) = -1674*u**2 - 403*u + 403. Determine 6*a(i) + 403*f(i).\nAnswer: 31*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**2*n - 6611787*m**2 + 4*m*n + 7*m + 2*n - 65024 wrt m?\nAnswer: 2*n - 13223574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/21 + (-732)\/(-14).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -1 + 7 + -3. Suppose -5*j = -3*j - i*h + 68, 2*h = j + 34. Let n = j - -54. What is the lowest common multiple of n and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/144*16\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 + 12*r**2 - 8*r.\nAnswer: -4*r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Suppose s = 2, -a*s = 4*g + 9 + 3. Let r = g + 6. Sort -4, r, -2\/11 in increasing order.\nAnswer: -4, -2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7590 is divided by 7561.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - q = -12, 3*q - 7 = 5. Suppose 2*t = 56 - 46. Solve 0 = 3*p - 3, 2*p - t = -y + c*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2. Let l(k) = -k - 9. Determine l(y(m)).\nAnswer: 3*m**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 170 - g**2 - 2 - 2*g**3 + 5 - 4 as k*g**2 + v*g**3 + d*g + s and give s.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22615963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1.399, -0.07, 5, 17 in descending order.\nAnswer: 17, 5, 1.399, -0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/15*6715\/(-316) - (-10)\/12. Suppose p - 55 = -7. What is the greatest common divisor of p and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f*((f*f**(-12)*f)\/f)\/f*f))\/f))\/f**(-2\/3))**9\/((f**(-1\/5)*f)\/f**(-1\/7)*(f**8\/f)\/((f*(f\/(f*f**(2\/7)))\/f)\/f*f)) assuming f is positive.\nAnswer: f**(-2913\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -4008802.\nAnswer: -36079218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 13. Let z be (-17)\/(-4) - h\/52. Solve 4*j + 6 = 5*d, 4*d + z*j + 9 = -15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*x**2 - 494*x - 143*x - 423 + 318*x - 251 wrt x?\nAnswer: 6*x - 319","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 e when two letters picked without replacement from {e: 2, u: 2, f: 1, p: 2, i: 1, k: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 3*c**2\/2 + 11*c - 60. Let h be n(16). Is h at least as big as 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -257 + 48?\nAnswer: -20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8326.0006763 + 8326. What is k rounded to five decimal places?\nAnswer: -0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6248 = 2*n - 0*n, 2*n - 6268 = 2*a. Suppose 0 = 5*r - 2*p + n, 2739 = -5*r + 3*p - 387. Let w = r - -1168. Round w to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/456726 and -143\/5604.\nAnswer: 913452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 579951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + -22 + 23\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117929, 235865, 353803, 471743, 589685?\nAnswer: 707629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 3*s + 1. Let z be p(2). Let c(b) = 327*b + 4252. Let u be c(-13). Solve 0 = z*i - 5*i + 4*g - 28, -4*i - u = 3*g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443008.71 rounded to the nearest ten thousand?\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.65 + -33. Let a = i - -0.1. Round a to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2548?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 + -10.82. Let a = m + 11.1. Let p = -0.2 - -1.2. Sort a, p, 0.\nAnswer: 0, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 14*o**2 + 7. Let i be 14*1*(-2)\/2. Does 6 divide q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let m(p) = -220239*p**2. Calculate z(m(j)).\nAnswer: 220239*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5 - 96*y**4 - 666*y**3 + 29348*y**2 + 501120*y + 1915200 = 0.\nAnswer: -21, -20, -6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 4 - 2*p**2 - 2*p**2 + 6*p. List the prime factors of a(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 7558776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 43*p**2 + 0 - 1\/24*p**4 + 0*p + 3\/10*p**5 - 11\/2*p**3. What is the first derivative of x(d) wrt d?\nAnswer: 36*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 - 22904*o**3 - 32855716*o**2 - 196516320*o - 294465600 = 0.\nAnswer: -2860, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6655))\/(1*sqrt(704))*-4*6.\nAnswer: -66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(3) + 1 + sqrt(3) - (sqrt(3) + (1*sqrt(24))\/sqrt(8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -5, -8, 1, 1\/5 in decreasing order.\nAnswer: 1, 1\/4, 1\/5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*q - 3*q - 128, 124 = 4*y - 4*q. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - (-2724)\/(-544)) + 1. Let v = 135 + -136. Which is greater: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -17. Let i(q) = -18*q. Let h be i(g). List the prime factors of 582\/h - 4\/(-6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -392*h + 2. Let d(t) = 21*t**2 + 77*t - 11. Let o(p) = -11*p**2 - 35*p + 5. Let q(y) = 5*d(y) + 11*o(y). What is u(q(j))?\nAnswer: 6272*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.42 - -6.92. Let n = -0.38 - -0.18. Which is the third smallest value? (a) -26 (b) t (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 4270570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s + 1. Let k be v(2). Suppose 4*l + 11 = -k. Let j(c) be the first derivative of -c**2\/2 + c - 3. Determine j(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1486*z - 315*z - 17*z**3 + 2356*z**5 + 18*z**3 - 273*z**5 wrt z?\nAnswer: 41660*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 206 = 3*s - 17*d, -2*s = d + 4296 - 4306 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 105.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12077 - 6?\nAnswer: 12071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -10, -27, -52, -85?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 9*a - 18. Suppose 0 = -5*h + 24 - 89. Is l(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 123\/15 - (-5 + 13). Find m such that 1\/5*m**2 + j*m**3 + 0 - 2\/5*m = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, b: 1, o: 4}. What is prob of picking 1 o and 2 j?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/(-40))\/(5\/40*-3). Sort 4, 2, t, -5.\nAnswer: -5, t, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11286, -22576, -33870, -45168?\n\"Answer: -2*r**2 - 11284*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23361 + -23360. Is -13\/608 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*-1*(-8871)\/(-186291)*(-2)\/6.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-5)\/m))**24*(m**(-3\/13)\/m*m*m)\/((m*m*m\/(m\/(m\/(m**15\/m)*m*m)))\/m))**50 assuming m is positive.\nAnswer: m**(116200\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i + 2. Let y be t(2). Let r(u) = 2*u**2 + 8*u + 8. Let s be r(-2). Is 2 - (4 - s) - -223 - y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18593161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(513)*-2 - sqrt(513) - sqrt(513))*-5)\/(sqrt(192)*2 + -1*sqrt(3)*3).\nAnswer: 60*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -234, -33672, -3 in decreasing order.\nAnswer: -3, -234, -33672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 245 and 10?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = n + h, 19 - 58 = -4*n - 3*h. Solve 5*k = -5*x + 20, n*k - 16 = x + 3*k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2277*j - 2480*j - 2343*j + 7097*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4880 + 24433\/5. What is the common denominator of f and 5\/15 + 224\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**2 - 2*s**3 - 2*s**2 + (-s + s - s)*(2*s**2 + s - s) + 0*s**3 - s**3 - s**3 - 3*s**3 + 3*s**3 + s**3 + (-3 + 1 + 3)*(0*s**3 + 2*s**3 + 0*s**3).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13 + -12 - 362\/2. Does 29 divide -8*(m\/16 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 18, 126 in decreasing order.\nAnswer: 126, 18, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 191*f**3 + 2*f**2 + 4*f - 4. Is l(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34013 + -1111?\nAnswer: 32402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -687 and 5?\nAnswer: -3435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-40)*20\/(-14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + f - 16*f + 58*f.\nAnswer: 43*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 192 and 65223388?\nAnswer: 65223196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -0.2379?\nAnswer: -0.7379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Suppose -u*n + 45 = 2*n + 5*j, 10 = -n + 3*j. Let q(w) = w**2 - 3*w - 6. Is q(n) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 - 139. Suppose 0 = u - f*s - 30 - 99, 0 = 5*u + 2*s - 585. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6015603, -6015601, -6015599, -6015597?\n\"Answer: 2*b - 6015605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by 68?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, a: 1, s: 1}. What is prob of picking 1 s and 3 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 2*u + 3*u)*(0 + 0 - 1) + 2*u - u - 3*u + 79 - 155 + 76 + 302*u in the form f*u + h and give f.\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let z be -3*-5*1\/(-5). What are the prime factors of t*z\/(-6) + (44 - 0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 3 + 0)*-4. Suppose 0*p + r*p = 134080. What are the prime factors of (-4)\/(-26) - p\/(-130)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012110020210 (base 3) in base 13?\nAnswer: 1949a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4*(sqrt(171) + sqrt(171)*-1 + sqrt(171)))\/sqrt(9).\nAnswer: 5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741313036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/80)\/((12342\/(-595))\/22)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*y**2 + 4*y**2 + 35*y**2 + 8151.\nAnswer: 8*y**2 + 8151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) - 380\/(-6). Let j = -22208 - -22224. Let u = i + j. Calculate the greatest common factor of 200 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 602 + -658. Which is the third smallest value? (a) m (b) 0.5 (c) -3\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441 - 139 = -55*z + 740 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 30 = 3*q, -2*q = -4*w + 243 - 263 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 17*g**2 + 12*g - 136. Let w be y(-19). Find the second derivative of 134*p - 30*p**5 - w*p + 0*p**5 wrt p.\nAnswer: -600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 837, 839, 841, 843?\nAnswer: 845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 38818, 77633, 116448, 155263, 194078?\n\"Answer: 38815*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 12*j + 29. Calculate r(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2 + 4*u**2 + 2*u + 2*u**2 - 3*u**2. Let h = 2 - 4. What is the units digit of t(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 92 - -b?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 4*u = 4 - 2, -5*a - 5*u - 5 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (519*(-9)\/27)\/(3577\/1792 + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 12*t + 17 + (12 + 1 - 2)*(5*t - 1 + 1) - 3*t + 4*t - 3*t.\nAnswer: 65*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-9))\/(5\/(-1))*15\/18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12095 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/16972536 and -12\/11?\nAnswer: 186697896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 53231234?\nAnswer: 53231230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/3)*(j\/(j\/(j\/j**(2\/11))))\/j*j*j*j*(j*j*j**(-2\/9))\/j*j\/(j\/((j\/(j**(-6)\/j))\/j))*j**(-2\/5)*j*j*j**0*j**2\/(j**(-3\/2)*j) assuming j is positive.\nAnswer: j**(13889\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2330663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10100001001001011 (base 2) to base 5\nAnswer: -10120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111101101011010010100 (base 2) in base 4?\nAnswer: -113231122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*o - 4, 2 = -2*o - 3*q + 7*q. Let k(n) be the second derivative of -1\/12*n**4 + 2*n + 0 - 5\/6*n**o + 1\/2*n**2. What is k(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + l**2 + 3*l**2 - 8*l**2 - 6*l**2 + 3*l**4 in the form p + m*l**4 + t*l**2 + o*l + k*l**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 10*z**2 - 25*z + 30.\nAnswer: 5*(z - 3)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1242, 2489, 3740, 4995?\nAnswer: 6254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 10:33 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 644 + -16098\/25. Which is the nearest to -31\/4? (a) -1 (b) w (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46, 56, 56, 40, 2, -64, -164, -304?\n\"Answer: -p**3 + p**2 + 14*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 n when three letters picked without replacement from {n: 6, v: 11, k: 2}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/9, 0.11, 83?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6868? (a) -0.5 (b) 1 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2244350*3.\nAnswer: 6733050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1874 divide 3171209978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/9, 0.2, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(1854\/8034*(-13)\/14)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 3*q**3\/2 - 6*q. Let v(z) = z. Determine v(o(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnz when three letters picked without replacement from nnfznnfpnnzpf?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139406537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*s = 0, 0*s + 2*s + 8 = 0. Let v(r) = -5*r**2 + 51*r - 229. Let m(z) = -z**2 + 9*z - 38. Let c(o) = 6*m(o) - v(o). Determine c(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/15 + 20686*k**2\/5 + 2116908*k\/5 = 0. Calculate k.\nAnswer: -102, 0, 31131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 7*j**2 - 6*j - 5. Let y be d(-6). Let p be (-28)\/(-70) + 1\/y. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 9:05 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*y, 3*f + 3*y = 5*y + 8. Let l = -3122 - -3121. Put 91, f, l, -2\/11 in decreasing order.\nAnswer: 91, f, -2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 287, 0, 5, 482 in descending order.\nAnswer: 482, 287, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -48*c**2 + 9*c + 6. Let u(b) = 16*b**2 - 3*b - 2. Let i(w) = -6*h(w) - 17*u(w). Let z(g) = g**2. Let v(y) = i(y) - 4*z(y). Is v(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5692 + 22.6075. Let p = 19.13 - v. Round p to three dps.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 6)*(-3 + 3*g**2 + 2*g**2 - 4*g**2).\nAnswer: 2*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.057 - 47.943. Let j = s + 59. Let c = j - 10.9. Which is smaller: -2\/5 or c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of 5*d**4\/24 - 2*d**2. Let w(p) = -16509*p - 16507*p + 33017*p. Calculate w(z(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/24*(1790\/50 - 34)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16694798 a multiple of 2642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0*k**3 + k**6 + 0*k**2 + 5\/42*k**7 + 0 + 5\/2*k**4 + 11\/4*k**5 - 84*k. Find b, given that q(b) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 minus 36049.1757?\nAnswer: -36049.0957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/(4\/16)*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - 2*sqrt(832)*1) + ((4*(sqrt(832) + 1))**2 - sqrt(832)).\nAnswer: 240*sqrt(13) + 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f**4 + 3*f**2 - 4 - 6*f**3 + 9*f**3 - 11*f**4 in the form l*f**4 + o*f + q + k*f**2 + z*f**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2 + 63*u - 1092. Calculate f(32).\nAnswer: -1124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 + 106. Suppose o*f - 71 - 173 = 0. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2. Let c(o) = 67358*o**2. Give c(t(l)).\nAnswer: 606222*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**6\/144 - 11*u**5\/360 + 7*u**4\/144 - u**3\/36 + 9*u**2 + 10. Let s(y) be the second derivative of o(y). Factor s(c).\nAnswer: (c - 1)**2*(5*c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*x + 567 = 4947 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(99) + -3*-1*sqrt(99))*4)\/(sqrt(1296)*-1*4))**2.\nAnswer: 2*sqrt(11) + 92\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161616 is divided by 53832.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 12 - (-22 + 8 + -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 9:06 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25470 - 13525 = -11*z. Suppose 0 = 3*y + j - z, 643 = 4*y - 4*j - 4073. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + w**2 - 2*w**2 + 2*w + 2)*(w**2 + w**2 + 5*w**2)*(-1 + 2*w + 1).\nAnswer: -14*w**5 + 28*w**4 + 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300706)\/15995)\/((-2)\/(-5)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Let z be 22 - 21 - 3\/(-2 + 1). Let b(n) = 512*n**2 - 2*n + 3. Let c(u) = z*i(u) + b(u). Is c(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/17 + 10*r**4\/17 + 18*r**3\/17 + 14*r**2\/17 + 4*r\/17 = 0. What is r?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -3\/2*g**3 + 3\/20*g**5 + 14*g**2 + 0 - 18*g - 1\/24*g**4 + 1\/120*g**6. Let j(i) be the first derivative of x(i). Factor j(w).\nAnswer: (w - 1)*(w + 1)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*p - w - 145, 0 = -3*w - 15. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.2, 26\/9 in increasing order.\nAnswer: -0.2, 26\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.39962, -7.55 in increasing order.\nAnswer: -7.55, 0.39962, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61653 + 14531. Let d = 4663270\/99 + i. Let w = -166\/9 - d. Which is the second biggest value? (a) w (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/7 + 21607442*u**2\/7 + 43214890*u\/7 + 3086778 = 0. Calculate u.\nAnswer: -1, 10803723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 333*v + 13. Let p be n(-6). Let u = 2965 + p. Round u to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 8937*s = -8925*s + 188, -c = -5*s - 9 - 70 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5106.339 years in centuries?\nAnswer: 51.06339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 4800*l**2 - 1536000*l + 163840000.\nAnswer: -5*(l - 320)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -65, -101, -137, -173?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206 - -247. What is the remainder when 777 is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 912, 5 in decreasing order.\nAnswer: 912, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by 336?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-5 - 21\/3)*(-2)\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905014?\nAnswer: 2, 11, 31, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = -0*z + z - 3*f, 396 = z - f. Let y = z + -130. Suppose -5*m + 5*q = -4*m - 104, -3*m - q = -y. What is m rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -0.1 (b) 5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 2*u - 16. Suppose -7 = s - 2*t, 3*s - 2*t = -3 - 2. Let g be -4 - ((-9)\/s - 2). Is z(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 7*q + 8. Let r be w(-9). Let i be (-88)\/4*r\/(-4). What is the tens digit of 321\/11 + 10\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3303, -3341, -3385, -3435, -3491, -3553, -3621?\n\"Answer: -3*b**2 - 29*b - 3271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/7)\/t)**(5\/6)*t**6*(t\/((t\/t**(1\/18)*t)\/t))\/t assuming t is positive.\nAnswer: t**(577\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*i + 75*b - 79*b, 0 = 5*i + 126*b - 1159 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 329872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4*(1 + -3). Let r = 0.01 - 4.01. Let g = 0.69 - -0.31. What is the closest to f in r, g, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/17)\/(3\/(-24))*(-6)\/(-24)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 8:49 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -13?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1364*m**4 + 975*m wrt m?\nAnswer: -16368*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4389984 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 + 104.8. Which is the closest to 14.8? (a) -2 (b) 1\/7 (c) i (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 - -217. Let h = g - 75.907. Round h to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 2, c: 1, t: 1, u: 1, h: 1}. What is prob of sequence lz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 21. Let g be q(-17). Let c be g\/(-8)*0\/(-2). Suppose 3*s - 2 - 16 = c. Solve 2*v + 0*v + s = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 77970 and 6204.\nAnswer: 80620980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 13*z + 11. Suppose 0 = -2*m + 4*m + 24. Let q be i(m). Sort q, -4, 2.\nAnswer: -4, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15075 and 7562.\nAnswer: 113997150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (8 + -6)) + 9 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/4))\/(i**(-20)*i) assuming i is positive.\nAnswer: i**(79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3 + 22*x**2 - 85*x = 0.\nAnswer: 0, 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18901338, -18901331, -18901324, -18901317, -18901310?\n\"Answer: 7*i - 18901345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 508*m**2 + 33*m**2 + 23 as z + u*m**2 + c*m and give u.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2045, -7624, -16927, -29960, -46729, -67240?\nAnswer: -91499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 716367380 a multiple of 2202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.74 + 65.74. Let y = t + -66. Which is smaller: -0.09 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108012 (base 10) to base 4.\nAnswer: -122113230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + m**2 - 21*m + 42. Calculate g(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388912 is divided by 55556.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 502820 and 29140?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) -9 (c) -1\/3 (d) 4 (e) 28 (f) 109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 989721.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3960222.\nAnswer: 2, 3, 7, 94291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -0.4. Let i = x - 2.6. Let k = 20.94 + -21. What is the second biggest value in 0.2, i, 0.4, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4714609 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/42)\/(28\/(-84))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 6) + 7 + (9 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.101282 + -0.1016. Round l to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8b39 (base 12) to base 4.\nAnswer: -3301131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from {p: 4, l: 3, o: 3, d: 3, x: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3215199 by 13017.\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most as big as -659233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 7:28 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, -10, 21, -3 in increasing order.\nAnswer: -99, -10, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/25996 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 331442441 (base 5) to base 14\nAnswer: 295ac6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s + 5*s + 16 - 73*s**2 + 74*s**2. Let t = -23 + 10. Let g be q(t). Solve -g*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p + 3200 - 2801 = 0 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3592*t - 7170*t + 4 + 3*t**2 + 3608*t - t**3 to o*t**2 + r + a*t**3 + z*t and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 1 + 29 + -1. Suppose 3*k - 5*x - h = 0, -4*x + 0*x - 24 = -2*k. Is 5 a factor of (-1 + -19)*k\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3130 is divided by 131?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1200147 - -1364?\nAnswer: -1187673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + t**2 - 3*t + 7. Let p be k(5). Let y be (-43 - 1)\/(4 - 3). Let c = y - p. