diff --git "a/data/dm_maths/full_data_1/1952_11255.jsonl" "b/data/dm_maths/full_data_1/1952_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1952_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 2844*k**3 - 1414*k**3 - 1432*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 5*h + 4. Let y = 4 - 0. Let i(x) = -5*x - y*x - 2*x + 9 - 2*x**2 + 0*x. What is 4*i(g) - 9*p(g)?\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 41*q + 264. Let g be p(35). Let v = g + -175. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87.1 + -3.9. Let j = 90.6073 - -0.0927. Let x = j + i. Sort 3\/7, -2, 2\/9, x in ascending order.\nAnswer: -2, x, 2\/9, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 0 + 5\/2*y**3 + 12*y + 0*y**2. Let p(u) be the second derivative of u**4\/6 - u. Give p(w(g)).\nAnswer: 450*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qliiflcllqqyill.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 2*f. Let d(y) = 0*y + 4 - 9 + f*y**2 - 5*y. Let i(j) = j**2 - 2*j - 2. Suppose -4*b - b = -50. What is b*i(v) - 4*d(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyxaytaayz. What is prob of sequence azax?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u - 1. Let d(a) = -5*a - 4 - 2 - 3 + 11. What is 2*d(i) + 3*r(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 124*x**2 + 37*x - 75. Is q(-37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-12))\/(((-220)\/72)\/11). Solve 3*u - 6 = 0, 5*t + 24 - h = 4*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 320 and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - 6. Let f = -12 - z. What is q in 0*q**f + 0*q + 2\/9*q**4 - 2\/9*q**2 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837545 divided by 837545.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -143 and 792.\nAnswer: -113256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7313, -14995, -22677, -30359?\n\"Answer: -7682*f + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3182788518 to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 12:34 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 36*o - 31*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/42972 and -125\/36?\nAnswer: 128916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98730670 is divided by 2864.\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/7, -3, -65797 in decreasing order.\nAnswer: 2, 2\/7, -3, -65797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {r: 4, i: 1, v: 5, t: 1, x: 4}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 367*f**3 + 7 + 1 - 19 + 5*f - 4*f + 9 + 3*f**4 to the form d*f**4 + r*f**3 + s + k*f**2 + u*f and give r.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 23*g - 35. Let z(k) = -k**2 - 20*k - 36. Let u(m) = -3*o(m) + 2*z(m). List the prime factors of u(-31).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -35\/31701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (2 + -2 - (2 - (-8 - -13))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 38 + 1 + 3 + (-33 - -22)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*a - 208 = 0, -w - 27*a + 188 = -28*a. What is the highest common divisor of 108 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 3. Let t be (1 - 1) + 6 - (0 - 5). Let f(p) = -p**2 + 12*p - 18. Let z be f(10). Let q(c) = 4*c + 16. Determine t*v(k) + z*q(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1086906 and 107.\nAnswer: 1086906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 16 - 37 = 0. Suppose u + s*x = 6*u + 7000, u = 3*x - 1400. What is u rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5516765 to the nearest integer?\nAnswer: 2349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56215*m**2 + 32*m**3 + 112214*m**2 - 55999*m**2 - 193*m**3.\nAnswer: -161*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtfbgfp. What is prob of picking 2 f and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 + k**2 + 0*k**2 + (-5*k**2 + 2*k**2 + 4*k**2)*(-1 - 5 + 5) + (0*k**2 - k**2 - k**2)*(-1 + 3 + 3) to the form m*k**2 + y*k + h and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 0, 17, -2 in descending order.\nAnswer: 17, 0, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -412836347, -412836348, -412836349, -412836350?\n\"Answer: -l - 412836346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 764\/(-6)*357\/(-14). Suppose -12*y + 2033 = -f. What are the prime factors of y?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/21, 62, 0, 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffl when four letters picked without replacement from hshhlhhhhhhhsfhhh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.12 and -1029791749663.\nAnswer: -1029791749662.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*3*-5 - sqrt(95)) + (sqrt(95) - (sqrt(95)*3 - sqrt(95))*5))\/(((sqrt(1250) + sqrt(50) + sqrt(50))*-4)\/(4*sqrt(250))).\nAnswer: 125*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 - t + t + 500 - 504.\nAnswer: -5*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-4)\/(-10)) - -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbqghg. What is prob of sequence bhgg?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6027*a + 126 = 3001*a + 3005*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m = u + 4, -28 = -4*m - 5*u. Suppose -m*v + 18 = 10. Suppose 84 = 4*o + v. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 341876*m + 2735264.\nAnswer: -4*(m - 8)*(m + 85477)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 4*d**2 + 3*d**2)*(2*d**2 + 2*d - 2*d) + 2*d**4 - 2*d**4 + d**4.\nAnswer: 13*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 + -2. Let o = d - -89\/2. Find the common denominator of o and -83\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76151 divided by 281\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 52005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*o - 104*o**2 - 119*o - 8*o**2 - 3*o**3.\nAnswer: -3*o**3 - 112*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 49\/441 - (6190\/(-18) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 904\/13871 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 1436301?\nAnswer: 14363010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 13*b**3 + 233*b**2 - 3*b - 2. Let s(r) = -44*r**3 - 698*r**2 + 10*r + 7. Calculate 7*m(t) + 2*s(t).\nAnswer: 3*t**3 + 235*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 + 2*t**2 + 2*t**2 + (1 - 2*t**2 - 1)*(2 - 2 + 1 + (1 + 5 - 5)*(4 + 3 - 1) + (2 - 3 + 2)*(0 - 2 + 1)).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1255*l - 13751 - 5812 = 4282 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.50314 rounded to two dps?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 > 1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*h**3 - 638*h**2 - 11585*h - 9800.\nAnswer: -(h + 35)**2*(9*h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140.877 + 141. Let a = t - 0.223. Let f = 0.13 - -0.87. What is the third biggest value in a, f, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(1617))\/(sqrt(3) + (sqrt(48) - sqrt(192)\/sqrt(4)) + sqrt(3)) - sqrt(99)\/(sqrt(63)\/(sqrt(7)*-1 - sqrt(7)))*2*2.\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 224.45 - 4970.45. Do -1 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-476)*(-9)\/90*5*4\/(-6).\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h**3*h*(h\/h**(-6)*h*h)\/h**(-8))\/((h**2)**15)**(-34) assuming h is positive.\nAnswer: h**1034","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*g + 2*g + 22, -z = g + 2. Let p be (-3)\/(-9)*3 - z - -6. Solve 0*o - o = p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -194*d + 19. Is v(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 11*f. Let d(p) = -6*p**2 + 2*p**2 + 6*p**2. Give h(d(t)).\nAnswer: 22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -62, -93?\n\"Answer: -31*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - sqrt(95)*-2))*1 - sqrt(95))\/(sqrt(35)\/sqrt(63)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40333519 is divided by 395426?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41472*d**5\/7 + 492480*d**4\/7 + 1431000*d**3\/7 - 184035*d**2\/7 + 7740*d\/7 - 108\/7.\nAnswer: 3*(d + 6)**2*(24*d - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-634)\/(-5) - (-1 - 36\/(-20)). What is the common denominator of -27\/16 and 1*2\/6 - 888\/m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 2*l**2 - 2*l**2 - 2*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5) - (-96)\/10 - (-212502)\/(-20853)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 40 - 37 + 109260*y.\nAnswer: 109260*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 12. Suppose -v + 8 = w*z, 2*v + 3*v - 1 = 3*z. Suppose 0 = z*s - 0*s. Solve 2*x + 4*y + 22 = s, 6*y - 4*y = -3*x - 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2. Let t(j) = j**2 + 3. Let x be t(0). Let d(k) = 3 + 18*k - x - 16*k. Determine s(d(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63671287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-585)\/54*(-504)\/84?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-27)\/12)*(-2)\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3*(-6)\/(-9))\/(-2 - -4). Let b = 8 + k. Let v(u) = u - 8. Calculate v(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -4, 0, 107, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -131915605 and -2455.175.\nAnswer: -131918060.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l + 2*l**3 - 4*l + (-4*l - 53*l**2 + 4*l)*(1 + 3 - 5 + (-1 - 5 + 4)*(-7 - 7 + 6))*(-2*l + 5*l - l) to n*l**3 + j + b*l**2 + c*l and give n.\nAnswer: -1588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (l**2 + 0 + 0)*(-2*l + 0 + 0) + l**3 - 6*l**3 + 4*l**3 - 32*l**2 - l**2 + 9*l**3 + 39*l**2 - 17*l**2 - 25*l**2 as y*l + d + a*l**2 + n*l**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2527 and 193021?