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 69537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfllkrww. Give prob of sequence lf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iboibofiiii. What is prob of sequence ib?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*d - 26*v, d = 108*v - 103*v + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/2))**(-14))**(5\/6) assuming u is positive.\nAnswer: u**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4067*c - 3 - 22*c**3 + 8125*c - 4058*c + 128.\nAnswer: -22*c**3 + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 - 104871882?\nAnswer: -104871866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8013\/68 or 2\/345?\nAnswer: 8013\/68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 6, -3*y - 2*c - 7 = -0*c. Sort 2, 1\/14, y in increasing order.\nAnswer: y, 1\/14, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f. Let w(h) = -7*h. Suppose 0 = -2*c - 3*g + 16, -24*g = 2*c - 25*g - 8. Let q(b) = c*t(b) - 6*w(b). Let x(p) = 7*p**2. Determine q(x(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1001110 (base 2) to base 11\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - 2 - -2 - 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30030 and 3948490?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 26. Suppose 10 - 23 = -3*l + 2*o, 0 = -2*o + 2. Suppose 140*b = 3*j + 135*b - 5, -2*j + 8 = -b. Solve j*f + 0*v + w = v, -l*f = -5*v + 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2. Let c(k) be the second derivative of 4*k**5\/15 - 11*k**2\/2 - 14*k. Let r(n) be the first derivative of c(n). Determine g(r(a)).\nAnswer: 256*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 27677?\nAnswer: -27680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k = 8. Let q = -468 + 245. Let w = -206 - q. Solve 5*a = k*f - 0*f + w, a - 8 = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c - 10. Let y be i(-9). Suppose -4*p + y = -0. Suppose -2*s + w = -15, s + p*w = -3*s + 18. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*v + 258*v - 1269 = 0. Solve v = 13*o + 40 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(2\/3))\/s)\/s*s*s)\/(s**(2\/3)*s)*((s**11*s)\/s)\/s**(-2\/21) assuming s is positive.\nAnswer: s**(233\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 - 1.5. Let v = 282.742 + -283. Let n = -0.058 - v. Which is the third biggest value? (a) 0.1 (b) l (c) n (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 56 = -63 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22642, 45287, 67934, 90583, 113234?\nAnswer: 135887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {c: 1, x: 1, p: 3, n: 5, r: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttntnnnttttntt. What is prob of sequence ntt?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 20. Suppose -12 + 32 = c*b. Differentiate b + 8*d**4 + 10 - 2 with respect to d.\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 269.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251979080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1112499*l**3 + 3*l**2 - 5*l + 6. Let v be u(2). Round v to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000082130258 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158704, 317408, 476112?\nAnswer: 634816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/21*(-1)\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 + 28*f**2 - 44*f + 20 = 0. What is f?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -15. Let u(v) = v**2 - 9*v + 2. Let w = -11 + 21. Let g be u(w). What is the highest common factor of t and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*o**4 + 9666*o**3 + 4969948*o**2 + o.\nAnswer: -864*o + 57996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -37*o + 42*o. Is 10 a factor of (o\/(-4))\/(24\/(-13280))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 911 divide 101306844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-86)\/4)\/((-2)\/(-4)). Let y = 46 + w. Solve -5*i + 2 + y = 5*a, -a - 5*i - 7 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11853803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 242\/3 + (-3)\/(-9). Suppose u + 2 = n. Suppose 2*t = n + 57. What is the remainder when t is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337066300?\nAnswer: 2, 5, 37, 91099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t - 20 = 0. Let s be t*3\/(-6) + -2. Suppose s*a - 32 = -4*j - 2*a, 4*a = -8. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -236 - -242. Let i(k) = -k**2 + 8*k - 12. Give i(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -13*t**6\/10 - t**4\/12 + 667*t**3\/2 + 177*t. Find the second derivative of v(g) wrt g.\nAnswer: -468*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**5 - 21*a**4 - 138*a**3 - 298*a**2 - 261*a - 81 = 0. What is a?\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**6\/15 - 2*r**5\/5 + r**4\/6 + 16*r**3\/3 + 12*r**2 + 190*r. Suppose z(t) = 0. Calculate t.\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -72, -99, -124?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 49.9. Let p = -2.6 - 0.4. Which is the nearest to h? (a) 0.1 (b) 5\/4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4862*o**2 + 216*o - 216*o - 3316*o**2 + 1509*o**2 as g*o**2 + y + u*o and give g.\nAnswer: -6669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**2\/2 - 16*g + 2827. Determine x(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.25862.\nAnswer: -0.077586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 19275 = -5*o, 15*d - 15426 = -4*o + 13*d. Suppose l + 4*l + o = 3*u, 2*u = -5*l + 2586. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -20. Let i = 0 + 0. Suppose 3 = q - i*q. Solve -3*s - v*x = 2*x - 24, 0 = 3*s - 4*x + q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -293.00000174 - -293. Round u to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.544 - 278.456. Let o = 284 + g. What is the third smallest value in -16, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*h**2 + 4*h**2 - 3 + 3 + (1 + h - 1)*(6 + 0 + 2*h - 4).\nAnswer: 4*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 406\/3 - 135. Factor -y*p**3 + 0 - 2\/3*p**2 - 1\/3*p.\nAnswer: -p*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*a**5 + (4*a + 4*a - 6*a)*(872*a - 872*a - 66*a**4).\nAnswer: -134*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z. Let f(d) = -7*d + 13*d - 4*d. Determine 7*f(l) - 5*y(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 + 65*h**3 - 285*h**2 + 475*h - 250.\nAnswer: -5*(h - 5)**2*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {z: 2, j: 2, e: 1, r: 1, o: 1, c: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, w: 4, j: 4}. What is prob of picking 1 w and 2 p?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*n - 29, n - 6*n - 17 = j. Solve -3*v - 4*k + 3*k = -4, -v + j*k + 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 232731, 232729, 232727?\nAnswer: 232725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = -2. Let o(f) = 7*f**2 + 11*f**2 - 1 + 6*f**2 + 4*f**2. Is o(a) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 590\/4 - ((-21)\/(-42))\/((-2)\/10). What is the highest common divisor of l and 2025?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196746 is divided by 535?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-3 + 3 - s) + 1 - 1 + 2*s + (0 + 3 - 4)*(-8*s + 2*s + s) - 6*s + 5*s + 3*s + (-3*s + s + 0*s)*(-2 + 2 - 1).\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 5, 3*q - 25*l = -26*l - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*(4*(sqrt(190) - -2*sqrt(190)) + sqrt(190))\/(sqrt(40)*-1)*3 + 4))**2.\nAnswer: 16848*sqrt(19) + 2341395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2303 + 1081 + 751 + 155*y. Determine b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 179241183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 655, 668, 681, 694, 707?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*3\/(-12))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:33 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15288 and 297336.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 96*r + 28312. Calculate b(-326).\nAnswer: -2984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 4*d**3\/3 + 9*d**2 + 19*d - 10. List the prime factors of r(-7).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564*h = -563*h - 1370. What is h rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 50\/47, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*q**2 + q - q + 88*q**2.\nAnswer: 165*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6206, 12260, 18310, 24356, 30398?\nAnswer: 36436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/(-91) - (-126)\/294. Let i = 10.9 - 11. Which is the third biggest value? (a) 2\/5 (b) i (c) 0.1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12 + (5 + 7 - -144). Let q(g) = 42*g**2 - 2*g + 1. Let c be q(-3). Let h = c - l. List the prime factors of h.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19249?\nAnswer: 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1114 - 114?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6, -30 = -v - 3*v - 2*s. Solve 0 = v*d + 10 + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**2 + 694. Let k(j) = -990*j**2. Give s(k(b)).\nAnswer: -4900500*b**4 + 694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1700) + 0.\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 4)*(2*m - 2 + 2) + 67*m - 106*m + 73*m as y + g*m and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*h = 25, 2 - 3 = -h. Solve 5*d - 2*p + 22 = 0, -q*d - p - 15 = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(26)*-2)\/sqrt(2) - -2*sqrt(117)) + (-1 + sqrt(117) - (sqrt(104) + sqrt(104) + sqrt(104) + 2*sqrt(104) + sqrt(104))\/sqrt(8)))**2.\nAnswer: -2*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bybbbybb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/9)\/(i**7*i)*(i**(1\/3)*i)**(-22\/5)*((i\/(i*(i\/((i**(2\/21)*i)\/i)*i)\/i))\/i**7)**(-4\/33) assuming i is positive.\nAnswer: i**(-15166\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 1. Let x(a) = -8*a - 18. Let j(o) = -6*r(o) + 2*x(o). Let q be j(-2). Solve -q*w - 10 = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (759\/77 - 11)\/((-4)\/(-14)). Sort -3, t, 1, -1, 9 in descending order.\nAnswer: 9, 1, -1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 36 = 3*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701686 is divided by 4780?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -628*o**6 - 468 - 611*o**6 - 434*o**6 + 1298*o**6 + o**2 wrt o.\nAnswer: -45000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 47, 357, 1195, 2825, 5511, 9517, 15107?\n\"Answer: 44*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 2 = 4*l. Let c be -1 - -7 - l\/(-2). Solve -5 = -4*t + c*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5321*a**3 - 3*a**2 - 3*a**4 + 16 - a + 5321*a**3 in the form i*a**3 + s*a**4 + g*a**2 + h*a + c and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 1. Let z be g(-1). Let f be -19 - (z + (0 - 1)). Let b = f + 43. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 2:31 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + g**2 - 2*g + 4. Is 6 a factor of v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**15*r**3*r)**(-2\/81))**(-2\/3) assuming r is positive.\nAnswer: r**(80\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -35959*k - 647231. Give y(-18).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 7*f**2 - 24*f - 169. Determine i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 1. Let v(k) = -k**2 + k + 9. Let t(s) = -6*n(s) + v(s). Determine t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m**3 - 15*m**2 - 8. Suppose 0 = -2*s - 2*x + 10, 3*s - 5*x = 3 + 28. Let j(t) = 5*t**3 + 8*t**2 + 4. Let g(r) = s*j(r) + 4*i(r). What is g(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930 = -54*c - 101*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, 4, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54a776 - 7?\nAnswer: 54a76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*o - 48, 5*o - 175 = -0*u - 4*u. What is the greatest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52 + 77. Suppose 5*r = -0*r - 10, -m = -3*o + 5*r. Suppose 0*i + 50 = o*i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34.17068 and -9560456.\nAnswer: -9560490.17068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 5290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2665*i**2 - 52*i + 1?\nAnswer: 5330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/2280 and -49\/1366860?\nAnswer: 2733720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 822031.\nAnswer: 7, 43, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/((9\/(-4))\/3). What is the highest common divisor of h and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 15*g**2 - 18*g + 131. Give h(-12).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10558 - 21117\/2. Is 241.3 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772.455 decades in centuries?\nAnswer: 277.2455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**5\/2 - 25*t**4\/2 - 75*t**3 - 115*t**2 + 151*t\/2 + 255\/2 = 0 for t.\nAnswer: -17, -5, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -18, -7, -4, 159, -2 in descending order.\nAnswer: 159, 1, -2, -4, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 w when three letters picked without replacement from wwjggwg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d10067d - 5?\nAnswer: -1d100683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 115.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-10) - 9\/(-15). Suppose d = -5*w - 0*w - 15. Which is the nearest to 1? (a) -0.1 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -278 (b) -0.4 (c) -0.16 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.032 - 0.198. Let p = i + 2.43. Let v = p - 2.20055. What is v rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/12*(-3)\/((-81)\/(-4))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -10877320 and -10877319 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 11 (b) -4 (c) 2\/5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3245 and 590.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8435\/9 - -691121\/738. Let f = 677\/10 + -451\/5. What is the common denominator of t and f?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 31 = 3*f, -4*s - 1 = -17. Let k be (-16)\/f - 4\/(-18). What is the units digit of (1\/k)\/((-1)\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(2 + -7))\/((-1)\/(-21)). Calculate the highest common factor of s and 168.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -2\/35 (c) -5 (d) -3\/4 (e) 0 (f) -2\/13 (g) -251\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (33\/(-6))\/((-2)\/8). Suppose -5*n + 4*i + 0*i + c = 0, 2*n = -i + 1. Suppose -10 = n*s - 34. Calculate the remainder when 22 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17787 + -17786.9887. Sort a, -2\/3, -2\/9.\nAnswer: -2\/3, -2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*s - 19, 0 = 3*m - 2*s - 1 - 10. Let u be (-13)\/(0 - (m + -3 + -1)). Suppose 6*w - 149 = u. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, m: 1, x: 1, b: 4, g: 1, l: 1}. What is prob of picking 1 m, 1 x, and 1 g?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 82*q + 200. Give u(0).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 447421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -5, -0.3, 0.1 in ascending order.\nAnswer: -5, -0.3, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 4*m - 40, 3*m = -4*k - 91. Let f = k - -24. Suppose 3*q - 9 = 2*q. Solve 4*b = -5*z + q, z + 4*b - 7 = -f*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007603 rounded to 7 decimal places?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, 1, -2360?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 159169 and 7.09.\nAnswer: 159176.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -19. Suppose r*z - 2 + 7 = -3*p, 4*z - 2*p = 10. Let i(m) = -2*m - 1. What is i(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 3:01 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + 10 + i)*(-23 + 26*i + 23).\nAnswer: 26*i**2 + 260*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203725 by 1048.\nAnswer: -203725\/1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 4147\/(-208)) + -17.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6922442819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -215547496 less than 150?\nAnswer: 215547646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + sqrt(5) + sqrt(5))*-3 - (sqrt(5)*3*2 - sqrt(5))) + 4.\nAnswer: -11*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1703 + 1719. Calculate the remainder when 1597 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k + 29. Let f be r(12). Suppose -2*v + 3*v - 3 = 0. Which is the second biggest value? (a) v (b) f (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1082594778 or -1082594779?\nAnswer: -1082594778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 6*y - 9. What are the prime factors of x(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0 + 2 - 6 + 3 + (2 - 1 + 0)*(-3 + 1 + 0) - 5 + 4 + 0)*(10 - 4*p**2 - 10) to the form j*p + o + i*p**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -18, -2\/3, 4\/59?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 501.\nAnswer: 2\/501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -11. Let j = a - -21. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3aa18 (base 13) in base 2?\nAnswer: -11010101100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**5 - 7142*f**3 + 3144*f - 2?\nAnswer: 40*f**3 - 42852*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 t when three letters picked without replacement from {t: 2, r: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 181*z - 3751. Determine w(-24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 14) in base 13?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35595 and 4106985?\nAnswer: 86246685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 9:54 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 498432140*d + 12421729909248980.\nAnswer: 5*(d + 49843214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13888)\/(-336))\/(228\/513).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -41. Suppose 7380005 = 2*s - 5*d, -4*d + 2*d = j. Round s to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m - 6. Let l(n) be the third derivative of -n**4\/12 - n**3\/3 + 32*n**2 - 1. Suppose 2*a + 8 = -0*a. What is a*u(f) + 11*l(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, v: 3, h: 1, w: 1, j: 1, m: 4}. What is prob of picking 2 v, 1 w, and 1 h?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*u**2 + 719*u**2 - 1020*u**2 - 1415*u**2.\nAnswer: -2254*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26322 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utuuttututuuuu. Give prob of sequence uut.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -367745*g + 183861*g - 305*g**2 + 183884*g. Let n(q) be the first derivative of q**3\/3 - 1. Calculate s(n(t)).\nAnswer: -305*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14069\/436 < 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**2\/2 - 2332*v + 1621425\/2 = 0?\nAnswer: -4989, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1590 and 85335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 520*g**2 - 652*g**2 + 1056*g**2)*(2 + 1 + 0)*(-1 + 2 + 2).\nAnswer: -1044*g**2 - 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**3 - 5*b**3 + 0*b**3)*(-1 - 2 + 4) - 2*b**3 - 3*b**3 + 6*b**3 + (2*b**3 + b**3 - 4*b**3)*(3 + 0 - 5) to z + m*b**2 + y*b**3 + t*b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46156020613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 464080?\nAnswer: 46407a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.004?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*v - 24 = 0, 3*i - 13 + 16 = -5*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 226069891, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3497853 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 + 52948*j**2\/9 - 467244800*j\/9 + 152711680000.\nAnswer: -2*(j - 8874)*(j - 8800)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33 - -113210?\nAnswer: 113243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3 - (-1 - 1)). Let w(i) = 3*i - 12. Let k be w(7). Suppose t - 11 + k = j. Solve 0 = c + t*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.80202 + -0.19798. What is the biggest value in 1\/4, 0, 109, g?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.02 + 0.02. Let n be 6 + (2\/6)\/(10\/(-120)). Let m = 5 + -2. Which is the third biggest value? (a) m (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-20)*(22\/(-6) - -3).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m**(-1)*m)\/m)\/m))**(-16))**26\/(((m*(m*m**1\/m)\/m)\/((m**(-2\/7)\/m)\/m))\/(m\/(m*m\/(m*m*m**(2\/9)*m*m))*m\/m**(-5))) assuming m is positive.\nAnswer: m**(-78250\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(-2*sqrt(102)*6)\/(-2*sqrt(384)))**2.\nAnswer: 6*sqrt(17) + 409\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2940552*f**4 + 7095*f**2 - 2*f + 110 wrt f.\nAnswer: -70573248*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.123449ml to litres.\nAnswer: 0.007123449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 3*w**2 - 3*w. Let m be (-59 + 58)*(-1 - 0). Let s = -5 - -7. Suppose -s*g + 12 = 2*g. Let x(a) = -a**3 + a**2 + a. What is g*x(v) + m*i(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o - 114 + 114 = -374 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-10))\/((-2)\/(-8)). Let m be (1 - 10)*a\/6. Solve 5*l + 7 = -m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 354533 and 126.\nAnswer: 44671158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 274*i + 5999. Let v be u(-21). What is the highest common factor of 20 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Suppose 5*v + 10*u - 5*u - 70 = 0, -q*u = -15. Solve -16 - v = -5*a, -5 = 5*j + 4*a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**3 - 56*n**2 - 16*n + 435. Let y(p) = -10*p**3 - 112*p**2 - 28*p + 870. Let m(j) = 7*s(j) - 4*y(j). What is the derivative of m(x) wrt x?\nAnswer: 15*x**2 + 112*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120 (base 3) in base 12?\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9311, 18374, 27427, 36464, 45479, 54466?\n\"Answer: -u**3 + u**2 + 9067*u + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4166 to 2 decimal places.\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1120)\/(-182) - 6)\/(-1). What is the second biggest value in a, 4\/5, -0.2, -4, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117491, -234965, -352403, -469805, -587171, -704501?\nAnswer: -821795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1026817\/302005*(-7)\/(14\/(-60))\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -4. What is the highest common factor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393682081.\nAnswer: 13, 379, 79903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, a: 5, r: 3}. What is prob of sequence arar?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**2 + 7*a + 7. Let y be p(3). Solve 2*b = 4*b + y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 614 or 615?\nAnswer: 615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -45. Let n be (3\/1)\/(d + -3). Solve -2*c + 13 = n*f - c, -c + 17 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 342 - 659 = -5*o, -2*o = -3*s - 131. Solve 228 = -o*m + 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1826 = 111*q + 60*q + 1423 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 3:07 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -18*h**3 + h**2. Let f(x) = -x**3 + 2*x**2 + 5*x - 3. Let y be f(3). Let n(i) = -y + 6 - 2*i + 8. Let s be n(5). Give z(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/25568 and -55\/17672?\nAnswer: 1201696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**8\/28 - 2*k**7\/105 + k**6\/10 + k**5\/15 + 8*k**2. Determine z, given that s(z) = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39569041 and 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8292, 16583, 24876, 33171?\nAnswer: 41468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/9? (a) -0.06 (b) 2 (c) -2\/9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7497 is divided by 2497.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/116 and 23\/174.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 10 - 3)*(22*d**2 - 22*d**2 + 10*d**5).\nAnswer: -100*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52\/537 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*o + 61*o - 122*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 208640606 and 654.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (144\/60)\/(4\/30*-1). What is the common denominator of (2 + 39\/p)\/(2\/(-93)) and 85\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 12*m + 36. Let z be i(4). What is the greatest common divisor of z and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5 + 2\/((-6)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51392167 is divided by 10278432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -353\/630 + -1\/90. Which is the nearest to -2\/7? (a) -2\/5 (b) q (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) + 138901\/(-694155). Let s = 1606457\/158664 - y. What is the common denominator of s and 102\/(-8) + -1 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12003012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.4 + -4.4. Let p = -3 - -2. Which is the closest to p? (a) 0.4 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136579456 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u**2 + 50*u - 35. Let w be f(-9). Let i = 13381505\/116 - 115357. Let g = -3\/58 + i. Put w, 0, g in increasing order.\nAnswer: 0, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2798*l**2 - 10*l + 305. Is z(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**2 - 34*z + 19. What is the tens digit of j(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 75731226.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 36*i + 334. Determine z(20).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.968 * -0.5\nAnswer: 0.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2 = 8*k + 29, 2*k + 3*d = 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 43. What is the least common multiple of k and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-5)\/(15\/9). Find the third derivative of a**3 + a**n + a**3 + a**2 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 15, 3.\nAnswer: -4, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 4*2*(-4 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9 = -126*z + 129*z, -4*g + 18 = -3*z. Let c(i) be the second derivative of -1\/102*i**4 - 2\/51*i**g - 7*i + 0 - 1\/17*i**2. Factor c(m).\nAnswer: -2*(m + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 0 + 6 - 47) + (15 - (11 - -8))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -11*w - 33*w + 6965. Let b(c) = c**3 - 8*c**2 + 5*c + 3. Let m be b(5). Let l = w - m. What are the prime factors of l?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11 + 2*v**2 + 1 - v**2 + 6*v + 4*v. What is o(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -x + 6, -3*x = b - 28 + 23 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 693.12275094+0.3\nAnswer: 693.42275094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-65)\/(-15))\/(4\/(-12)). Let h(j) = -3*j**3 + j. Let q be h(-1). What is the third smallest value in 4, m, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 25 - 21 = 0, 6*g - 9218 = -2*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c**5 + 290*c**4 + 7690*c**3 + 18540*c**2 + 6605*c - 4550 = 0 for c.\nAnswer: -13, -2, -1, 1\/3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-6 - -1) + 12 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/9)*j)**45*(j**(-4\/3))**(-33) assuming j is positive.\nAnswer: j**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 + -132 + 42\/2 - -4?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/6, 2\/11, -3\/1979?\nAnswer: -3\/1979","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -13. Let f(j) = -2*j**3 - 7*j**2 - j - 16. Let g be f(-4). What is the second derivative of -g*h - 15 + 4*h**3 + k wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**25)**27*(r**(-33))**(1\/21))**(13\/8) assuming r is positive.\nAnswer: r**(30641\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + m**3 + m**3)*(m**2 - 5*m**2 + 2*m**2) + m**5 + m**5 + 0*m**5 + (-3*m**4 + 4*m - 4*m)*(1 - 1 - m) + 4*m**5 + 0*m**5 - 3*m**5.\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -21*w - 4. Suppose -4*m + 6 = 18. Let j be d(m). Does 9 divide (-2)\/(-6) + j\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5*l = 0, 6*z + 3*l + 2 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 - -133. Let z = 398 + v. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (2 + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 2*a + 14 = 0. What is j in -11*j + 13*j**2 - a - j**2 + j + 0*j**2 = 0?\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l. Let j(v) = -6*v. Let c(m) = 6*j(m) + 5*q(m). Let x(w) = -8*w**2. Calculate c(x(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/2669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y - 62 = 4*h, -5*h = 3*y + 45. What is the units digit of 18\/45 + (-6)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 + 19 - 11)*(-k + k - k + (-3 + k + 3)*(3 - 1 - 3)) to j + q*k and give q.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -930 - -1452. Suppose -3*p = -259 - 89. What is the highest common factor of p and k?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000154426215 rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = 98*q - 882 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 + -76. Which is the smallest value? (a) -1\/4 (b) 2 (c) -3\/2 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u. Let a(j) = -j + j + j + u. Let c(d) be the second derivative of d**4\/3 + 2*d. Determine c(a(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 278. Let n(w) = -105*w + 2*w**2 - 20*w + 125*w. What is n(z(d))?\nAnswer: 2*d**2 + 1112*d + 154568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29140955351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 n when four letters picked without replacement from ddsnsn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -74, -181, -312, -479, -694, -969?\n\"Answer: -2*m**3 - 93*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22790 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - -4*21\/(-12). Let c(y) = y**2 + 9*y + 2. Let b be c(q). Let v(f) = -2*f + 3. Let z be v(b). What is the highest common factor of z and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 9. Let g be z(-6). Let l(r) = r**3 + 2*r**2 - 2*r + 2. Let b be l(g). What is the remainder when 7*(-3)\/(-2 + b) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 67 = t, -8*m = -12*m + 4*t + 116. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*f = 25, -16 = -3*t + f - 1. Suppose 0 = -5*z - t*k - 5, -z + 2*z - 5*k = 5. Which is bigger: -1\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**2\/2 + 17*b + 4. Let r be s(-12). Suppose 4 = -r*k + 7*k. Solve 3*i - 17 = -f, -k*f + f - 15 = -5*i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 2*q = 20. Let h = 217\/5 + -43. What is the closest to h in q, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + 1)**2 - (sqrt(95)\/sqrt(5) + -4))*-5.\nAnswer: -4680 - 65*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -12 (b) -0.06 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*x = 327914 - 1242111. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5393, 5375, 5347, 5309, 5261, 5203, 5135?\nAnswer: 5057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 135 + -113. Suppose 840 - 312 = y*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 174, 190, 206, 222?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctt when three letters picked without replacement from ttttcctiicci.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:29 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1692.550038 - -1692.97. Let j = x + -0.42. What is j rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877720 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*q - 3*z, 2*q - 5*z + 15 = 0. Suppose q*g = 5, 5*g + 0*g = 3*t - 43. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 - 99*b**2 - 185*b + 16. Give d(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + j + 4. Let h be q(0). Suppose -m = -h*m + 210. 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: Let k be 0\/(15\/20*-4). Suppose k = -7*j + 260 + 90. Solve 2*f - 12*f = j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 + 47 - 188 + 707*d + 42 + 48 in the form g*d + o and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = f - 3*y, 5*y = -4*f - 67. Let j = f - -19. What is the least common multiple of 30\/8 - 2\/(-8) and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1595768*g**5*h + g**4*h**2 - 5*g**2*h**2 - 498945*h**2 wrt g?\nAnswer: 95746080*g**2*h + 24*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663834 to the power of 1\/2, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -604231*c + 1812694. Determine a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -22*c + 86. Let l(w) = 12*w - 44. What is -5*l(z) - 3*r(z)?\nAnswer: 6*z - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/7 - 160*v**3\/7 - 3182*v**2\/7 + 1440*v\/7 + 28800\/7 = 0. What is v?\nAnswer: -40, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*d**3 - 635*d**3 + 401*d - 195*d - 206*d.\nAnswer: -973*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2193664 and -3\/353584.\nAnswer: 107489536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c = 19*c + 84 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 67.5557 times 1.77\nAnswer: 119.573589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 not equal to -167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/647613 and -46\/935441.\nAnswer: 8418969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(245) - (-1 + sqrt(245)))**2 - sqrt(60)\/(sqrt(12)*-1))*2)*2.\nAnswer: -4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**5 + 0*s**5 + 56 + 5*s - 90*s**4 - 3*s - 87 + 64 wrt s?\nAnswer: -40*s**3 - 1080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18479 - 232442438?\nAnswer: -232442438.18479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 11*o - 3. Let m(t) = t. Calculate d(q) - 6*m(q).\nAnswer: 5*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from viyvyyvy. Give prob of picking 3 v and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -24*g - 244. Let j(w) = -2*w + 6. Let q be j(9). Let v be (-30)\/q + (-3)\/2. Which is smaller: g or v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 758 is divided by 251.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 5*j**2 - 5*j - 1. Let d be q(-4). Suppose d*m + 0*u - 3*u = 99, -2*u = 5*m - 144. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2115, 3713, 6377, 10107, 14903?\nAnswer: 20765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33032921 or 0?\nAnswer: -33032921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 b when four letters picked without replacement from {s: 9, b: 2, t: 8}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -440527671*g*i - 1030139793*i wrt g.\nAnswer: -440527671*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 182, 234, 122, -178, -690, -1438, -2446?\nAnswer: -3738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 137 = 5*s + 2*g, -2*g + 8 = 0. Sort s, -4, 3 in increasing order.\nAnswer: -4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 smaller than -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1465 by 6.\nAnswer: -1465\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**6\/60 - t**5\/10 + t**4\/4 - t**3\/3 + t**2\/4 - 6*t. Factor p(l).\nAnswer: (l - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*i - j - 5 = 0, -5*j = -3*i + 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + 2*sqrt(156)*-2)*3)\/(sqrt(36)\/(sqrt(3) - 2*sqrt(12))).\nAnswer: 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2854, 237 in increasing order.\nAnswer: -8, 237, 2854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63\/130 + 1\/65. Factor z*g + 0 + 1\/2*g**2.\nAnswer: g*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 10:17 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 13*m + 8. Let k be o(-13). Solve 3*g - k = y, -3*g = 5*y - g - 11 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**2\/2 - n + 3. Suppose 4*l - a = -6 + 31, -3*a = 5*l - 27. Calculate d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {w: 3, f: 1, o: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118 + 13. What are the prime factors of 306\/8*(-1960)\/z?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 9*k**2 + 8*k - 3. Let c be v(-8). Calculate the remainder when 34 is divided by c\/((-36)\/(-14) + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:49 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*l = 137*l + 120 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100611?\nAnswer: 3, 7, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 610 (base 15) to base 9\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6992 + 5)*(8 + -7). Suppose 0 = -8*h - 2029 + i. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8978273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1182*y**2 + 0 - 1228*y**2 + 0 as a*y + v*y**2 + s and give v.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/24569?\nAnswer: -2\/24569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 24*o**3 + 4*o - 4. Let t be x(1). Let g(u) = 140*u - 197. Is g(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 0*v + 1\/4*v**2 - 1\/16*v**4 - 5 + 1\/12*v**3. Let a(i) = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-12) + (-1)\/(-4). Suppose -2*l = -o - 21. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 44 = 2*x, 7 = -b + 5*x - 3. What is the tens digit of 958*5\/b*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*d - 5*d + 7*d + (4*d - 3*d + 0*d)*(-3 + 5 + 0) - 2 + 3*d + 2 in the form j + q*d and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30465.1mm in meters?\nAnswer: 30.4651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 8. What is the units digit of v(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/((-5)\/(-1) - 3). Find the third derivative of 3*c**6 + 5*c**2 + 5*c**6 - 3*c**a wrt c.\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 28 = 713. Suppose a = x + 6*a - 117, -x + q = -5*a. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/10 - 3185\/(-1862).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/2)\/q**24*q**(-4\/9)\/q**(-9) assuming q is positive.\nAnswer: q**(-251\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 9:04 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -721, -1618, -2873?\nAnswer: -4486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -12. Let l be (-1 + -1)*(t - (-15)\/6). Suppose -j + z + 119 = 0, l*j - 488 = -j - 2*z. Calculate the highest common factor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692 a factor of 891831425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -3 (b) 3 (c) 2287 (d) 0.3 (e) 2\/11 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = l - 16. Let n = -8 + l. Suppose g = -4*z + 3*g + 42, -5*z + 50 = -n*g. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/10)\/((-68)\/(-170)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 10:04 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 263.0446 - 263. Let p = 62.5554 + x. Let h = p + -63. Sort 3, h, -2, -0.3 in increasing order.\nAnswer: -2, h, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11438344 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1640 and -31\/1560.\nAnswer: 63960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -1. Let m = y - -3. Suppose m*i = -4*c + 40, 2*i - 55 = -i - 5*c. Solve j - i = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) - (sqrt(28) + sqrt(28)*-1)\/sqrt(4)) + sqrt(77)\/sqrt(396) - (sqrt(567) + sqrt(567)*1 + (sqrt(7) - 1*sqrt(7))*-3).\nAnswer: -95*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.8 and 2.728?\nAnswer: -32.1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574750976.\nAnswer: 2, 2245121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 609610*c + 1356661*c.\nAnswer: 1966271*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1374201, 2748400, 4122599?\n\"Answer: 1374199*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14771795?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72 - 72)\/(5 - 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/2 + u**3 - u**2\/2 = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -9. Let x(k) = -23*k - 3. Let s(r) = 45*r + 5. Let c(f) = -3*s(f) - 5*x(f). Let m be c(-1). Calculate the highest common factor of m and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/12)\/(413\/2124)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*sqrt(2) - sqrt(16)\/sqrt(72).\nAnswer: -31*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g. Let q(h) = -3*h. Let s(t) = -7*q(t) + 4*u(t). Let a(x) be the second derivative of 3*x + 0*x**2 + 0 - 1\/3*x**3. Determine a(s(j)).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000086 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from {x: 5, z: 4, o: 1}?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 6 - -3 - 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3264))\/(3*(sqrt(12) + sqrt(3) - sqrt(3))).\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.46782 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.172 - 7.172. Sort 4.22, a, 5 in increasing order.\nAnswer: a, 4.22, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**4 + 13*r**3 + 21*r**2 + 27*r + 10. Let w(f) = -14*f**4 - 38*f**3 - 64*f**2 - 81*f - 30. Let n(h) = -11*k(h) - 4*w(h). Solve n(o) = 0 for o.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 518476 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 628209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 75475, 75474, 75473, 75472?\n\"Answer: -d + 75476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.95 + -0.39?\nAnswer: 168.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b + 2. Let n be f(0). Suppose 46 = 3*k - n*k + 5*x, -k - x = -38. What is the highest common factor of 162 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 352*h - 57711. Calculate f(162).\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 871568743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/4*(-1 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 82 + q + q + q**3.\nAnswer: q**3 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13522608 and 819552.\nAnswer: 27045216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5*f**2 - 1 - f**3 - 34*f + 7*f + 26*f to v*f**3 + k*f + a + o*f**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.3 - 1.7. What is the nearest to 0 in -1, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-14))\/((-9)\/63). Suppose -i*s = 10 - 20. Suppose -3*m + 4*f = -s*m + 18, -2*m + 4 = -3*f. Calculate the least common multiple of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*l - 32 = 0, -m + 0*l = l - 14. Suppose -z - m = -5*z. Solve -z*s + 9 = -3*b, -4*b - 4*s - 24 = 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**2\/2 + 8*y + 4. List the prime factors of j(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 9*m**3 + 1038*m**2 - 19851*m - 6732 = 0.\nAnswer: -132, -1\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**2 - 4 - 5*d**2 - 6*d + 7*d. Let v be z(-3). Solve 0 = -3*k + 5*q - 11 - 6, 3*q - v = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -42*c - 302. Calculate u(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 t, and 1 u when three letters picked without replacement from tquqtutauuttutk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16597, -34009, -51421, -68833?\n\"Answer: -17412*z + 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18277*h**3 + 18276*h**3 - 36555*h**3 + 842.\nAnswer: -2*h**3 + 842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1313 + 4673 = -130*h + 73*h - 3879 for h.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 14487.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + 1*sqrt(5))**2 + 5*(sqrt(5) + (sqrt(720) + 1 - sqrt(5))).\nAnswer: 19 + 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -1 - (-37 + 8 - (71 + -109)) - 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1544 * 0.0482\nAnswer: 74.4208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1424132 - -4?\nAnswer: 1424141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 8*i**2 + 10*i - 9. Determine s(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*b - 392 + 88, 5*b = 3*q - 196. Let l = -102 + q. Find the common denominator of -67\/4 and 3 + (86\/l)\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 149096?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/17519523 and -19\/827694?\nAnswer: 105117138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(112) + -4 + 5*(sqrt(112) + sqrt(112) + 1))**2.\nAnswer: 88*sqrt(7) + 13553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1344))\/((sqrt(27) + sqrt(3))*4 - sqrt(3)).\nAnswer: -8*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/27)*f**(-28)*f assuming f is positive.\nAnswer: f**(-731\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70.367 + -75.37. Let q = l + 5. Let i = q + 0.002836. Round i to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 4*o + 16. Let d be c(6). Let u be (0 - 26\/(-2)) + d. Let n = 164 - -23. Calculate the highest common factor of n and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(80)*-1)\/sqrt(5))\/(sqrt(24)\/(sqrt(36)\/sqrt(3))))\/(-6*-1*sqrt(256) - 6*2*sqrt(256)).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*t + 314*t - 145*t = 84 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15600 and 7784.\nAnswer: 15178800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3213 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000119451 to six decimal places.\nAnswer: -0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12309 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 2*l**3\/27 - 95*l**2\/9 - 88*l - 602. Find a, given that s(a) = 0.\nAnswer: -4, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -320164559 - -320164475.9999814. Let h = l - -83. Round h to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30898.99 - -30899. Let t be 0 - (22\/18 + -1). Put t, z, 2 in descending order.\nAnswer: 2, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 9*w**2 - 40*w - 16. Let a be f(26). Suppose -5*n + a = 7*n. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758172285?\nAnswer: 3, 5, 13, 432007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 27200.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53361 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50424 and 8184?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/117*(171858\/(-1))\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -6921921?\nAnswer: 34609605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101637361 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8*y = -894. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131439*n + 131171*n = -19564 for n.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33042 and 288?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 16\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1905616 is divided by 1180.\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62.82 - 64. Let q = 1.08 + d. Let t = -0.2 + 0.3. Sort 1, t, q in descending order.\nAnswer: 1, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(0 - (-1 + 3)). Let a be (8 - 3) + 0 + l. Suppose a*m = -2*z - 3 - 3, 5*m - 3 = z. What is z rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24\/1307 + 7674\/9149. What is the nearest to -3 in -5, 1\/2, -2\/23, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*(2 + (-2 + sqrt(171) + sqrt(171) - sqrt(171))) - (0 + (sqrt(171) - (5 + sqrt(171)*-2)))))**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16433946 and 30289.\nAnswer: 4327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyyayaynv. What is prob of picking 1 y, 1 a, and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Let w be ((-24)\/5)\/(2\/(-30)). Suppose k + g*k = w. Calculate the remainder when 34 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2366 - -47339\/20. What is the common denominator of -101\/4 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24437486 is divided by 2343?\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:40 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -968, -741, -376, 121, 744, 1487?\nAnswer: 2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 778739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12823\/5 - -3898127\/1520. Find the common denominator of c and 17\/18.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k = 5*b - 1558, 0 = 4*k - 4*b - 1540. Suppose 2*a - 84 = c + 2, -5*a + 215 = 3*c. What is the highest common factor of a and k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198*0.3.