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 r when two letters picked without replacement from zzzzzzrrzzrzzr.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 8 = 2*j, 4*j + 230*g - 16 = 218*g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 1. Let g be -4*(2 - (-35)\/(-15)) - (-30)\/45. Let n(s) = s - 1. Determine g*n(o) + 3*v(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 0*f**3 + 540 - 538 + 2*f**3 - 2*f**2. Let p(g) = -2*g**3 + 3*g**2 - 3. Let u be 0\/(-3 - -8) + 5 + -1. What is u*p(r) + 6*v(r)?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z = 6*z + 18 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 1646859?\nAnswer: -1646864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -6, -4, -78?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05585 plus 263?\nAnswer: 263.05585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5052 >= -5053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = 8. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 2 = 5*r. Suppose c = -3*q, 3*c - 10 = q - 0. Suppose 5*g - c*g + 16 = 0. Sort -5, g, r in descending order.\nAnswer: r, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/12 and -45\/152?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6311.\nAnswer: 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -9, 319, -2952, 3.\nAnswer: -2952, -9, -1, 1, 3, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -64.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 805 by 2.\nAnswer: 805\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2142)\/(-21) + 3108\/(-74)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*a + 2015 = 5*r + 60*a, -2*a = 2. What is the remainder when r is divided by 193?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 4*v - 26, 69*x + 5*v = 204 + 161 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 12728\nAnswer: -3\/3182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71142904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -137*p + 197*p - 120*p. Let h(g) = -3*g. Give d(h(l)).\nAnswer: 180*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -40614?\nAnswer: -40608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 60*r + 89*r - 34, 8 = -5*k + 3*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - i**3 + i**2 + 9386846 - 9386846.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/11)*b*b\/(b*b**19*b) assuming b is positive.\nAnswer: b**(-206\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -62*2*(1 + (-10)\/(-8)). Let k = -119 - v. What is the highest common factor of 40 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -516.4 + 516. Which is the smallest value? (a) 0.1 (b) -1\/5 (c) 3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -9, -2\/3, -2, -10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/6, -1\/8, 206.2 in descending order.\nAnswer: 206.2, 25\/6, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*q**3*r**2 + 18*q**3*r - q**3 - 592821*q**2*r**5 + 34*q**2 + 962*q*r + 2*q wrt r.\nAnswer: -14*q**3 - 11856420*q**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*y + 7 - 28, 4*j - 19 = y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - -0.34. Let w = -0.5 + 0.2. Put 3\/8, m, w in decreasing order.\nAnswer: m, 3\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14725 + -14704. Let p(c) be the third derivative of 0*c - s*c**2 + 0 - 3*c**3 - 7\/6*c**4. Differentiate p(o) wrt o.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 495 = -5*r + 95, 4*r + 242 = 3*g. What are the prime factors of g?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c**4 - 3*c**3 - 10*c**2 + 3. Let m(h) = -h**3 - h**2 + 1. Let l(j) = 3*m(j) - v(j). What is the third derivative of l(s) wrt s?\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 787564, 787663, 787762, 787861, 787960?\n\"Answer: 99*f + 787465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 414.3 equal to 0.058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 25. Let v be (8\/(-28) + 6\/j)*-8. Solve -v*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 103bd + -2?\nAnswer: 103bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttetttet. What is prob of picking 2 e and 2 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 0. Suppose -2*o = 2*h + 4, -2*o + h + 2*h = -16. Let m = -174 + 169. What is the nearest to g in -0.2, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 10063*x - 60346. Give f(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i - 14007962 = 9*i - 1986117. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116713, -466645, -1049791, -1866145, -2915701, -4198453, -5714395?\nAnswer: -7463521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5 + sqrt(171) + sqrt(171) + 0 + 1 - 1*(-1*sqrt(171) + -4)*5)**2.\nAnswer: 882*sqrt(19) + 8820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1004478 by -1004478.