\nAnswer: 59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*m - 24, 3 = 4*m - 3*q - 23. Suppose m*y = -3 - 5. Let k(w) = -12*w**2 + w + 1. What is k(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.71 * -22\nAnswer: 125.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -803878 to the nearest 1000.\nAnswer: -804000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c**2 - c. Let h(f) = 26*f. Calculate h(n(v)).\nAnswer: -286*v**2 - 26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29316118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8118881 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let x = 279 - 277.79. Let y = x - 0.21. What is the closest to -2\/7 in f, y, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*v**2 - 364*v**3 - 295*v**2 + 365*v**3 + 595*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1057 * 0.055\nAnswer: -58.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/9*(-2)\/((-24)\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-9))\/(60\/(-18)) - (-246)\/205) + -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**4 - 216*p**3 - 20790*p**2 - 378972*p = 0.\nAnswer: -33, 0, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 + 161. What is the remainder when u is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868737 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3435 + 3435.1399. Let b = k + -0.155. Let p = 0.02 + b. Round p to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18326 - -a42?\nAnswer: -178e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o - 1. Let u(z) = z + 1. Let p(b) = -11*b - 4. Let c(a) = p(a) + 5*u(a). Let d(q) = -3*c(q) - 2*s(q). Calculate d(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + f. Let l(t) = 34351571*t + 2 - 33*t**2 - 2 - 34351560*t. Give -22*g(o) + 2*l(o).\nAnswer: -44*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuj when four letters picked without replacement from uujujuj.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 8*p = 0, 15 = -3*k + 5*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 18. What is the smallest common multiple of j(9) and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -0.01, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780503227?\nAnswer: 29, 61396663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyyyyjjyjjjyjyyyjjjy. What is prob of sequence yyyy?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7950 and 180942.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 5, -5, 12 in descending order.\nAnswer: 35, 12, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13195 by -100294.\nAnswer: -13195\/100294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -31289.784 rounded to the nearest one hundred?\nAnswer: -31300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/74887 + 8911211\/12805677. Let i = 9\/19 - w. Let j = -32.4 + 32. Which is the nearest to -3? (a) i (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180109 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -59*z. Let t(m) = 1169*m + 1. Calculate g(t(k)).\nAnswer: -68971*k - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**3 - 11*t**2 - 2*t - 16. Let s be c(-7). Is ((-6)\/4)\/(1 - 1175\/s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5393051655 and 1.748.\nAnswer: 5393051656.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 524 - 264*f**3 + 517*f**3 - 250*f**3 in the form m + z*f + o*f**2 + t*f**3 and give m.\nAnswer: 524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.1, 0.07, 4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000076241 to seven dps.\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.7 + -0.7. What is the second smallest value in -2, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvggvhtvgyhvtpttg. What is prob of picking 1 g, 1 p, 1 t, and 1 v?\nAnswer: 8\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.4 - 0.9505429.\nAnswer: -39.3505429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*a + 2*t, -2*a - t - 2*t + 6 = 0. Let z be 1\/(a\/(-1371)) - -2. Let d = -4084\/9 - z. Find the common denominator of 29\/9 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 1:54 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + 72584 - 72584 - 23*i to the form t + b*i and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*c - 38*c = 2*p - 152, 111*c - 4115 = -4*p for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 16*t**2 + 8*t + 69. Let f be n(-11). Let o = -2268 - f. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -633\/20026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 459\/102*(-32)\/(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 - 58. Suppose y*m = 662 - 176. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(27)\/sqrt(3)) + (sqrt(162) + 1)**2.\nAnswer: 19*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14640861 to the nearest integer?\nAnswer: 3826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/5*l - 18\/5*l**3 + 4\/5*l**2 - 4\/5.\nAnswer: -2*(l - 1)*(l + 1)*(9*l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m**4 + 8*m**4 - 4*m**5 + (-m**2 - 3*m**2 + 5*m**2)*(m**3 + 4*m**3 - 3*m**3) + 0*m**5 + 3*m**5 - 2*m**5.\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627218.\nAnswer: 2, 41, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 110.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 - 4*t**3 - 2*t**3 - 9*t**2. Let g(k) be the second derivative of 0*k**2 + 0*k**3 + 23*k + 0 - 1\/6*k**4 - 1\/20*k**5. Give 2*a(z) - 9*g(z).\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 67616, 67692, 67782, 67886, 68004?\n\"Answer: 7*a**2 + 55*a + 67554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11\/((-231)\/(-18))*42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -17.6. Let i = -17.6 + p. Let z = -21.1 - i. Put 21, 1\/5, z, 0.5 in decreasing order.\nAnswer: 21, 0.5, 1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 5, -19 in ascending order.\nAnswer: -139, -19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 11*t**2 + 4*t - 78. What are the prime factors of q(5)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88 + -82. Suppose -d + a = -2*d. Is (-48)\/(-2)*(d + 7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68) + -3*sqrt(68) + sqrt(68) + 0 + sqrt(68))*6*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, x: 2}. What is prob of picking 3 i and 1 x?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*r - 145*r + 47*r + 51*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/36 and -41\/1752?\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**6\/8 - 21*o**5\/20 - 45*o**4\/16 - 9*o**3\/4 - 65. Factor n(l).\nAnswer: -3*l**2*(l + 1)*(l + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3 - 2466519*q**2 + 19732200*q - 39464432 = 0.\nAnswer: -2466527, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - b**2 + 17*b + 6. Calculate i(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 35. Let k be 25148\/(-11) + n + 0. Let a = -2290 - k. What is the common denominator of -33\/14 and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001308256048 to 7 dps.\nAnswer: -0.0001308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(2\/(-1 - 1)). Let t(n) = -2*n**3 - 3*n**2 - 3*n + 2. Let i be t(-2). Let l = i - 10. Solve -l*y = y - b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5052 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256130629?\nAnswer: 256130629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.5, -1\/1696, 13, -1, -3 in decreasing order.\nAnswer: 13, 0.5, 0.3, -1\/1696, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*a - 4. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(304) + -4)**2.\nAnswer: -56*sqrt(19) + 353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -6*r + 10. Suppose -v = v - r*u - 555, 5*v - 2*u - 1419 = 0. Let t = v - 70. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3321.76206 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/11)\/((i\/i**8)\/i))\/(i**1\/i**(7\/3)) assuming i is positive.\nAnswer: i**(317\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/9 - 1225*u**4\/9 + 120527*u**3\/9 + 121753*u**2\/9 = 0. Calculate u.\nAnswer: -1, 0, 109, 1117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 0)*13\/(-2). Let m = 20106 + -20106. Solve m = -11*d + w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -51, 0, -5.\nAnswer: -51, -5, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*c - 6, 0 = -5*j + 4*c + 892. Let z = 161 + 97. Let p = z - j. What are the prime factors of p?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -419, -1482, -2545, -3608, -4671, -5734?\n\"Answer: -1063*o + 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 28, 74, 134, 214, 320, 458?\n\"Answer: x**3 + x**2 + 36*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 11:50 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 5*k. Let p(c) = -c. Suppose 5*x + 5*f + 6 + 34 = 0, -10 = -x + 5*f. Calculate x*p(l) + w(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, -199, -714, -1505, -2572?\nAnswer: -3915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 11*t - 3. Let r(b) = -5*b**2 + 32*b + 8. Determine 8*h(w) + 3*r(w).\nAnswer: w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 42, 63, 86?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10318378115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + 1 + 5*sqrt(700) + 3)**2.\nAnswer: 500*sqrt(7) + 17525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16808 and 792?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -2. Let n = -31 + 17. Calculate the remainder when n\/(-8)*(p - 0) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(4500)).\nAnswer: -8 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005078018 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 6*h + 8. Let i = 22 - 48. Let n = h - i. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 10. Let h be (4 + -3)*(0 - 0). Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 695, 1555, 2757, 4301, 6187?\nAnswer: 8415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000031760175 rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 20*h**2 - 1. Calculate the remainder when 34 is divided by q(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-14 - 3 - -5)) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*g + 166111 - 164255 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p. Let k(x) = 3*x**2 - 15*x**2 + 291 - 291. What is z(k(u))?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 180268650*t**4 - 1542544869?\nAnswer: 721074600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/8)\/f**8 assuming f is positive.\nAnswer: f**(-67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 2. Let r(u) = -1. Let h be (-150)\/138 - (-64)\/736. What is h*v(b) - 2*r(b)?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1638\/3)\/13)\/((-114)\/(-152))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z**3 - 13*z**2 + 6*z + 9. Let m(f) = 2*f**3 - 13*f**2 + 6*f + 7. Let r(y) = -4*m(y) + 3*w(y). What are the prime factors of r(-13)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (1 - 6)) + -6 + 15 - 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + -13 + (18 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8611122 - 3101124 = 0. Let s = h - 54627943\/14. Let d = s - 2085. Calculate the common denominator of 101\/12 and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - 9*b**2 + 3 + 3 - 7 + 2*b**2 to n*b**2 + h*b + o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrqkrqrlllzklrlzz. Give prob of picking 2 l.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 477, 460, 433, 396?\n\"Answer: -5*o**2 - 2*o + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 11757477*o**2\/4 + 34559560472643*o\/4 + 34559572230121\/4.\nAnswer: (o - 5878739)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + x = 15, 4*x - 9 = -5*b + 16. Let d(f) = f**2 + 5*f - 4. Let o be d(-6). What is the second derivative of p**5 + 2*p - 2*p**b + o*p**5 wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110000000111110000010 (base 2) to base 13.\nAnswer: 9b8374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2496 * -4.2.\nAnswer: 1.04832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 1725?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4709 = -4*y + 5*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 2*p + 1718493 = -101777. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = 4*i - 9*q + 311, 3*i = -3*q + 54 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34.54 (b) -8.94 (c) 11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 10597 = -27861. Suppose 4*i - a - 688 = 0. List the prime factors of i.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 + 1154*q**2 - 92704*q\/5 + 371328\/5.\nAnswer: 2*(q - 8)**2*(q + 2901)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7687 = 402*p - 1657 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*58\/(-87)*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7533771 and 559454.\nAnswer: 1341011238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeeleeleeeeeeeeeee?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -91. Suppose m = h + 39. Suppose -4*d = -m - 47. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o - 2. Let j be s(2). Let x = 1 + j. What is the derivative of 4 - x*f**2 - 3 + 2 wrt f?\nAnswer: -10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.037 plus 0.31?\nAnswer: 0.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 9*k**2 - 13*k - 6. What is the remainder when 71 is divided by w(6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*w + 42*w + 62*w)*(4 - 2 + 0) + (0 + 5 - 4)*(0*w + 0*w - w) - 3*w - 2*w + 4*w - 3 - 2*w + 3 + w - 4*w + w to u + c*w and give c.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) - (-1434)\/15. What is the tens digit of (c\/40)\/((-6)\/(-100))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 6, 1\/10 in ascending order.\nAnswer: 1\/10, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.61 + 1.645. Let f = 0.035 - n. Let g = -11 + 6. What is the nearest to g in -2, 0.3, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101.4 + 103.05. Which is bigger: i or -2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862752.\nAnswer: 2, 58211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3 + 5 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 556 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -123, 0.2, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 4534*x - 375132.\nAnswer: -2*(x - 2181)*(x - 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**3 - 45*v**2 + 65*v - 45. Give f(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1762812 millennia in centuries?\nAnswer: 1.762812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 25*r + 44*r = 348. Solve -24*i - r = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/55 and (1\/(4 - 2))\/(-10 + 20).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 387, 418, 449, 480, 511, 542?\n\"Answer: 31*k + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 divided by 1.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2 - 14*b + 7. Let p be f(-7). Calculate the greatest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 6*o - 2*o = 0, 4*i + 2*o = 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 233 + -237.32. Let o = m - -0.32. What is the smallest value in 2, -2\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 11) to base 13.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 22*v + 16. What is the tens digit of g(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 16 = -o, 610*i - 614*i + 3*o = 28 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j**2. Let h(s) = -4*s**2 + 5. Let o(q) = -5 + 5 + 7 - 6*q**2 + 0. Let c(z) = -7*h(z) + 5*o(z). Give w(c(g)).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(3 - 17624\/5872). Let i be (-7)\/(-14)*0 - (1 + -1). Which is bigger: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7832*b - 8. Let c(h) = 2611*h + 2. What is 7*c(v) + 2*d(v)?\nAnswer: 2613*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -365, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 8. Let x be n(5). Find the third derivative of -511*d**2 + 0 + d**6 + 444*d**x + 5*d**4 + 0 wrt d.\nAnswer: 120*d**3 + 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -141773556 <= -141773556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 368 + -158. Factor -4*g + g**4 - 208*g**3 + 4 - 7*g**2 + b*g**3 + 4*g**2.\nAnswer: (g - 1)**2*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/3 + (-848)\/(-159))*4\/22. Let m(q) be the first derivative of 20 + 3\/2*q**2 - 7\/4*q**4 - l*q**3 + 0*q. Find the third derivative of m(t) wrt t.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**2 - 16*v**2 + 28*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 times 0.5?\nAnswer: -0.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -33*z + 22*z. Suppose z*n - 120301 = -33166. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18763990 is divided by 16474.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(140)\/sqrt(7) - (sqrt(5)*3 + 0).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000461433947 rounded to six dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(119)*2)\/((sqrt(112)\/sqrt(2))\/sqrt(8) - sqrt(1008)).\nAnswer: -24*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 12 (c) -1\/9 (d) -0.2 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 9 = b - 3, 4*b = -i - 18. Let k = b - 6. Let f be (3 - 1)\/((-4)\/k). Solve -w + 2*y + 3 = 0, f*y = 2*w - 3*w - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31848827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538.656 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/10 + 33\/(-45))*-6. Suppose -2*j + 2 - g = 0. Suppose 4*p - 12 = m, 0*m - 3*m = 2*p - 6. Solve p*l = c - 10, c - 4 = -j*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65141449 and 1017?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 0*t + 1 + 1\/3*t**3 + 0*t**2. Let h(u) = -76 - 77 - 70 + 2*u**2 + 223. Determine h(q(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from zzzhzh?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c*i**4 - 6*c*i**3*n - 6*c*i**2*n + 2*c*i*n**3 + 32*i**4*n**3 - 181*i*n**3 wrt i.\nAnswer: -72*c*i - 36*c*n + 768*i*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -66 times -2006\nAnswer: 132396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -14*h**5\/5 + 2*h + 6. Differentiate x(a) wrt a.\nAnswer: -56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppopppp. Give prob of picking 1 p and 1 o.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -17945\/25043 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120875 is divided by 828.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -149 + (28 - (-39 - -12)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -717753*x + 3272456 with respect to x.\nAnswer: -717753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-7)\/((-224)\/(-480)) - -54.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1347125*c**3 - 1100163*c**3 + 25504*c**3.\nAnswer: -2421784*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 23*a**3\/3 + a**2\/2 + 24. Let c be t(1). Suppose c = -38*x + 41*x. Solve 7*p = x*p - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tp when two letters picked without replacement from doztoppzoztdpd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/((-7)\/(28\/(-8))). Suppose 3*u + 2*h - 16 = 19, -55 = -d*u - h. What is the highest common factor of 30 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 19\/7, -3, 1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3242, -12989, -29248, -52031, -81350, -117217, -159644?\n\"Answer: -2*n**3 - 3244*n**2 - n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5006, -9951, -14934, -19973, -25086, -30291, -35606?\n\"Answer: -3*u**3 - u**2 - 4921*u - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 2*w**2 - 4*w. Let v(l) = -l**3 - l**2 + l + 1. Let a(t) = -s(t) - 2*v(t). Give a(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 179, 181, 185, 191, 199?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-7))\/7)\/((-5)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -10*v**2 - 4370*v - 203502. Determine u(-53).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 70237889 = 13283029. Let h be (3 - 1)\/((-2)\/(-3190972)). Let d = h - w. What is d rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 4*w + 98. Suppose -5*m = 0, -k + 3*m = -0*m - 8. Let a be g(k). Solve -8 + 10 = -a*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a + 35*a - 510 = 0. Let s = 139 + -220. Let t = s - a. Solve 0 = u + 2, -8*q + 3*u + t = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -817668*0.018.\nAnswer: -14718.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9696825 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 187472 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 147*u**3 - 5*u**2. Let v(w) = 8968*w**3 - 304*w**2. Give 304*t(h) - 5*v(h).\nAnswer: -152*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 285103027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 5:51 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.65 and 0.4?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 14, j: 4}?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8 = o. Let l(v) = -4*v**4 + 3*v**2 + 3*v. Let s(u) = 3*u**4 - 4*u**2 - 4*u + 1. Let r(m) = o*l(m) + 3*s(m). What is the derivative of r(c) wrt c?\nAnswer: -28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/30 - 23*h**4\/8 + 89*h**3\/6 - 5*h**2 - 3. Find the first derivative of x(c) wrt c.\nAnswer: 4*c - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10166 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 340\/7. Which is the third biggest value? (a) q (b) 10 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let m(n) = 7*n + 7. Suppose -2*f + 7 = 1. Let q(y) = f + 7*y - 4 + 7. Let o(a) = 4*m(a) - 5*q(a). What is 6*j(t) - o(t)?\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 9*v - 36. Suppose -4*o + 6*o = 18. What is the remainder when o is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.927 (b) -0.1 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187786 is divided by 231.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 44180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*d + 821 = 564 + 3497 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 99*k**2 + 112*k**2 - 95*k**2 - 17*k**2 - 99*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65070\/4366197)\/(10\/22).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.7 - -0.3. Which is the third smallest value? (a) -0.3 (b) k (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 750304 by 255.\nAnswer: 750304\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 20. Let d = -1 - -23. What is the lowest common multiple of d and 4\/6 - (-170)\/a?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20475 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/126*(-240)\/(-32).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -12, 818, -5, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 14. Let y be (-2)\/(-4)*1*4. Suppose -b = y*u - 5*u - 21, 34 = 4*b - 2*u. Solve m = -t*m + b for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m + v = -17, 0 = m + 4*v - 23. Suppose 0 = -m*b + 4*b + 9. What is the derivative of 2 + 4 + 5*h**3 - 2*h**b - 4*h**3 wrt h?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*14*(-30)\/140?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 0 + (2 - -11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64285888 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kaakazaaz. What is prob of picking 2 a?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 0.4 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126765 and 1597239.\nAnswer: 7986195","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 3048*((-1)\/4 - -1). Suppose 0 = 5*g - 2*g - l. Suppose 3*x = g - 7062. Round x to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cii when three letters picked without replacement from {c: 8, i: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 6*a**2 + 6*a + 7. Let d(h) = -h**3 - 5*h**2 + 6*h + 9. Calculate the remainder when b(6) is divided by d(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5742*v**4 - 3741 with respect to v.\nAnswer: -22968*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 40 = -2*p. Let f be ((-6)\/p)\/(10\/(-25)). Let y = -0.66 + 0.86. What is the smallest value in f, y, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3*z + 175008990*c**3 + 90881331*c*z wrt z?