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3904 and 21\/42944.\nAnswer: 42944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + (-22)\/5. Let r = 252 + -250. Let h be 1*((g - -14) + r). Calculate the highest common factor of 132 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -17, -3 in decreasing order.\nAnswer: -3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -738 + 745. What is the remainder when 2 is divided by (n + -16)\/(-27)*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 6:23 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -597 by -199.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -31.8. Sort 2, p, 1\/6.\nAnswer: 1\/6, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*r - 19 = -142, -4*r + 586 = 5*b. Let l = b + -68. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 2 (c) 1956 (d) -6 (e) -0.041 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + -0.2. Suppose 0 = -h + 6. Let o(l) = -3*l + 20. Let z be o(h). What is the closest to z in -2\/9, f, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 q, and 1 j when three letters picked without replacement from jrqjjrjjjrjjjjj?\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 5626.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467868199 to the power of 1\/3, to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*t - 192 + 24*t**3 + 36*t**2 + 3*t**4 - 13*t - 11*t - 29*t.\nAnswer: 3*(t - 2)*(t + 2)*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 52*x**2 - 25*x + 61. What is the thousands digit of z(-31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a - 6*a + 0 - 3. What are the prime factors of j(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 5. Let o(f) = 6*f + 14. Let q(z) = 5*o(z) - 14*r(z). Let d(j) = -j + 4. Let w be d(4). Let x(l) = -l + w*l - l. Calculate q(x(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109 (base 13) to base 6.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzkzzkzl. Give prob of picking 2 z.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 23 = -13. Suppose l*y - 39 = y. Solve 5*c + 3*i = 16, -2*i = -2*c - i + y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 1.1\nAnswer: -1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 902094419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*d - 8*d - 126. Calculate the smallest common multiple of (120\/200)\/(2\/30)*3\/1 and d.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 272 - 271. Solve -x + 0*m - 3*m = -i, 2*m = 2*x - 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59816298*m**2*p - 75593460*m**2 with respect to p.\nAnswer: 59816298*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5150897507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36801647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/(2\/30). Suppose 4*l - i*h - 8 = 7*l, 0 = 5*l - 5*h. Let c(n) = -n**3 - 3*n - 3. Let k(f) = f + 1. Let m(r) = 5*c(r) + 15*k(r). Give m(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5038297 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 66072285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 348 = a - 53, 4*a - 2*r = 1590. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + -3*sqrt(448))**2 + 5*(sqrt(448) + 2 + -1 - sqrt(448)).\nAnswer: 192*sqrt(7) + 4053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 11 + 82*o - 94*o to h + u*o and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 - 82. Suppose 4*a + 3*u = 33, -2 = -s*a + 3*u + 7. Sort a, -5, -4, 3 in decreasing order.\nAnswer: a, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**3 + 45*s**2\/2 - 6879*s + 1. What is h(11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 128*h**3 - 20 + 141*h**3 + 6.\nAnswer: 269*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 315*u + 16 + 103*u to the form m + y*u and give y.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 3}. Give prob of picking 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -0.94022?\nAnswer: 3.94022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -7*h**4\/24 - h**3\/3 + 18*h**2. Let d be f(-1). Solve d*u - u = 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 4*h**2 + 286*h + 2169. Give d(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 148, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**2 + 5710*n + 1520685 = 0.\nAnswer: -719, -423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1.467\nAnswer: 0.2934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*d - g - 29, 0 = d - 5*g + 2. Suppose o + 2*o = d. What is the remainder when o is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42627973*k**5 - 61*k**2 + 42302?\nAnswer: 2557678380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 15*g - 37 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19269006*g**3 + 9634500*g**3 + 9634497*g**3.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-3 + 1 + -4 + (-3 - -6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(8\/(3 + -7)). Let p(q) = q**3 - 4*q**2 - 6*q + 2. Let i be p(z). Let h = 10 + i. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10586 and 4937448.8.\nAnswer: 4948034.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 7*u**2 - 11*u - 2. Let o be p(-5). Factor -10 + 20*n**o + 14*n - 47*n**5 - 49*n - 30*n**2 + 62*n**5 + 40*n**4.\nAnswer: 5*(n - 1)*(n + 1)**3*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 - -1324\/17. Are -1 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3004 divided by 4?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4 = -0*t. Suppose 16 = 5*v - t. Suppose 4*a - 4*q - 108 = 0, -4 = 4*a + v*q - 136. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6381900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 6. Let h = 2303\/832 + -187\/64. Sort z, -0.1, h, 0.4.\nAnswer: z, h, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/9 + -3)*-12. Let o be ((-72)\/32)\/((-1)\/w). Let z be (-12)\/2*(-12)\/o. Solve -s + m + z = 0, -5*s + 18 = -2*m + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y. Let v(a) = 7*a. Let c(g) = 8*v(g) - 5*z(g). Let s(k) = -4*k - 1. Let p(h) = 5*c(h) + s(h). Give p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-116)\/(-8) + -14)\/((-10)\/(-4)) + 55648\/(-940)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -1\/30*h**5 - 1\/120*h**6 + 0*h + 1\/6*h**4 + 3*h**2 - h**3 + 0. Let s(f) = f**3 + 2*f**2 - 3*f + 5. Calculate 5*o(a) + 6*s(a).\nAnswer: a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 378.47 + -122.51. Let v = -251 + j. Let n = v + 0.04. What is the closest to 1\/4 in 0.3, n, -2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtortrorbrrtbbbrrrr. Give prob of sequence rro.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 192, -1565 in descending order.\nAnswer: 192, 4, -1565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -950.59399 - 0.00601. Let f = a - -1099. What is f rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/(2\/(-4)*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 45 (b) -4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 9*w + 318. Solve 2 = -w*f + 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - 2*a**3 - 4*a)*(-44 - 63 + 107 - 1953*a) in the form d + s*a**3 + l*a**4 + v*a**2 + f*a and give l.\nAnswer: 3906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*w + 66 - 258, -w = -5*a - 64. Let q = w + -44. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((28 - 0 - (36 - 20)) + 1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 11*n + 11. Let v be a(-14). Let x = v - 37. Calculate the highest common divisor of x and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2 - -16) + 24 + -1 + -23?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21201120201210 (base 3) in base 12?\nAnswer: -145ba79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(108) + 0 - (2 + sqrt(108)*-2)) + 0 + 1*sqrt(108) + 5 + 5)**2.\nAnswer: 576*sqrt(3) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 8*d**2 - 8*d. Determine s(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -280 + 283. Let x be (-294)\/(-56) + g\/(-12). Which is the fourth smallest value? (a) 0 (b) 2\/3 (c) 0.4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**(1\/7)*s)\/s))\/s)\/s**(-1\/5)*((s\/s**(-1))\/s)**(-28) assuming s is positive.\nAnswer: s**(-1003\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25060, -100454, -226140, -402118?\nAnswer: -628388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-16)*(2 - -2*13). Let h = 19 - w. Let t = -209\/42 + 17\/6. Is t less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 6:05 AM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*h = 31, 5*f - 6*h = -5*h - 33. Let o(y) = 11*y - 6*y - 7*y - 7. Does 3 divide o(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2488192893?\nAnswer: 3, 43, 6429439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 286 + -143. What is the greatest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 0 (c) 0.2 (d) 42 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 871092 and 241970.\nAnswer: 4355460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16430, -65676, -147758, -262676, -410430?\n\"Answer: -16418*f**2 + 8*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7652499, 7652504, 7652509, 7652514?\nAnswer: 7652519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 - -1010010?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -4117, 38.\nAnswer: -4117, 29, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**3 + 33749*k - 33749*k.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4571 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 8) in base 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.12 - -0.38. Let b = 2.5 - o. Is -1\/2 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5393 is divided by 5372.