\nAnswer: 2*c**3 + 90881331*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082860 divided by 4?\nAnswer: -270715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4740331.\nAnswer: 17, 278843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2015\/50)\/13)\/(66\/(-165))*4.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 + (5 - (4 - 3))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10340*i - 6353*i + 15547*i + 2462*i.\nAnswer: 21996*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26351*b**3 - 2130*b**2 + b + 153262876 wrt b?\nAnswer: 79053*b**2 - 4260*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**12*c*c**17*(c*c**2)**(-9) assuming c is positive.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 4*f - 4. Let c(m) = -2*m**2 + 7*m - 7. Let r(g) = -3*c(g) + 5*d(g). Give r(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150\/37 at most 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2703 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 0.6. Let x = 261 + -260.863. Let n = x + 0.163. Which is the second biggest value? (a) n (b) k (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 12 - 4, 4*s - 28 = 3*r. Let j = s + 4. What is the least common multiple of 42\/4 - (-35)\/(-70) and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/327 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 8*s - 5. Let g = 6928 + -6925. What is h(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t - 1. Let q(m) = m + 10. Let a(d) = -4*d - 29. Let w(b) = -2*a(b) - 7*q(b). Let o be w(-4). Is j(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(114) + 1*sqrt(114))*4 - sqrt(114)) + sqrt(114))\/(-5*-1*sqrt(6))*6)**2.\nAnswer: 43776\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*h**3 - 2*h - 8 wrt h.\nAnswer: 210*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 553, -5 in decreasing order.\nAnswer: 553, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -o + 7. Suppose -1 = -4*h - b, -3*b - 15 = -5*h - o. Suppose 2*t - 5*m - 75 = 0, t + h = -4*m + 6. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -313 + 479. Suppose 736 = 4*g - 4*b, 2*g = g - 5*b + v. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 6*v**2 - v - 7. Let x(k) = -k**2 + 8*k - 13. Let h be x(7). Let z be n(h). Suppose -u = 3 - 6. Put z, u, 7 in ascending order.\nAnswer: z, u, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -8*y**3 - 3*y**2 + 3. Let d(v) = -16*v**3 - 5*v**2 + 5. Let m = 242 + -237. Determine m*k(x) - 3*d(x).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h + 36. Let r be b(-5). Calculate the greatest common divisor of 357 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 848 divide 14723824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.89522 and -9.\nAnswer: 35.05698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/21)\/(31\/(4774\/132)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 1. Let g(q) = 65*q**2 + 7*q. Let o(y) = g(y) + 5*j(y). Let i be o(-2). What is the greatest common factor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -62, -44, -8, 52, 142, 268?\nAnswer: 436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37582 is divided by 144?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*m**4 - 3*m**4 - 2*m**4 + (52*m**2 - 81*m**2 - 231*m**2)*(-m + m + 3*m**2) + 5*m**3 - 5*m**3 + m**4.\nAnswer: -778*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1100011100001101?\nAnswer: -1100011100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53337 (base 9) to base 5.\nAnswer: 2112034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Suppose -5*x + w*n + 29 = 0, -6*x - 2*n + 16 = -2*x. Suppose -3 = -4*d + x*d. What is the second smallest value in -2\/17, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 460734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 339 - 325. Suppose 0 = -y*x + 11*x + 90. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1)\/sqrt(9) - (sqrt(33)\/sqrt(3) + 1).\nAnswer: -2*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3732 = -4305*i + 4616*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1135, 16, 27 in descending order.\nAnswer: 1135, 27, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 3:44 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c - 8. Let t be a(-5). Let o = 0 + 2. Find the third derivative of -2*n**t - o*n**2 + 2*n**4 + 8*n**2 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/2 - 20*y**4 + 38*y**3 + y**2 - 77*y\/2 + 19.\nAnswer: (y - 38)*(y - 1)**3*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 4*x**2 + 4*x + 1. Let t be c(3). Suppose 4*s - 1 = -t*n + 15, -31 = -4*n - s. Let v = 15 - n. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 33\/(-33)*(3 + -3). Which is bigger: q or 2\/9231?\nAnswer: 2\/9231","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - n - 9, -2*x - 8*n = -3*n + 1. Let s be (-1)\/(-2)*((x - -2) + 22). Solve -s*m = -8*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.92 + 0.08. Let k = 0.706 + 1.294. Which is the closest to 2\/3? (a) i (b) k (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Suppose t*y = 2*y + 6. Let g be 21\/y*24\/14. Solve r = g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 - 6 = 0. Suppose -i + b = -5. Suppose -i = 2*v - 45. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4\/(-80)*-2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565966104 - 282983052 + 16*l - 282983054.\nAnswer: 16*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27759 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1739 + -1729. Which is the third biggest value? (a) q (b) -5.4 (c) 2\/15 (d) 2 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113450773.6 to the nearest one hundred thousand.\nAnswer: 113500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101911814*g**3*z - 3*g**2 - 5*g*z - g + 518117*z wrt g?\nAnswer: -611470884*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2020, -3986, -5844, -7540, -9020?\n\"Answer: 9*n**3 - 2029*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6826858 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8136428500 rounded to the nearest 1000000?\nAnswer: -8136000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 131*y**4 - y - 133*y**4 + 3*y**2 + 3 - 1 + y**3 - 3*y**4 - y**3 + (1 - 2 + 3)*(2*y**4 - 3*y**4 + 3*y**4).\nAnswer: -y**4 + 3*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 3503.08.\nAnswer: 3503.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 1:50 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 2*f**4\/3 - 5*f**3\/6 + 14*f**2 - 24. Calculate c(5).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - m + m)*(-7 + 4 + 0)*(9 + 0 + 0)*(308 + 139*m - 308) in the form l + n*m**2 + x*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -271\/615 - -5\/123. Which is the third biggest value? (a) s (b) -96 (c) 1 (d) -3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -1\/4 (c) 0.04911 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g. Let p(c) = 8*c**2 - 93 - 27*c**2 + 10*c**2 + 10*c**2. Determine p(w(o)).\nAnswer: 9*o**2 - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1648 - -8244\/5. Let l(f) be the first derivative of 3\/20*f**4 + 3\/2*f**2 - y*f**3 - 6\/5*f - 4. Factor l(i).\nAnswer: 3*(i - 2)*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 8 + 5 - 21 + 0*r to x + i*r and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 - 272*f - 276*f + 567*f.\nAnswer: 19*f + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 * 60.18\nAnswer: -17.4522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 83093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/2 of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4018716796.\nAnswer: 2, 59, 263, 64747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/120 - x**5\/30 + x**4\/12 + 293*x**3\/3 + 22*x**2 - x. What are the prime factors of i(0)?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.97 in -2, 1\/10, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15519 + -15517. What is the third biggest value in w, 1, -7, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2*x - 30, -112 = 4*s - 36 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = y + 201, -8*y + 3*y - 3*g - 987 = 0. Let j = -135 - y. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-475)\/(-152) + 2\/(-16). Let v(q) be the first derivative of -1\/2*q**2 + 1\/3*q**u + 0*q - 2. Factor v(h).\nAnswer: h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 4*m + 24 = 0, -17*d = -23*d + 9*d - 4*m + 17 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**2 - 12*t - 1. Let z(c) = -c**2 - c + 1. Let d(b) = -u(b) + 6*z(b). What is d(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 + 51 = 8*y. Solve y = 3*n + n + 2*l, 3*n - 11 = l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(3388) - sqrt(3388))*-3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - q. Let x(b) = b**3 - 7*b**2 + 5*b + 7. Let z be x(6). Let s be i(z). Sort s, -5, 4 in descending order.\nAnswer: 4, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17833*k + 37339*k - 17993*k to the form h*k + y and give h.\nAnswer: 1513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 1, y: 3}. Give prob of picking 2 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1, -1, 13 in descending order.\nAnswer: 13, 5, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 242 + -122. Suppose -3*i + 27*i = o. Solve 0 = 4*l + 5*d - 16, 0*d = -3*l - i*d + 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from tmmmmtmttmmmmmtmmmmm?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -1, -2, 1, 500 in decreasing order.\nAnswer: 500, 3, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48858, -97736, -146630, -195546, -244490?\nAnswer: -293468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 6970?\nAnswer: 6970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -2. What is the highest common divisor of 72 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2*k + 130. Let b = 30 - k. Suppose -3*t - b*j = -76, -4*t + 165 = t - j. Calculate the highest common divisor of 160 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50240 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3152205 take away 2765.7?\nAnswer: -3154970.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 59521*o + 833438. What is u(-14)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-4)*4\/(-8)*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*j + 2 + 6 = 0, 2*w + 27 = -5*j. Let u be (2\/(-4))\/(w\/(-10)). Let o(c) be the third derivative of -c**4\/24 - c**3\/3 + 3*c**2. Give o(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**4\/5 + 18186*h**3\/5 + 565498*h**2\/5 + 1738614*h\/5 - 46112696\/5 = 0.\nAnswer: -19, 7, 9124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-260)\/3185*(-175)\/10.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/4*(-96)\/8640.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - c - 4. Let m be n(0). Let q be 3\/(-33) + (-30)\/(-330). Sort m, 4, q in descending order.\nAnswer: 4, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2564628 millennia to months.\nAnswer: 3077.5536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g**3 - 5*g**3 + 3*g**3)*(-12041*g + 6814 + 12038*g + 1884 - 2322) to the form x*g**4 + a*g**3 + y*g**2 + t + h*g and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0\/s)**(1\/2))**48*((s\/(s\/(s\/(s*s*s\/(s\/s**0)*s))))**(-2\/51))**31 assuming s is positive.\nAnswer: s**(-1100\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16139909, 16139881, 16139815, 16139693, 16139497, 16139209?\nAnswer: 16138811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 0. Let y(u) = u**2 + 10*u + 21. Let k be y(-7). Put k, 4, d in decreasing order.\nAnswer: 4, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*c - 54 = -73*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -21458298 divided by -289977\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4519 - 2496. What are the prime factors of q?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Let z = 57 + -56. Which is greater: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**6\/120 - 4*a**5\/15 - 13*a**4\/24 + 3*a**3\/2 + 394*a**2. Determine s(-15).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 179, 0.1, -927839?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4*b = 8, 2*w + b + 9 + 0 = 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + 0*w**3 - w**3 + 9*w**3 - 9*w**3 + 4*w**3 - 4 + 4 - 2*w**3 + (0*w + 0*w + 3*w**2)*(1 + w - 1) to c + z*w + s*w**3 + p*w**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 425*x\/2 - 1732.\nAnswer: (x - 433)*(x + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(600)\/(sqrt(588)*2)*5.\nAnswer: 25*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i - 0*i. Let z(l) = -3*l**i - l**2 + 1 + 0*l**2 - 4*l**3. Suppose -7*g = -11*g + 3*u - 11, 19 = 4*g + 3*u. Give z(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 - 45. Let s be 40\/(-15)*(-2)\/b. Factor -2\/9*r**3 + s - 2\/3*r + 2\/3*r**2.\nAnswer: -2*(r - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 + -98.6. Let h = u + 51.6. Let m = 2.92 - 3. Which is the closest to m? (a) h (b) 1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329 divided by -1235.\nAnswer: -329\/1235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 244 + 97?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 8:33 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 p when three letters picked without replacement from acppipaqpiccapcpqp?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 665 divide 395849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*t - 606 - 210. Solve 119 = t*f + 103 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**5 + 3*b**5 - b**5 + (b**4 - 2*b**4 - b**4)*(4*b - b - 5*b) + (-2*b + 4 - 4)*(2*b**4 - 6*b**4 - 3*b**4).\nAnswer: 26*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:48 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -18*z**3 - 659*z**2\/2 - 3*z - 213. What is the first derivative of l(q) wrt q?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -15*n - 2. Suppose 150 = -5*l + t, 2*l - 4*t - 125 = 7*l. Let w = -14 - l. What is the remainder when z(-3) is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2. Let k(q) = 12758969*q**2. Determine h(k(o)).\nAnswer: 162791289942961*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (1 - (1 + 21 + -2))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2774 and 755915.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-378)\/8 - 1)\/((-562)\/2248) is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 7 - 5. Suppose -2*h + 3*v + 693 = 0, -k*v - 345 = -3*h + 2*h. What is the greatest common divisor of 39 and h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 194 - 164. What is the nearest to l in -0.2, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 + 1.84. Let b = 29.92 + -30. Let g = b + 0.04. Sort g, u, -4 in decreasing order.\nAnswer: u, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11613892, 11613889, 11613886, 11613883?\nAnswer: 11613880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 3 = 4*j - 1, 5*m + 1633 = 1608 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/(-7 - -15 - 12).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -520d5 - 2?\nAnswer: -520d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11390137 in -2, -0.3, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*c - 400 = -116*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or -2770?\nAnswer: -2770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1584)*4 + sqrt(1584) + sqrt(99) + sqrt(99)*-3*5.\nAnswer: 162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25756 and 752?\nAnswer: 103024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*a - 7. Let o(f) = 4*f**3 - 2*f**2 - 3*f + 1. Let s be o(-1). Let v be s + (-5)\/20 + 3. What is the second biggest value in v, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8085, 8909, 10283, 12213, 14705?\n\"Answer: o**3 + 269*o**2 + 10*o + 7805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -5*a - 15, 0 = -3*a + 3*d + 17 + 4. Solve c = -a - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.4, 1\/2, 83, -1 in ascending order.\nAnswer: -1, 0.4, 1\/2, 9, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 6104*g + 344671. Give v(-57).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241311167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)*p)**46 assuming p is positive.\nAnswer: p**(322\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 50483?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6412.5704 + -84.7?\nAnswer: -6497.2704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let i(m) = -3*m - 22. Let q be i(-8). Let z = q + n. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68837 = 714*i + 2909*i for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/348 and 143\/480.\nAnswer: 13920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*b**2 + 6*b*m - 31*m - 1 wrt b?\nAnswer: -24*b + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-32)\/10))\/(74693\/1792632)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 - c**2 - 2*c**2 - 2 + 7 + 3*c. What are the prime factors of g(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*m + 367 = -465. Suppose -5*r = 3*a - 14, 3 = 4*a - r - 8. Sort m, a, -15 in decreasing order.\nAnswer: a, m, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15097358 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 248237151 to the power of 1\/2, to the nearest integer?\nAnswer: 15756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and -486453771290.\nAnswer: -486453771301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5 (c) 2\/3 (d) -0.15 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y**5\/2 - 105*y**4 + 851*y**3\/2 - 661*y**2 + 378*y - 44 = 0. Calculate y.\nAnswer: 2\/13, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -84*f. Let l(u) = -2*u**2. Calculate p(l(n)).\nAnswer: 168*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 3*y + 3680 = 0. Suppose 283 = 3*n + c, 0 = 2*n + 2*n - c - y. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5138 (b) 0.3 (c) 4822\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55571549 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-32))\/(6\/(-4)). Suppose -5*z - 20 = -3*h, h + 4*h + z + 4 = 0. Which is the closest to h? (a) -2\/3 (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z - 3. Let p be b(2). Suppose -p*i + a = -2, -5*a = -5*i + 1 - 11. Solve i*o + 3 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 5*o + 1. Let z = -22 - -18. Let r(l) = -l**3 - l**2 - 5*l. Let p(y) = z*r(y) + 3*b(y). Give p(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - ((-32 + 32 - -26) + 6 + 9)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4245 and 263.\nAnswer: 1116435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5, 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47 - (-7 + 20 + -10) and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5849 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3 = 3*g - 3*l, -3*l = -3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3 (c) -31421\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113523 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2120 divide 190342080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 10*s. Let f be a(-10). Suppose f*z + 5*z - 5*n = 180, -3*z = -2*n - 107. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000101001 (base 2) to base 8\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111110101000001 + -100?\nAnswer: 11111110100111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-18) - (10366\/639 + -18).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3371423, -6742844, -10114265?\nAnswer: -13485686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (88 + -77)*((-4 - 0) + 5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.450598 + -0.4462. What is p rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 381 in increasing order.\nAnswer: 1, 4, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 26*q**6 - q**5\/5 + q**4 + 146*q**3 + 1077. What is the third derivative of f(h) wrt h?\nAnswer: 9360*h**2 - 24*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3 = -4*p, 3*f - 8*f = -f + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6151, -30617, -71409, -128539, -202019, -291861, -398077, -520679?\nAnswer: -659679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-27)*-17 - (-24)\/(-108)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2\/9 (b) 0 (c) -135583\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584348?\nAnswer: 2, 347, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r. What is t(24)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qkkftkqfqkkkkkktqqkq.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 = -v + w, -718 = -2*v - 3*w + 265. Calculate the smallest common multiple of 56 and v.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -570839 * 0.5\nAnswer: -285419.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(60)\/(2*sqrt(12)))**2 + sqrt(60)\/(sqrt(972) + 2*sqrt(972)).\nAnswer: -5\/2 + sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2\/9 (c) 1.1 (d) 0 (e) -3.68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -1271*w**8\/112 - 2929*w**4\/24 + 2*w**2 - 4*w + 437. Find the second derivative of c(o) wrt o.\nAnswer: -76260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27854600 to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03146 rounded to 3 decimal places?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 305.9 - 338. Let g = l + 32. Put 4\/7, g, 2\/5 in increasing order.\nAnswer: g, 2\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (2 - 0) - -10. Let l = f + -5. Let x = 8703 - 8694. Solve l*c - 3 = x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9862878 hours to seconds.\nAnswer: 3550.63608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/8 and 61\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 142*g + 994. Let n be i(-7). Solve -2*y = -n*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 353445?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -20962 - 23678. Suppose 0 = 4*j - 0*j - s. What is j rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1010965 and 61360.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**4 - 2*s**3 - 80*s + 5633 wrt s?\nAnswer: -4*s**3 - 6*s**2 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c**3 - 452*c**3 + 17 - 151*c**3 - 16.\nAnswer: -620*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20ac (base 14) to base 7\nAnswer: 22305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -302 + 267 + (37 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-7))\/(1890\/2646). Let f = 12 - 7. Let g = 7 - f. What is the third biggest value in g, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 - 733*x + 524. Give q(-184).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -21. Let k be (-3 + 2)\/((-3)\/x). Let t be ((-18)\/1)\/((-2)\/k). What is the greatest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -284\/23 or -11?\nAnswer: -284\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2815244*a**4*w - 2819717*w with respect to a.\nAnswer: 11260976*a**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 4*m**7\/105 - m**5\/4 - 3*m**2. Find the third derivative of g(v) wrt v.\nAnswer: 192*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -5*w + 4*s, -2*w - 4*s + 30 = -26. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229287645 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 754055 is divided by 7880?\nAnswer: 5455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (2 - (6 + -12)) + -6 + 2 + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 40585*y - 81174*y + 6*y**2 + 40585*y - 4 + 1 - y**3. Determine r(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -3, -4, 15, -98, 2 in decreasing order.\nAnswer: 30, 15, 2, -3, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 5:54 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxnx when four letters picked without replacement from {n: 5, x: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 23*m**3 + m**2 - m + 1. Let f be p(1). Let c be ((-4)\/(-5))\/(2\/5). Suppose 0 = -c*o + 4*q - 0 + f, -q - 76 = -4*o. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 90\/(-70)*-5 - (-4)\/7. Let g be -1 + 2 + 1 - -1. Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + z = 8, 2*p - 3*z = -2 - 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 84639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75 - 26?\nAnswer: -25.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2334 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/14*(-5)\/(-5)*(-5)\/1\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*g + 11551 + 10489 = 611*g. Solve 2*f + 42*d - 12 = g*d, 0 = f + 3*d - 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 53 - 79. Suppose 5*p = 2*p + m. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -31*v - 185. Let r be j(-6). What is the smallest common multiple of 8 and 0 + 7 + -2 - r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + w + 12. Let v be k(0). Suppose -3*j + v = 3*x, j - 9 = 3*x - 3*j. Let s be ((-1)\/4)\/(x\/(-4)). Solve 4*g + 5 = s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/26 in -4, -9, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -1. Let p(y) = -y. Let h(v) = 6*d(v) + p(v). Let s be h(-9). Suppose s*l - 7*l = -652. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(10\/42) + (-17)\/85. Let g = -14 - -15. Solve c*j - 7 - g = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.47 - -13.8. Let c = 0.6 + s. Let v = -0.93 + c. Is 1\/3 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 11909748.\nAnswer: -2\/992479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 327782495 to the power of 1\/2, to the nearest integer?\nAnswer: 18105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*g = 3*o - 50, 3*o - 190 = 5*g. Let p = 34 + -16. Calculate the remainder when o is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*b = -35, 2 = b + 5. Suppose 0 = -28*h + 32*h - 2*d - 4, -1 = h - d. What is the remainder when -20*(10\/(-4))\/j is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+-0.6705903423625\nAnswer: -0.9705903423625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11940 divided by -6.\nAnswer: 1990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 2*b = 3*a - 10, 5*a = b + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5066 = -7*d. Suppose 7*v - d = 18537. Round v to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.96543588 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-76*((-12)\/9)\/(-2))\/((-49)\/(294\/4))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*r + 835 = -0*p, -4*p = -2*r - 670. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79011 rounded to the nearest one hundred?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -498 - -291. Let x be 4\/8 - v\/6. Let c = x - 4. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-15) + 2748\/20. Calculate the greatest common factor of 92 and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 + 135 + (0 - -3) + -19 - (-7 + -1)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-5) - 6\/(-15). Let b(j) = -j + 12. Let v be (-3)\/(-5) - 84\/(-10). Let k be b(v). What is the biggest value in 4, p, k?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 10. Let m(c) = c - 10. Let j(k) = -3*m(k) - 2*x(k). Determine j(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5049747694?\nAnswer: 2, 17, 521, 285071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 6:55 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2, 5\/3, 0.11, -3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Let y = -6 + a. Let q = -0.143 - -0.043. Sort y, q, -0.4 in descending order.\nAnswer: q, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 2}. What is prob of sequence ss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119691932 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1861 - 1805. What is the greatest common divisor of 266 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - p - 21864. Let q = -9 + 9. Let f be y(q). Let a = f + 11264. What is a rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/9)\/(14\/21). Which is the third smallest value? (a) q (b) 0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -803, -1554, -2303, -3050, -3795, -4538?\nAnswer: -5279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 13*q = 10*q + 9, 4 = 3*r - 2*q. Solve -4*x = -3*f + 23, -63*f + 62*f = -x - r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -18*t**3 - 22*t**2 - 2*t. Let m(q) = -18*q**3 - 20*q**2 - 2*q. Let o(s) = 4*c(s) - 5*m(s). Factor o(v).\nAnswer: 2*v*(3*v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 + 785*h**3 - 790*h**2.\nAnswer: 5*h**2*(h - 1)*(h + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/16 - 55\/368. Let n = d - -29\/69. Factor n*g**2 + 2\/3*g + 1\/3.\nAnswer: (g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzcyffzycccccfc. Give prob of picking 1 f, 1 y, and 1 z.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -3*b - 3*f - 0*f, -5*b = -3*f - 240. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 less than -3436925706187?\nAnswer: -3436925706262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -545*t**5 + 11220*t**4.\nAnswer: -5*t**4*(109*t - 2244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*r + 152 - 30 + 119*r + 133*r.\nAnswer: -r + 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 3*r - 15, 2*h = 4*r + 28. Let d be -9*(4\/h - 0). Suppose -3*m + 24 = -t + 27, -4*m = -5*t - 7. What is the closest to d in 7, 2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-222)\/555)\/((-9)\/(-30)*(-1)\/3). Let r(w) = 6*w**2 + 2*w + 1. Let f(b) = -13*b**2 - 5*b - 3. What is x*f(s) + 9*r(s)?\nAnswer: 2*s**2 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and -974.\nAnswer: -17532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5914 is divided by 5602.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**3 + 2*h**2 - h - 1. Let u be s(1). Let f(x) = 13*x - 23*x - u*x. Let p(a) = -7*a. Determine p(f(c)).\nAnswer: 98*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y + 45 = 0. Suppose -17*g = -y*g - 6. Let s be 2 + (-44)\/(2*-1). What is the greatest common divisor of g and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2134?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25 - -679?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 6*q**2 + 5*q + 1. Let f(o) = 7*o**2 + 6*o + 1. Let d(r) = 2*r - 14. Let p be d(10). Give p*a(v) - 5*f(v).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5522 + 5522. Let j(r) be the second derivative of u + 0*r**3 + 2\/5*r**5 - 2\/5*r**6 + 0*r**4 - 18*r + 2\/21*r**7 + 0*r**2. Factor j(y).\nAnswer: 4*y**3*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 2704?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1) - (-6 - 0). Suppose 0 = 3*s - 0*s - n. Suppose s*k = 9 - 3. Solve 3 = -2*r - k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 19*l**3 + 2*l**2 + 5*l - 17. What is the units digit of t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o**3 - 2*o**2 - 2*o - 1. Let v = -4 - -15. Let d = 10 - v. Let g be x(d). Solve 4*s = -4*q, 2*s + g = q + s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-12) + 40\/3. Solve c = 3*c + 2*f - s, 3*c - 5*f + 19 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8333991*f**5 - 3*f**4*w - f**3*w + f**2 + 4*f - 2998201*w wrt f?\nAnswer: -500039460*f**2 - 72*f*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wymkwwwmwwymmjymm. Give prob of picking 2 k and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 0 - 1 + 3. Let v(u) = u + 11. Let w be (4\/(-3))\/2*-3. Let f = -14 + 3. Calculate f*s(m) + w*v(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 9.9 (c) 0.5 (d) -0.13 (e) 5 (f) -94\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5, -n + 10*r + 19 = 6*r. Let a(o) = 15*o**3 + o**2 + o + 1. What is a(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1656152 is divided by 2968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5124 (base 6) to base 5.\nAnswer: -14012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 1:04 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u - 100. Let v be (-95)\/u - (-1)\/(-4). Let f = 3.09 - 0.09. Put f, -2, v in ascending order.\nAnswer: v, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 105 = 3*f, -4*c + 2740 = -5*f + 2835 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2. Let l(n) = 0*n + 3*n + n**2 - 3*n. Let z(f) = -2*f**2. Suppose -3*i = 2*i - 5. Let h(x) = i*z(x) + 3*l(x). Calculate v(h(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378067 is divided by 3050?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 779942163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 751190 and 380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -262, -274, -300, -346, -418, -522, -664?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0111299402 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 3.7. Let z = -1 + q. Let m = -4.9 - z. Are 4 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 95757 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 10*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 2745 = -333. Let c = -264 - q. Solve c = 2*l, 2*o + 3*l - 6 = -0*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-2 + (-3 - 11)). Solve -3*u + d = f, 2*f = 7*f + 2*u - 23 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29505 divided by -3?\nAnswer: 9835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x - 8. Let r = -44 + x. Let z be (1680\/r)\/((-2)\/6). Calculate the greatest common divisor of z and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Suppose f = 3*l - m, -2*l = 3*m - 0*m - 11. Let d = 10 + l. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 25 = -2*r, 5*r + 8*d = 10*d + 15. Solve 12*k = -r*p + 15*k + 5, k = 4*p + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153993950.\nAnswer: 2, 5, 11, 41, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/5)\/l**4*((((l*l**1*l*l)\/l)\/l)\/l)**(2\/31)*(((l*l\/l**2)\/l)**(-12))**(7\/5) assuming l is positive.\nAnswer: l**(405\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 11) to base 5\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/8)\/i**(-17))\/(i**8*i)**(-14) assuming i is positive.\nAnswer: i**(1145\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -130, -500, -1094, -1906, -2930, -4160, -5590?\n\"Answer: z**3 - 118*z**2 - 23*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -83747.4629 to the nearest integer.\nAnswer: -83747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1\/253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + z = -10, 3*z + z - 5 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.31 + 19.31145953. What is d rounded to five dps?\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1686*b + 1683*b + 12090 = 0. What is the highest common factor of b and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 1057. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 3*r**2 - 3*r - 2. Let j be t(-4). Let o be 2 + -3 - 0 - j. Let y(g) = -g**2 + 8*g - 3*g - o*g. Let b(h) = 7*h. Calculate b(y(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/75 + 4576\/1980?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -12 - 23 - (-33 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7*h**2 - 64\/7 - 1\/7*h**3 - 48\/7*h.\nAnswer: -(h + 4)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123274 - -188111. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away -70?\nAnswer: 70.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 9:39 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o + 65 - o**3 + 24*o**2 + 24*o**2 - 33*o**2 + 0*o**3. What is the remainder when w(14) is divided by 59?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425)*1*3)**2 - (1 + sqrt(425) + 0 - sqrt(425)) - (((sqrt(425) - 4*sqrt(425))**2*-2 - sqrt(425)) + sqrt(425) + sqrt(425) + 4).\nAnswer: -5*sqrt(17) + 11470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12a0 - -1?\nAnswer: -129b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51475 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -15*k - 544. Let r be q(-51). Let z(l) = 25*l**3 + 2*l - 1. Let s be z(1). Calculate the highest common divisor of r and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493 + 431 = 21*c. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*k**2 - 2*k**2 - 256*k + 256*k)*(-176 + 27 - 84).\nAnswer: 5359*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 15*x = -1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:25 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 64742828 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: Convert 22607 (base 8) to base 5.\nAnswer: 301412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 18*n**2 + 6*n - 5. Let p(z) = -52*z**2 - 17*z + 15. Let a(b) = 17*g(b) + 6*p(b). Let r(x) = x**2 - 1. Determine a(o) + 5*r(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 7*n + 16*n - 19*n + 2. Give v(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3659 - -3658.8. What is the closest to g in 0, -0.3, -35, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42785 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -20187 at most -19773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -473 - -473. What are the prime factors of 0\/1 - (y - 870)?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/4 + 29721*k**3\/4 + 445557*k**2\/4 - 980281*k\/4 + 252501\/2 = 0 for k.\nAnswer: -29706, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -14. Factor 34*a**5 + 32*a**5 + u*a**3 + 16*a**3 - 12*a**2 - 15*a**4 - 63*a**5.\nAnswer: 3*a**2*(a - 2)**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6*w + 117 = 0. Is 2*2 - w\/(52\/(-464)) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 9 = -45*z + 42*z, -3*r - 21 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/9)\/((-1)\/3). Let b(s) = -10*s**3 + s - 1. Let q be b(1). Let l = o - q. What is the greatest common factor of 9 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360296 and 22736.\nAnswer: 35309008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 176*d - 17. List the prime factors of t(-44).\nAnswer: 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Round -1076845510 to the nearest 100000.\nAnswer: -1076800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105.22 + -2.22. Let q = a + -218. Let z = q - -106.9. What is z rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 569\/180 + 4\/45. Let i = 39388\/13 + -3032. Calculate the common denominator of i and q.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3 + 1\/6*b**2 + 0*b.\nAnswer: (b - 4)*(b + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 871702213*d**3*n**2 + 5*d**2*n + 3*d*n**2 + 3345*n wrt d?\nAnswer: 5230213278*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 7*g**2 - 7*g - 3. Let f be i(-6). Let j(b) = -b**3 + 6*b**2 - 6*b + 6. Let y be j(5). Let k = f + y. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 2*z - 2. Let l be (-16)\/10 + (-4)\/10. Let a(f) = f**2 - f - 1. Determine l*a(c) + h(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = u + 17, -5*u - 18 + 2 = -2*j. Let o = -0.2 - -0.1. Which is the nearest to 1? (a) u (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1212461022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -113140 not equal to -112780?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11240 + -11237. Let m = 7 + -8. What is the closest to m in 5, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(2 + -4) + 102\/15?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22673 - 242?\nAnswer: -23025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10, v: 4, d: 1, o: 4}. What is prob of picking 2 q, 1 d, and 1 v?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 9*o**2 - 24*o + 19. Let r(j) = 5*j**2 - 2*j + 1. Calculate -d(n) + 2*r(n).\nAnswer: -n**3 + n**2 + 20*n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 38. Suppose 5*g - p - m = 2, g - p - 3 = 0. Suppose 6*i - 9*i + 30 = g. What is the remainder when 24 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqr when three letters picked without replacement from qqnrq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175033.\nAnswer: 449, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-112)\/48*((-69)\/(-21) + -3). Put -1\/219, -5, x in decreasing order.\nAnswer: x, -1\/219, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 10*w - 180 = 0. Suppose -42*m + w*m = -39. Let v be m\/(-5) + 1\/((-20)\/12). Solve h - 5 + 3 = p, v = -h + 5*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/240 and 37\/1026?\nAnswer: 41040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14667290 is divided by 41787?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 - (-165)\/45. Suppose 0 = 5*z + 3*x + 2*x - 75, 2*x = i*z - 55. Find the third derivative of 84*r - 84*r - 24*r**2 - z*r**5 wrt r.\nAnswer: -1020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228870103 to the power of 1\/4, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5 - 86*o**4 + 6639*o**3 - 100516*o**2 + 93964*o = 0. Calculate o.\nAnswer: -139, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(22\/5))\/(x\/x**(2\/7)))\/(x**(4\/11)*x**18) assuming x is positive.\nAnswer: x**(-8654\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 7*c**2 - 3*c + 8. Let q be k(-7). Suppose q*j = 17*j + 228. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45729514.\nAnswer: 2, 41, 83, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 10\/3, 54.2, 20.9 in descending order.\nAnswer: 54.2, 20.9, 10\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 5*h + 4. Let p be g(-5). Suppose -4*x - 4 = 0, -4*x - 2 = -p*a + 2. Which is bigger: -0.02 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538785 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2570050135 to the power of 1\/3, to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 329 and 470.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 3481 and 10.\nAnswer: 3491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003441085977 to 6 dps.\nAnswer: 0.003441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb463b (base 13) in base 8?\nAnswer: -20641666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (39 + (5 - 32))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3114 by -1038.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8027134 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: Let p(w) = -5*w**5 + 2*w**4 - 2*w**3 + 2*w**2 + 7*w - 4. Let z(o) = o**5 - o**2 - o + 1. Let q(h) = p(h) + 6*z(h). Solve q(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -10. What is the derivative of 8*l**2 - 1034 + i*l**2 + 1092 + 2*l**4 wrt l?\nAnswer: 8*l**3 + 38*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 85 (b) 5 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d + 68. Let w be r(-8). Suppose -w*t + 4*v = 4, -4 + 14 = -t - 2*v. Let m(n) = n**3 + 6*n**2 + 10*n + 14. What is m(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*f - 1015 + 30*f + 1018)*(4*f**2 + 5 - 5).\nAnswer: 428*f**3 + 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1090*v + 113. What are the prime factors of g(-4)?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-135) + (-2)\/(-18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594182 is divided by 148545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -37*a**3 - 4*a - 6. Let x(y) = y**3 + y + 1. Let k be (3 + (-26)\/10)*(-160)\/64. Calculate k*m(f) - 4*x(f).\nAnswer: 33*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 + -6 + (-74)\/19. What is the nearest to 2\/5 in b, 3, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9. Let d be 0\/(6 + (-9 - -2)). What is the nearest to f in d, -0.04, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.4 - 12.40049. What is x rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -682304 divided by 10\nAnswer: -341152\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*r**2 + 41*r**2 + 37*r**2 + 14*r**2 + 27*r**2 - 101*r**2.\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + -1.75. Let p = 25.67 - 25.65. Which is the third biggest value? (a) -4 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooootuoov. What is prob of picking 1 t and 1 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*g**3\/11 + 426*g**2 - 3510*g\/11 = 0. Calculate g.\nAnswer: 0, 3\/4, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -45. Let i(k) = 5*k - 18. Let f be i(d). Let c(q) = q**3 - 12*q**2 + 3. Let w be c(f). Solve -4*m + 2*p + 11 = -15, 0 = -3*m - w*p + 6 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 132 - 90. Suppose 19 = 2*k + 2*v - 5*v, 5*k = 2*v + a. Find the first derivative of -16 - 10 + 3 + k*c**3 + 0 wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6420205, -6420195, -6420179, -6420157, -6420129, -6420095, -6420055?\nAnswer: -6420009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4012\/1359 + 24\/151. Let a = 1\/322 + -29639\/4830. Find the common denominator of q and a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181067 is divided by 36212.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 1 t when three letters picked without replacement from {y: 2, i: 4, j: 3, r: 2, t: 2, z: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*t = -2. Suppose -h = -4*w - t*h + 88, -3*w + 4*h = -47. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 250876280*j**4 - 337400985*j**2.\nAnswer: 6021030720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -170*j + 1209*j**3 + 44 - 1232*j**3 - 46 + 6*j**2 wrt j?\nAnswer: -138*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680032 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6350 - 5049418\nAnswer: -5043068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/448 and 9\/154880.\nAnswer: 1084160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 25*t + 149. Determine q(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47 + -2302?\nAnswer: -2266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1117887, -1 in descending order.\nAnswer: 2, -1, -1117887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2\/4 + 2258*r + 9033\/4 = 0.\nAnswer: -1, 9033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1850 and 380.\nAnswer: 70300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 30, -4, -13, 0, 11 in decreasing order.\nAnswer: 30, 11, 5, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1031 (base 6) to base 5\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8207, 11255, 16329, 23423, 32531, 43647?\nAnswer: 56765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((54\/4)\/((-1415)\/40 + 35))\/2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 248806*q\/5 + 29856.\nAnswer: 2*(q - 24880)*(5*q - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*n**3 + 9*n - 122 wrt n?\nAnswer: 15*n**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -102e + 854?\nAnswer: -6ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 92\/199395 and 181\/210.\nAnswer: 398790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.14 + 20.35. Let i = -1 - -0.7. Which is the closest to -1\/3? (a) 0.2 (b) i (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -557 + 354. Let q = -215.7 - w. Let k = q - -12.70000023. What is k rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 3)*(2 - 3 + 0)*(5*j - 22 + 22)*(6 + 0 - 4) as n + i*j and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, y: 1, b: 2, w: 7}. Give prob of picking 3 w.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t**3 - 6*t**2 + 9*t - 9. Let r(p) = 4*p**3 - 3*p**2 + 4*p - 4. Let n(o) = 2*c(o) - 5*r(o). What is n(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 441 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 110963*v - 110963*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 15. Let l be y(9). What are the prime factors of (-267)\/l*(-2 - -4)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 2*a - 141. Give g(0).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/5)*n*n*n*n**4*(n**(-1\/4)\/n)**(15\/7)*(n**(-8\/5)*n**(-3\/5))**5 assuming n is positive.\nAnswer: n**(-963\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3337 and 1551?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 - 701 = 30*o + 7*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6409084 litres in millilitres?\nAnswer: 640.9084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 + 37 = 12*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 2628.\nAnswer: 21024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3259494 by 378.\nAnswer: 8623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 165, 323, 481, 639, 797?\n\"Answer: 158*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5500)\/(-450))\/(-55)*54.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - -65. What is the remainder when 458 is divided by t?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b = 520. Let a be 104\/b*5\/(-4)*-2. Find i, given that -2\/13*i**a + 6\/13*i + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81253\/1484 + 1\/371. Let i = p + 55. Which is smaller: -3 or i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 11:33 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1594539 and 91\/1771710.\nAnswer: 15945390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, -5, 48, 6 in ascending order.\nAnswer: -5, -1, 1, 5, 6, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-6)\/(-15))\/(37\/(-185)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3103 and 2268079.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*d**2 + 5 - 21*d**2 - 19*d**2 - 77*d**2 - 3 to f + l*d**2 + x*d and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0754 - 0.3246. What is the second smallest value in 0, -57.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 = -1. Suppose u = -g*w + 6, 1 + 5 = 3*w. Suppose 8 + 40 = u*t. Is t a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 395*i**5 + 24*i - 3?\nAnswer: 7900*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 623821 and -1.5.\nAnswer: -935731.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.24 (b) 0.4 (c) 2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x**2 + 13*x**2 + 49*x**2)*((4*x - x - x)*(x + 2*x - 2*x) + 3*x + 2*x**2 - 3*x).\nAnswer: 292*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-2)\/88*-11)\/(20\/(-76))\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5932, 47515, 160390, 380203, 742600, 1283227, 2037730, 3041755?\n\"Answer: 5941*j**3 - 4*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78901, -78896, -78887, -78874, -78857?\nAnswer: -78836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1670 - -1694. Calculate the least common multiple of x and 504.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8318.533 centuries?\nAnswer: 831853.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17120 = -2*s - 3*i, s = -5*i + 4982 + 3564. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1832)\/(-32) + (-1)\/4. What is i rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -723 + 1044. Suppose 4*l + 7 = -5*v + 543, -r = -3*v - 3*l. Factor v*o**3 - 12*o**2 - 134*o**4 - 109*o**4 + 3*o**2 - 3*o**2.\nAnswer: -3*o**2*(9*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 7:11 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -0.0327.\nAnswer: 0.001962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 14*w**2 - 162*w + 22. Is c(53) a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10183, 8705, 6243, 2797, -1633?\nAnswer: -7047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 1 - -12 - 0) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*t + 3 - 48*t + 104*t - 79*t**2 + 32*t**2 - 1 as y + c*t**2 + q*t and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*a - 21*a + 4*a**2 + (2*a - 2 + 2)*(4*a + 2*a - 4*a))*(3*a**2 - 4*a**2 - a**2).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425850, -854449, -1283048, -1711647, -2140246?\nAnswer: -2568845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3 + 17205*g**2 - 5*g**3 - 17205*g**2 - 3*g. Let r = -5 - -8. Let q(v) = 6*v**3 + 4*v - 4. What is r*q(a) + 4*y(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 233?\nAnswer: -6\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 6*d - 19. Solve d*w - 19 = -1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435049728 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 2:23 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9752346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - 6*(sqrt(66) - (sqrt(66) - (-1*sqrt(66) - sqrt(66)))))\/((-3*sqrt(6) - sqrt(6))*1).\nAnswer: -13*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.91 + 75.09. Sort -0.1, l, 2.\nAnswer: -0.1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.326 and 0.5?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-8))\/(1\/(-6) + (-133)\/(-399))*-76?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41038 < 287274\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -60, 4, 6, 1\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*m - 33 + 13, 4*m = 5*c - 78. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/9, -5, -2\/3 in increasing order.\nAnswer: -5, -2\/3, -1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/18 and -76.423 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 103 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1168*i + 1168*i - 8 - 1673*i**2 + 1675*i**2.\nAnswer: 2*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 4\/3, 0.1, -4 in ascending order.\nAnswer: -4, 0.07, 0.1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.66682591 and -5.\nAnswer: 13.33412955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1866.7 * 0.02\nAnswer: -37.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111*q**5 + 5955*q**3 + 203668*q**2 - 2*q + 4.\nAnswer: 6660*q**2 + 35730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5430231 (base 6) to base 14\nAnswer: -6db2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 55 - 27 = 9*o - 40 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -5*c + 47. Let a(d) = d**3 - 5*d**2 + d + 5. Suppose -2 = -z - 5*j + 18, -5*z + 37 = 4*j. What is the remainder when c is divided by a(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - g + 1. Let d(l) = -7*l**3 + 4*l**2 - 7*l + 4. Let k(w) = -d(w) + 4*n(w). Find the second derivative of k(o) wrt o.\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**7\/21420 + z**6\/6120 - z**4\/2 + 9*z**2. Let b(x) be the second derivative of y(x). What is j in b(j) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + r - 4*r + 44*r**2.\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 145 + 162 = 0. Calculate the remainder when 93 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -707.06927 + -0.37073. Round o to the nearest ten.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16445731 divided by 4\nAnswer: 16445731\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -5\/3*t**3 - 5\/2*t**2 - 7 + 10*t. Determine v, given that s(v) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/9, 161, 0?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 6907 + 6955 = 3*u, -2*u = 3*a - 42 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1174*v - 131 wrt v?\nAnswer: 1174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1503899391.\nAnswer: 3, 541, 926617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/458 and 41\/12245408.\nAnswer: 2804198432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b**2 + 7*b + 5. Let y(r) = -2*r**2 + 12*r + 23. Let g(p) = -p - 2. Let x(d) = -22*g(d) - 2*y(d). Determine 2*o(s) + 7*x(s).\nAnswer: 2*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 3 = c, c - 45*v - 3 = -43*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 120\/(-300)*25\/2 + (29012 - 0). Calculate the highest common divisor of r and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*180\/216.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from mllmdlmmd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ass when three letters picked without replacement from {q: 2, s: 5, l: 1, r: 1, i: 2, a: 2}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m = -3*w - 40*m - 26, 0 = -3*w - 2*m + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/3*(-60)\/70. Let y be (24\/(-15) + 2)*5. Solve y = x*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.72 - -0.02. Let q = 294.7 - 292. Let o = d + q. What is the smallest value in o, 1, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22339 - 15612. Let q = 1886 - 1884. Suppose -p = -q*n - 2421. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - u = 11, 2*d + 2*u - 11 = -u. Suppose 4*j - 5*j = 2*k - 315, -d*j + 1320 = -4*k. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 6. Let o = w + -16. Let q = o + 10.00000051. What is q rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 458 and 7396471.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 180623455, 361246909, 541870363, 722493817?\n\"Answer: 180623454*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*b + 1)*(0 + 10*b + 0)*(0 - 5 + 4)*(-8*b - 9 + 9) to the form r*b**2 + o*b + g + n*b**3 and give n.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -8. Let d be -3 - 6\/((-12)\/(-4)). Sort j, 1, d in descending order.\nAnswer: 1, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 356*f**2 + 9680*f - 81328.\nAnswer: 4*(f - 46)*(f - 26)*(f - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 6*f**2 + 311*f - 588. Let s(d) = -d**3 + 12*d**2 - d. Let y(l) = m(l) - 4*s(l). Factor y(c).\nAnswer: 3*(c - 7)**2*(c - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187567302.\nAnswer: 2, 3, 13, 29, 101, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 363556 less than -5?\nAnswer: -363561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2158, -4311, -6464, -8617, -10770, -12923?\n\"Answer: -2153*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/312 (b) 1\/5 (c) -270 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36334*-0.4812.\nAnswer: 17483.9208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4 = -3*f - 3*k, 0 = 3*f - 5*k + 14. Let a(c) = c**3 + 34*c**2 + 42*c + 297. Let x be a(-33). Put -5, f, x, 3 in ascending order.\nAnswer: -5, f, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1151463976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 192*z**5 + 352*z**4 - 52*z**3 - 336*z**2 - 140*z - 16 = 0.\nAnswer: -4\/3, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.37 and -3.18.\nAnswer: -3.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3444.57 + 0.9?\nAnswer: -3443.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**4\/4 - 85*q**3\/2 + 697*q**2\/4 + 85*q\/2 - 174 = 0.\nAnswer: -174, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -289 + -9?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/8 + -15*1\/(-5) + -8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 286900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.3 - -16.3. Let d = -219 - -220. What is the closest to -58 in s, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 12*v**2 - 22*v + 20. Let f be h(10). Is 38\/255 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = 2*f - 5325. Let q = -357 + f. Put q, 12, 3 in decreasing order.\nAnswer: 12, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 457, 888, 1319?\n\"Answer: 431*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7\/6, -1, -5294.\nAnswer: -5294, -2, -7\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14129977, 14129975, 14129973, 14129971, 14129969, 14129967?\nAnswer: 14129965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**2 - 9*z - 6604. Let u = 6 - 3. Give q(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 3*k**2\/2 - 7*k - 3. Let u be x(7). Solve -2*l - 2*f = 3*f + u, -4*l + 4*f = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002598 rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o = -47*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1244100 - 24?\nAnswer: -1244124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012122120002 (base 3) in base 9?\nAnswer: -1178502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/2930 and -93\/8?\nAnswer: 11720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1363, 5019, 8675, 12331, 15987, 19643?\n\"Answer: 3656*y - 2293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -282.0747.\nAnswer: -564.1494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -21821 and -19937 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -408*c**2. Let y(u) = -3*u. What is y(n(d))?\nAnswer: 1224*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 take away -1.2?\nAnswer: -35.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 8:41 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6\/77 (b) -4 (c) 0.04 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 59, 147, 227, 293, 339, 359?\n\"Answer: -r**3 + 2*r**2 + 89*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = b - 30. Let m = 14 + b. What is the smallest common multiple of 1 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 24. Let r = -2 + -19. Which is smaller: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -131*p + 2878. Calculate i(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/3))\/m)**(1\/16)*m**7*m\/(m**(-1\/4)\/m*m) assuming m is positive.\nAnswer: m**(395\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 3, 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 25 + -85 - -14\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 477519?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -19*i + 4*i**2 - 2*i**3 - 3\/5*i**5 - 8\/3*i**4 + 1. Let s(l) = 0. What is l?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 6:39 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12187.\nAnswer: 7, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 23 = -3*x - 6*g, -5*x = 4*g - 49. Suppose -12 - x = -q. Solve q = 3*h - 8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*d = 3, -4*w = -8*w + d. Let v be w - (-38)\/(-72) - (-12)\/(-48). What is the smallest value in 5, v, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14, -35, -68, -119, -194, -299, -440?\n\"Answer: -s**3 - 14*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 6*b**2 + 11*b - 11. Determine l(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((3 - 0) + -2). Let s be ((2 - 2)\/z)\/2. Suppose s*f + 40 = 4*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i - 1845*i**5 + 175*i**2 + 200*i**5 + 123*i**5 wrt i?\nAnswer: -91320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7562549 is divided by 467?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.60052914 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -12.\nAnswer: -12, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 divided by -24.\nAnswer: 41\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 5) + (-32)\/(-4). Let x be m + (-2720)\/(-14) + -3. Let c = -195 + x. Sort 0.3, c, -1\/8 in decreasing order.\nAnswer: 0.3, c, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(68) - (sqrt(68) + -2*(sqrt(68) + 2))**2) - (sqrt(68) + ((sqrt(68)*-1)**2 - sqrt(68))*-6 - (-2 + 0 + sqrt(68))).\nAnswer: -26*sqrt(17) + 327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 + -333?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 8 = -4*f, 2*f + 7 = -4*v + 3. Suppose v = x - 17 - 23. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/2 (b) 0.5 (c) -1.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - 252)*-10*4*(7 - 2).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 5*n**3 - 10 + 3*n**3.\nAnswer: -4*n**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31871, 31865, 31847, 31811, 31751, 31661?\n\"Answer: -v**3 + v + 31871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23852185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -230.2 - -232.2. Let d be (-26)\/28 + 1\/2. Let g = -2.8 + -0.2. Which is the closest to y? (a) g (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113551 - 219579. What is s rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-7310)\/(-7616))\/((-3)\/8)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(180) - ((0 + sqrt(20))*2 + (sqrt(80) + 1)**2).\nAnswer: -86 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -4\/3 (c) -0.4 (d) -1\/9 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**6\/240 - 7*f**5\/120 + f**4\/12 - f. Let y(r) be the third derivative of m(r). Give y(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*d**2 - 78*d**2 + 33*d**2 - 129*d**2 - 243*d**2 to the form s*d**2 + a*d + h and give s.\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -17.512. Let i = 0.028 - w. What is i rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785259.\nAnswer: 3, 87251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 277167053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4*(-2)\/1. Suppose 4*c = -0 + 12. Sort c, f, 0.\nAnswer: f, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -20100012021112?\nAnswer: -20100012021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*v - 12*v + 429. Suppose -63*t + 74*t - 66 = 0. Solve -7*x = t*x - v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1044, 4190, 9434, 16776, 26216, 37754, 51390?\nAnswer: 67124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, h: 8, r: 1, b: 9}. What is prob of picking 2 b?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21122\/21 - -1006. Suppose -2 = -n - 1. Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l = 15. Let k be 1620\/390 + (4\/(-26) - 0). Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.2 - 15. Let v = g + 4.8. Let d = 1.2 + -0.2. What is the nearest to 0.1 in -2, v, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 3*x + 41. Let b(u) = -7*u. Suppose -5*o + q = 2, 4*o + 3*q - 10 = -2*q. Let a be b(o). What are the prime factors of v(a)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/13)*r\/(r**(-2\/7)*r))\/((r*(r*r**(-1\/3)*r*r)\/r*r*r)\/((r**6*r)\/r)) assuming r is positive.\nAnswer: r**(421\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -282 + 276. Let k(m) = -6*m + 7. Let c(h) = 5*h - 6. Let y(s) = v*k(s) - 7*c(s). Let f(r) = 18*r. Give y(f(t)).\nAnswer: 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 3*l**2 + 2*l + 12. Let s be o(-3). Solve 7*p - s = 5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1896495807?\nAnswer: 3, 632165269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**9\/168 + 23*m**5\/20 + m**2 + 2. Find the third derivative of i(n) wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4946 is divided by 836.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24728 = 24504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33355*w - 8340*w - 8339*w - 8357*w - 8346*w - 2.\nAnswer: -27*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 7, -8, -34970 in ascending order.\nAnswer: -34970, -8, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -150337.271 and 85.\nAnswer: -150252.271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 5*f + 9. Let y be o(-5). Suppose -4*j + y*j - 20 = 0. Solve 0*m + j = -4*m, -3*d - 2*m + 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14358 is divided by 843.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**5\/20 + v**4\/8 + 31*v**2\/2 + 4. Let x(k) be the second derivative of p(k). Give x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003836 rounded to 5 dps?\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2 - 2*h - 8. Let a be o(-4). Let n = a + 46. Suppose -26 = u - 5*b - 18, 62 = -4*u + 5*b. Is u <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12*f + 6. Suppose 3*g + 5 = -16. Let l(k) = -11*k - 5. Calculate g*l(x) - 6*m(x).\nAnswer: 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00146343537 rounded to 5 decimal places?\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 7*p**2 + 2*p - 5. Let r be i(7). Find the common denominator of -25\/8 and (r\/(-8))\/((-28)\/16) + 0.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12e716 - -4a?\nAnswer: 12e760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 7. Suppose 4*y + 3*m = -p, 5*y + 0*m + 13 = 3*m. Let c = 28 + y. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5 - 23. Suppose 2*r = -4*i + 54, 3*i + h*r = 3*r + 33. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 7 - l - 1 - 4*l. Let j be q(-2). Find the third derivative of -c**2 + 6*c**5 + j*c**5 + 3*c**5 wrt c.\nAnswer: 540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -69*s**2 + 9*s + 11. Let a(r) = -23*r**2 + 3*r + 4. Let o(y) = 11*a(y) - 4*d(y). Find the second derivative of o(t) wrt t.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**7\/840 + w**5\/40 + w**4\/12 - w**3\/3 + w. Let x(u) be the second derivative of t(u). Suppose -7*y - 8 = -3*y. Give x(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2405*h**3*p - 2*h**2*p - 85*h**2 + 3*p wrt h?\nAnswer: -14430*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from luuuuuuluuu. Give prob of sequence ulul.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 10. Suppose 3*k - 7*n + 3*n = 65, k - 3*n = j. What is the remainder when k is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, a: 13}. Give prob of picking 2 d.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 2*k + 1. Let m be p(4). Let g(z) = 10 - 7*z**2 + 8*z**2 + 0*z - 68 - 2*z. Let o be g(m). Are 0.5 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 8:13 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 21, 0, 7 in ascending order.\nAnswer: -1, 0, 1, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 9960700 to the nearest 100000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10040, 7899, 5758?\n\"Answer: -2141*m + 12181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vawvvwvewdvb. Give prob of sequence wwe.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 3. Suppose 0 = -0*y - 3*y. Let z(w) = y*w - w + 3*w + 7 - 4*w. Give 9*n(d) + 4*z(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 888*r - 25568.\nAnswer: -4*(r + 34)*(r + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcmmcccmmccccccc. What is prob of sequence mcm?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -359*w**2 + 357*w**2 + 6*w + 0*w**3 - 6 + 137*w - 15*w + w**3 to s*w**3 + p + q*w + t*w**2 and give q.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*c + 75, z - 4*z + 87 = -c. Let m = z + -28. Find the third derivative of -12*j**2 - 8*j**3 - 4*j**m + 23*j**2 wrt j.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -4 (b) 3.1 (c) 2\/1495\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -52, -77, -108, -145, -188, -237?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5632 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -11*p**5\/20 + p**2\/2 + 17*p. Find the first derivative of f(y) wrt y.\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v + 97*v = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 362 - 362. Let m be -2*((-12)\/(-15))\/(-4). Find x, given that o*x**2 + 0*x + 2\/5*x**3 - m*x**4 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 4. Let p be (6\/21)\/((-10)\/(-210)). Let b be 1\/(-3)*((-54)\/p - 6). Let h(f) = 2*f**2 - 8*f - 6. Let m be h(b). Determine y(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*6\/60)\/(1\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 5*f**2 + 2*f + 20. What is the remainder when k(-10) is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 5:29 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:14 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3828 != 2011.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/224 and -107\/234.\nAnswer: 26208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 20*p - 47. Let f be z(20). Let a = f + 89. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(250)*-2 - (sqrt(250) - ((1*sqrt(250) - sqrt(250))*-5 + sqrt(250))))\/(1*(2*sqrt(392) + sqrt(8))\/sqrt(4)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {g: 4, b: 3, p: 2, a: 4, d: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88948522 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + w + 0 + 4 = 0, m + 3*w - 16 = 0. Suppose -i - m = -8. Suppose s = i*f - 20, s + 0*s = -4. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d + 16*d + 17*d - 11*d.\nAnswer: 31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/130 and 93\/38816?\nAnswer: 2523040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2*w**3 + 5*h**2 - 41*h*w**3 + 3*w**3 - 29 with respect to h.\nAnswer: -4*h*w**3 + 10*h - 41*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 73206 - 2?\nAnswer: 73204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 90671 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 923 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2040*v - 2034*v - 294. Let n = 51 - v. Solve 0 = -2*d + 2*m + n, -m = -3*d + 3*m + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -3\/1050665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1, 4, 0.02, 195?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*j - 191*j + 131588. Solve -7*d + j = 1031 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1458 - 1454. Sort -4, s, -1, 0, -15 in ascending order.\nAnswer: -15, -4, -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyzyyyypzyzypzy. Give prob of picking 1 z and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 220310 (base 7) to base 10\nAnswer: 38570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20082*x**2 + 12694*x**2 + 7400*x**2.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1383 and 1344 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 - -2. Let k = -0.011 + -1.989. Which is the second smallest value? (a) x (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100\/17 - -103\/17. What is the closest to a in 1, -5, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52 + 41)\/(((-219329)\/(-19940))\/(-11) + 1). What is w rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 4879822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21002111 - -12?\nAnswer: 21002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q - 4. Let m = -74 - -93. Solve -q = -4*l + m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 times 23.0726?