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 p, and 1 i when four letters picked without replacement from ptittxiiiiextmtpt?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(-245))\/(11\/1155)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180 - 180 - (0 + 7 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i - 18 = 2*d, 3*i + 5*d + 3 = 0. Suppose -2*y - i*x + 370 = 0, -y - 3*y = 3*x - 755. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 406909041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 167 + -165. Let f(z) = 5*z**3 + 2 - 3*z**3 + 3*z**2 - z**x. Calculate f(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/13? (a) -53 (b) -0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21998031?\nAnswer: 3, 11, 666607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1054 greater than -937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*r = 6, -3*g - 5*r + 10 = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1471 + 3?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 31010 (base 4) to base 15\nAnswer: 3ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1110101110 (base 2) to base 3\nAnswer: -1021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**3 - 2*b**2 + b + 2. Let g be n(-1). Solve -i + g = -3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -6)*(-15784)\/(-10). Suppose 3379 = -6*g + 7*g - 4*p, 4*p = -16. Let v = z - g. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*z - 4*z - 77*z - 17*z)*(-48*z + 18*z + 24*z)*(-z**2 - 2 + 2) as m + f*z**4 + o*z**2 + i*z + b*z**3 and give f.\nAnswer: -666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126824 is divided by 130?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -53, -72, -65, -20, 75, 232, 463, 780?\n\"Answer: 2*r**3 + r**2 - 36*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238329739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10)\/((m**(-2\/45)*m)\/m))\/((m\/(m\/(m*m**(-14\/3)\/m)))\/m*(((m*m**(-2\/39))\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-1309\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 56 = -u - 72, 5*z - 40 = 5*u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 14*p. Let c be b(-15). Let h be (12\/(-5))\/(28\/c). Suppose -322 = -3*v - 52. Calculate the highest common divisor of v and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -5*c + 15, -840*c - 2*l = -841*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3206*z = -3209*z + 156. Solve 5*k - z*a = -55*a - 6, -6 = -3*k + 3*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 31*c + 4. Let j(m) = -10*m**2 + 93*m - 11. Let p(o) = -4*j(o) - 11*z(o). Find the second derivative of p(w) wrt w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 780 and 936?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*l + 9287 - 2817 + 21430 = 0 for l.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 13*d**2\/2 - 25*d + 20. What is the derivative of i(j) wrt j?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 7. Suppose -m + 20 = m + 4*o, 3*o = 0. Let a be g(m). Let l be 3\/20 + a\/12. What is the second biggest value in 1, l, 1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 32*k**3\/3 - k**2\/2 - 2*k + 17. What is the remainder when 154 is divided by i(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36776.\nAnswer: 2, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 6*f - 76 = -38, 0 = -4*t + 2*f + 20 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 27*s**2 + 6*s + 35. Suppose -6*b + 2*b - 21 = 3*z, 2*b + 17 = 5*z. What is the units digit of n(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2 - 6*a. Let j(i) = 2*i**2 - 6*i - 1. Let m(w) = -5*f(w) + 6*j(w). Give m(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98036466?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -36. Let z = k - 12. Calculate the smallest common multiple of (z + -4)\/(1\/5) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80902 + 80901.8. Let t = -1.4 - 0.1. What is the third biggest value in t, j, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 divided by 19?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3 + 1930*d**2 + 4538*d - 3 wrt d?\nAnswer: -6*d + 3860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 0.1, 32, -1, -62?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115000 and 618500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(48\/(-40))*48\/80*(-68)\/(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 214*t + 48. Let l(c) = 142*c + 33. Calculate -5*j(k) + 7*l(k).\nAnswer: -76*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 7*m**2 - 8*m + 8. Let p be y(6). Let t be (-74)\/p + 2\/(-4). Let s = t - 29. Put 2, s, 1 in descending order.\nAnswer: 2, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67.7 * 22386\nAnswer: -1515532.