\nAnswer: -9.690492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799 is divided by 266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (182 - (24 - -68))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-4)\/(-24)*3). Suppose 22 = o + h. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2412 + 36605. What are the prime factors of r?\nAnswer: 11, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144286 divided by 167\nAnswer: -144286\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + 4*t)*(-2*t**2 + 2*t**2 - t**4) + (4*t**3 - 4*t**3 - 2*t**3)*(-23*t**2 - 9*t**2 + 4*t**2).\nAnswer: 52*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 11*o**2 - o + 4. Suppose -3*s + 4*s = 1, -s = 3*r - 22. Let p(k) = -12*k**2 + k - 5. Calculate r*y(m) + 6*p(m).\nAnswer: 5*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 67\/103 in 4\/3, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -4, 1, 307 in ascending order.\nAnswer: -4, 1, 39, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 16*i - 52. Suppose -125 = -3*w - v, -2*w + 5*v + 95 = w. Calculate the remainder when w is divided by u(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1918.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -1, -0.15 in decreasing order.\nAnswer: 0.06, -0.15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**2*q*t - 135*m**2*t + 6*q*t - 50*t wrt m.\nAnswer: 4*m*q*t - 270*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.91 + -0.09. Let c be ((-189)\/24)\/9 - 1\/8. What is the closest to o in c, -2, 6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 100?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(1 - -1) + -2. Is 8 a factor of 49 + -4 + -4 + h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from {x: 3, w: 4, b: 7}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*d - 14, 2*d = 6*d - t + 8. Let v = 0.668 - -0.69. Let j = v - 1.158. Which is the nearest to 0.1? (a) -0.3 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i + 16. Let q be v(7). Let k(h) = -h + 5*h**q + 4 - 5*h**3 + 6*h**3 + 4 - 2*h. Let y be (48\/60*(-30)\/4)\/1. Determine k(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -18322*x + 568068. Give b(31).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -4) + (1 - 0) - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from bcoiczk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = -s + 4*l, -5*s + l + 15 = 0. Solve 29 + s - 4*p**3 - 7030*p + 40*p**2 + 6962*p = 0 for p.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8326632631 to four decimal places.\nAnswer: 0.8327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20967320 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 270971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-14) - 38\/(-14). Suppose 6*c - u*c = z - 1, 0 = -2*c - 5*z + 22. Let i be 12\/16 + c\/4. Is 2 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 14*x**3 - 4*x**2 + 8*x - 4. Let l(b) = 15*b**3 - 5*b**2 + 9*b - 5. Determine -6*l(w) + 7*y(w).\nAnswer: 8*w**3 + 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 483731475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 310*y - 10699. Give t(-52).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 12. Suppose l = 3*g + g. Suppose -5*u - b = g*b + 10, -3*b - 15 = 0. What is the greatest common factor of u and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70400 is divided by 407?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -9769.\nAnswer: 5\/9769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/8 (b) 4\/5 (c) 2.3 (d) -0.1 (e) -0.5 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 170957009 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*b**2 - 117*b**2 - 46*b**2 - b**2.\nAnswer: -191*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 25. Let y be ((-1)\/3)\/(12\/(-108)). Suppose -5*z = -4*n - 33, -8 = y*n - x. Solve -4*k = 5*a - z + 1, -5 = a - 5*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 18*u - 37. Let j(l) = -2*l**2 - 12*l + 25. Let t(v) = 5*g(v) + 7*j(v). Let b be t(-7). Sort -4, 1\/8, 2\/5, b.\nAnswer: -4, b, 1\/8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-20 + -17 + 45 - (-4 + -1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = -5*a, 2*a - 7*a + 22 = -4*h. Is h\/((-6)\/(-4)) + 21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/9 + 88*d**2\/9 - 205*d - 450 = 0. What is d?\nAnswer: -2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/45*-3*((-3444)\/6)\/14?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -943*g. Let u(o) = 1285*o**2 - 2*o - 2. What is u(t(l))?\nAnswer: 1142684965*l**2 + 1886*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/84)\/(104\/(-364))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2, 2\/29?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a69 - -b28?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - 0.42. Let g = 4 - 3. What is the nearest to g in -3, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*r - 330 - 943 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 4*f + 135. Let a be v(-35). Let u(b) = b - 12. Let j be u(7). Is (a\/3)\/j*3945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - n = -2*n + 32, 0 = -2*z + 3*n + 3. Suppose o - z = -2*o. Suppose 4*a = 0, -o*w + 3*a + 39 = a. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201112 - 11?\nAnswer: -201123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 + 124. Let u(v) = -v - 6. Let k be u(-6). Suppose 4*f + 12 = -r - r, -j*r + 2*f - 18 = k. Let a(w) = -w**2 - 5*w - 6. Determine a(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8398265.\nAnswer: 5, 1679653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(-1))\/s*(s\/(s\/(s*s**(-6))))\/s)\/((s*(s\/((s*(s*s**(-5))\/s)\/s))\/s)\/(s**(3\/2)*s)) assuming s is positive.\nAnswer: s**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19\/82 - 1020\/287. Calculate the common denominator of 3\/11 and c.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 209 - 205. Suppose -5*k = d - 17, 4*d + o = k + 9. Solve d*n = 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*j - 332*j + 67*j + 54*j - 262*j.\nAnswer: -515*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.0547 * -72.\nAnswer: 219.9384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 74*j - 76*j. Is ((-10)\/(-30))\/(j\/41577) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 4*o - q, q = 4*o - 4*q - 160. Let h = o - 48. Let u(g) = -4305*g + 35. Let t be u(h). What is t rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -z + 18. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 56 = 5*f. Let o = 0 - f. What is the remainder when (-4)\/4*-11*10 is divided by o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 x when three letters picked without replacement from {b: 1, t: 2, l: 3, x: 4}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 1.3749.\nAnswer: 0.68745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2514 divided by -3?\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((sqrt(176) + -2)*1 + sqrt(176))**2 - (-1*sqrt(176) + 1)) + (0 + -1*sqrt(176) + sqrt(176)*-2*-4)**2).\nAnswer: -55986 + 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145039691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d - 9. Let t be (-5)\/(d\/(418771*4)). Let f = -863855 + t. Round f to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5, 0.07, 2\/21, -0.954 in increasing order.\nAnswer: -5, -4, -3, -0.954, 0.07, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 2*w = -4*b, -5*b + 5*w = -30 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 71. Let x = -35 + q. Suppose 0 = 3*f - 5 - 4. Solve x = o + 5*y + 5, -3*o - f*y = 2*o - 19 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3166, 12655, 28566, 50989, 80014, 115731?\nAnswer: 158230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -84444 divided by -7037\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(480) + (sqrt(480) - sqrt(480)*-2 - sqrt(480)))*5 + sqrt(480))\/sqrt(12))\/((sqrt(3888)*5)\/sqrt(6))*-4.\nAnswer: -64*sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/5)*q\/(q*q*q\/(q**(-3)\/q)*q*q))\/(q**2)**(-19) assuming q is positive.\nAnswer: q**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 4*h**2 - 2*h + 3. Let r be 11 + (8 - 7 - 8). Determine n(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1078.\nAnswer: -3\/1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 0 + (56 + 14 + -22 - 22).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = v + 5, -5*o + 2*v = -o - 10. Suppose x - 2*x + 4 = o. Suppose -q - 9 = -45. Solve 3*k + u + u + 20 = 0, 0 = 5*k + x*u + q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 4:14 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3853*0.2964\nAnswer: -1142.0292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-172)\/(-306) - ((5778\/(-306) - 8) + 27).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1061951 or 1061950?\nAnswer: 1061951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 8:22 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 1)*13\/((-130)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3036.2 take away -13?\nAnswer: -3023.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/((-6)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g**3 - 11772*g**2 - 58464*g + 77760 = 0.\nAnswer: -6, 12\/11, 540","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.3, -1, 4, -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -672 + 375. Let d = j + 343. Does 46 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -5) + 15\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 13*d**5\/20 - d**2\/2 - 10*d. Determine h(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 8245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + z**3 + 0*z**3 + (-4 + 1 + 5)*(4*z**3 - 2*z**3 - z**3) - 2*z - 3*z**3 + 2*z - 915*z + 897*z - 4*z**3 + 12*z**3.\nAnswer: 6*z**3 - 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 130 = -434. Calculate the lowest common multiple of b and 12.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, -6.\nAnswer: -8, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/16 in -0.00319, -1, 3?\nAnswer: -0.00319","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1a0 (base 11) to base 4\nAnswer: -3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - f - 2*f)*((-636*f + 1193*f - 677*f)*(f - 7*f + 4*f) - 3*f**2 + 4*f**2 - 3*f**2) in the form a + s*f**3 + x*f + g*f**2 and give s.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969 is divided by 96\/112*(-7)\/4*-24?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010849155692 rounded to 6 decimal places?\nAnswer: -0.001085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide (-7 - -10 - 1) + 2896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**3 - 8*l**2 - 5*l + 5. Let y(u) = -u**4 + 4*u**3 + 8*u**2 + 4*u - 4. Let b(z) = 4*o(z) + 5*y(z). What is the third derivative of b(a) wrt a?\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxxxxxuxxxxxxxxxu. Give prob of sequence xx.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f**2 + f**2 - 2*f**2)*(-f + 2*f + f) - f + f + 2*f**3)*(-28*f + 23*f - 37*f).\nAnswer: -168*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22187 divided by -2017?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*f**2 - 5*f**3 - 20*f**2 - 12*f**2.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 9. Let k = -7 + y. Let q be 12\/(-54) + (-8)\/18. Which is the closest to -0.1? (a) k (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 11*p**2 - 16*p**2 - 6*p)*(5*p**3 - 7*p**3 + 6*p**3).\nAnswer: -108*p**5 - 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = 552. Let g = k - 65. What is the remainder when g is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 3. Suppose o + 12 = y*o. Find q, given that -3*q + 6*q**o + 5*q - 5*q**3 - 3*q**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1928 (c) 4\/17 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -183, -179, -175?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(576)*-1 - sqrt(9))\/(1*sqrt(3)*-3).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 14 - 10. Which is the nearest to -1? (a) 1 (b) 1\/6 (c) t (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a + 2*a**2 + 0*a)*(-2*a**2 + 4*a**2 - 4*a**2) - 4*a + 4*a + 8*a**4)*(3 - 3 - a) - 166*a**5 - 169*a**5 + 334*a**5.\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1487 + -1?\nAnswer: -1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1819 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)*2)\/(2*sqrt(192)).\nAnswer: 7*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 + 5975*a**2\/2 + 101268*a - 214488.\nAnswer: (a - 2)*(a + 36)*(a + 11916)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1512 and 61432?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72800 * 53.85.\nAnswer: 3920280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -473 + 865. Suppose 0 = -3*o - 80 + n. Suppose o = 9*s - 5*s. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270) - (2*sqrt(270) + sqrt(270) - sqrt(270)))\/(sqrt(30)\/sqrt(3)*-6).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-7) - 2)\/((-2)\/14). Find the third derivative of -2*m**2 + m**2 - 8*m**3 - 24*m - 22*m**j - m**2 wrt m.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13799924 divided by -2?\nAnswer: -6899962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.143273mg to grams.\nAnswer: 0.008143273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3\/5 + 1588*d**2\/5 - 1884*d + 14076\/5 = 0. Calculate d.\nAnswer: 3, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1129*y - 20. Let o be b(-3). Suppose -4*u + 3375 = -3*j, 2*u + 5*j - o = -2*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 + 0)\/(9\/6). Let s be 99\/(-189) + 4\/z. Let h = 0.48 - -4.52. What is the closest to 1 in -0.3, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, h: 2, k: 5, g: 1, n: 4}. What is prob of picking 1 f and 1 g?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 9*n - 121 = 11*n, -5*m - 3*n = -540. Find the common denominator of -39\/34 and (-1 - (-84)\/88)*m.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*g, -4*w - 113*g + 114*g - 29 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (413\/(-63) + 5)\/(3 + 21\/(-9))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (168\/(-320))\/7*4*(-85)\/34?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/6 - 571679*q**2\/2 - 245112373441*q\/2 + 735338835361\/6.\nAnswer: -(q - 1)*(q + 857519)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 5*u - 2*b, 4*u + b + 38 = -6. Let f be ((-26)\/10 - (-12)\/4)*u. Let n(s) = -5*s + 12. Is 8 a factor of n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*((-60)\/(-12))\/(-5). Solve -h*y - 4*v + 3 = 0, 5*y - 5*v = -7*v + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, 638, 957, 1276, 1595, 1914?\nAnswer: 2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/6 - (-2260)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765.052649 rounded to one dp?\nAnswer: 765.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144339 divided by -1145.\nAnswer: 144339\/1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9343 - 1.8343. Sort -4, c, -1, 1.3 in descending order.\nAnswer: 1.3, c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*r - 18 = 0, -3*w + 5 = -r - 0*r. What is the greatest common divisor of 24 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 360 + -359.833. Let r = p + 0.1485. What is r rounded to 2 decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.5 + -19. Which is the second smallest value? (a) 4 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = -x + 3*k + 4, -5*x + 7 = -2*k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 412, -8, 3 in descending order.\nAnswer: 412, 3, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71303098, -142606198, -213909298, -285212398, -356515498, -427818598?\nAnswer: -499121698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1781 = -16613. Let j = -29733\/8 - h. Let x = 1\/200 + -6301\/200. What is the common denominator of j and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 820\/50 - 6\/(-10). Let c = o + -13. Suppose -m + c*t + 94 = 2*m, 4*t - 86 = -3*m. Calculate the greatest common factor of m and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 49 = -3*k, 5*k + 18 = -0*o + o. Let g = o - 8. Suppose g*m - m = 60. What is the remainder when 29 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 18*j + 1. Let i be p(2). Does 40 divide (-6 - -8)*(-6)\/(-4) + i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d - 17. Let j be w(-3). Let i(x) = x**2 - 4*x. Let u be i(5). Solve u = 4*g + q, -g = -j*q + 6 - 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*l + 19*l + 3*l**3 + 2 + l**4 - 2*l**2 + 0*l + 31*l**3 as x + m*l**4 + j*l**3 + n*l**2 + d*l and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 758\/37 + -20819\/888. Find the common denominator of (-18)\/48*-2 - 131\/(-108) and b.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20491 is divided by 3410?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 24635 = -6*d + 4*h, 0 = -3*d + 3*h + 73887. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088*c**2 + 2241*c**2 + 226*c**2 - 853*c**2.\nAnswer: 2702*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2519088?\nAnswer: 2, 3, 11, 13, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.11, 4, -2, 3.\nAnswer: -15, -2, 0.11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4662487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**2 + 4*b**2 - 14*b**2 - 2*b**3 - b**4 + 2*b**2 + 8*b in the form v + u*b + d*b**3 + n*b**4 + j*b**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 114426?\nAnswer: 457704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 52)*6\/4. Suppose 0*q = 5*q + 3*u - t, 97 = 4*q - 5*u. Let f(m) = -m**3 - 23*m**2 - 75*m + 25. What is the least common multiple of q and f(-19)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = 11. Let l be (-6)\/21 + k\/63. Put -1\/2, 2\/11, l in increasing order.\nAnswer: -1\/2, l, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 899979 by -218.\nAnswer: -899979\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/2*(2 + (-87)\/45). What is the second biggest value in 0.2, -0.3, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c - 11. Let y(r) = -31*r - 56. Let b(g) = 11*o(g) - 2*y(g). Let t be b(-6). Let a = 490 + -490. Solve a*z = -3*z - t for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 75. What is the remainder when a(24) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/864 and 47\/1632?\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51179128 and 1695694?\nAnswer: 562970408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*c - 5*c, 3*c = -4*k - 3. Suppose -5*b + 1 + 9 = k. What is the biggest value in -2\/7, 24, b, 2\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2\/7, -25, 0?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*d - 3754, -d - 1421 + 5183 = 2*v. Is 25 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.857.\nAnswer: -5.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35322 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/54*(-4)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67 + 25*n + 67)*(9 - 9 + 14*n + (-1 + 4 - 5)*(-5*n + 2*n + n)) to the form g*n**2 + l*n + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -9*c + 4*c + 24, 4*c - 3*o - 3 = 0. Let z(j) = 7*j**3 + 2*j**2 - 3*j - 3. Let u(i) = -7*i**3 - i**2 + 2*i + 2. What is c*u(f) + 2*z(f)?\nAnswer: -7*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -18*h - 3160. Let y = 430 + h. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2. Let a(v) be the third derivative of 0*v + 0*v**3 + 2*v**2 + 0 - 1\/12*v**4. Calculate a(n(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.238 - -0.003025498?\nAnswer: 0.241025498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - -36. Let p = v + -54.8. Let x be 0\/((-5)\/(5\/(-3))). Which is the smallest value? (a) 4\/3 (b) x (c) -9 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 231\/(-1155)*-1*5*188\/(-4).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80523?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3440823, 3\/7, 1\/4, 2 in decreasing order.\nAnswer: 3440823, 2, 3\/7, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -18, -20, -12, 12, 58?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i + 3*i**2)*(9*i**2 + 0*i**2 - 2*i**2) + 4*i**3 - 2*i**3 - i**4 + 2*i**4.\nAnswer: 22*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 9*r - 4*r. Let u = r + -4. Suppose -2*m + u*v + 40 = 0, 4*v + 80 = 4*m - 0*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 47*y + 12 = -44*y, 12 = -5*b + 3*y. Solve b*j - 5*j + 2 = 3*n, -5*n - 9 = -4*j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503793?\nAnswer: 3, 47, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 16) in base 12?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a (base 14) to base 15.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1673.\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 1)\/(-4) - -3. Solve 0 = 2*m + 3*m - d*x + 23, 2*x = m + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000095451016 rounded to 6 decimal places?\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r**2 - 7*r - 6. Let m(i) = -i**2 - 1. Let x(o) = -4*m(o) + p(o). Let g(t) be the first derivative of x(t). Is g(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*f - 374*f = -5628 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 4*u + 3. Let a be f(5). What is the biggest value in a, -3, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 229\/5*b**5 - 199 + 0*b**2 + 126*b + 0*b**3 + 0*b**4. Differentiate z(n) with respect to n.\nAnswer: 916*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 32, 48, 64, 80?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3215*0.12\nAnswer: -385.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 14 = 2*s, -r = 41*s - 46*s + 29. Sort -0.1, 0.6, 4, r, -5 in decreasing order.\nAnswer: 4, 0.6, -0.1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1911585 divided by -11\nAnswer: -1911585\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 6. Suppose 0 = -p + o*n + 25, 2*p - 3*n - n - 32 = 0. Let f be (-8)\/p*15\/(-6). Solve -5*w + f*w - 15 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.93 - -5. Let x = -0.03 - d. Let c = -1 + 4. What is the closest to x in -0.3, 1\/4, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3\/p**(1\/3)*(p**(-3\/2)*p)**(-8\/13) assuming p is positive.\nAnswer: p**(116\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2. Let o(q) = q**2 - 722*q - 9168. Give o(x(l)).\nAnswer: 4*l**4 + 1444*l**2 - 9168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41499, -159, 2, 0.\nAnswer: -159, 0, 2, 41499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose x*q = r + 2, r + r - 8 = 0. Suppose -o + 8 = q*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 3:02 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2 + -70 - (-5 + 1). Let x = g - -93. What is the greatest common divisor of 49 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 13 = -5*k, -2*k + 5*k = p - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9820*y**4 - 7322569*y**3 + 7322569*y**3 + (-4 + y + 4)*(-3*y + 3*y - 2*y**3) + 0*y**4 + 0*y**4 + 3*y**4.\nAnswer: 9821*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, a: 13}. What is prob of picking 1 a and 2 i?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -2 + -3 - sqrt(1331))**2*6.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (1 + 2 - (7 - -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*l + 5 - 1 - 3)*(-2 + 2 - 2*l)*(-3 + 3 - 3*l).\nAnswer: 120*l**3 + 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 10, -5690, -4 in ascending order.\nAnswer: -5690, -9, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3748*d - 1058946 = -3790*d. What are the prime factors of d?\nAnswer: 19, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s + 29. Let h be f(-4). Is h\/(1 - 0)*1913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*z = 204*z + 3*d - 34, 3*z - 48 = -3*d - 21 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37168.7 and 36.\nAnswer: 1338073.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.119768 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -114 + 120. Sort -2\/11, r, 0.1 in increasing order.\nAnswer: -2\/11, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 534, 25.6, -11, -2, -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9*z = -468. Let b be 2\/(-13) - (-116)\/z. Sort 1, b, -2.\nAnswer: -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -0.04 (b) 5 (c) 5157\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}