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 0*l**3 - 33*l - 1\/2*l**2 + 0 - 1\/12*l**4. Give h(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -4, 0.04, 0.4, 3, 3948.3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 182041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*g = -0*g - 15, g = -3*y - 11 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*x + 2*x. Let o be (-1)\/(x\/2) + 4. Suppose 3*d + o*d = 45. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1205866552.\nAnswer: 2, 11, 683, 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 21981885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnhzzzzzn. Give prob of picking 1 z and 1 n.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*b**2 + 51\/2*b + 0.\nAnswer: 3*b*(b + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 81*l + 1258. Give m(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -16*j + 36. Let y(f) = -f**3 - 7*f**2 - 7*f - 2. Let r be y(-6). Let l = -2 + r. Calculate the highest common divisor of l and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.9144 plus -0.00094?\nAnswer: 124.91346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in decades?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.151 and 643631.\nAnswer: 643631.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -4, -7, -1.46, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 162\/19 + -1018\/57. Calculate the common denominator of 143\/24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*b**3 + 2*b**2 - 1863*b**3 + 3*b**2 - 5*b**2.\nAnswer: -1419*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**3*x**3 - m**3 + 346*m**2 - 107*x**4 wrt x.\nAnswer: 9*m**3*x**2 - 428*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**3 - 18*m**2 + 18*m + 1. Determine g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*f + 182*f + 77*f + 319*f.\nAnswer: 609*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -1. Let a(u) = u**3 + 5*u**2 + 5*u - 5. Let t(f) = -f**2 + 8*f - 1. Let d be t(7). Suppose 0 = -r - 1. Let h(m) = d*l(m) + r*a(m). What is h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 28. Let h = 52 + -49. Suppose 2*w + g*f - 16 = w, 0 = 3*w + h*f - 42. What is the highest common factor of 26 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 - -129. Suppose p + 204 - 231 = g. What is the remainder when 3\/(-1)*(-1 - 25) is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49889844 divided by -36.\nAnswer: -1385829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 30403 (base 7) to base 8\nAnswer: 16352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2057))**2 + -3 + (sqrt(119)*-1)\/sqrt(7) + (-2*2*(sqrt(272) + -2 + sqrt(272)))**2.\nAnswer: -513*sqrt(17) + 19524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26068394 - -0.04.\nAnswer: -26068393.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = 4*b + 6, -i = -5*b - 21. Let j be (5\/20)\/((-2)\/(-8)). List the prime factors of i\/(-4*j\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) + (-110)\/(-25). Let q be (-7 + -1)\/(d\/6). Let v = q + 18. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 14*q**2 - 27*q + 2. Let x be n(-12). Let z = 31 - x. Let w be ((-2)\/z)\/(7\/14). What is the biggest value in w, -5\/2, -18?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 - -26. Let w = -0.5 + 0.3. Let q = w - -0.2. Sort -1, q, h in increasing order.\nAnswer: h, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*g**3 + 6*g**4 + g**4 - 9*g**4 to the form b*g**3 + c*g**4 + w + u*g + l*g**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + q - 5. Let t be v(0). Let m = -5 - -3. Let u = -2.1 - m. Which is the closest to 0? (a) u (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -22\/5 (b) 0.4 (c) 2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-135) + 4\/18?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -2*a + 16. Let f = -304 - -310. What is the smallest common multiple of a and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 84. Suppose p*v = j - 4*j + 6, -3*v = -5*j + 10. Let f(m) = 5*m**2 - m - 9. Let g(t) = t**2 - 2. Calculate j*f(r) - 9*g(r).\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2292333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -70*f**4 + 5*f**3 - 55. Let j(h) = -35*h**4 + 2*h**3 - 28. Let k(m) = -5*j(m) + 2*q(m). Find the first derivative of k(a) wrt a.\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 18. Suppose -5*r = 5*h + 5, -h + 0*r - s = 3*r. Suppose h*b = 3*b + 53. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 15 - 16*n**2 + 3*n**3 - n**3 + 0*n**3 + 16*n. List the prime factors of k(10).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + 0 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a**2 + 1 - 1 - 6*a**2.\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.812 + 29.542392. Round g to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 - 433550048*b\/7 + 23495705515100288\/7.\nAnswer: 2*(b - 108387512)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 + 48*m + 5632. Give c(-29).\nAnswer: 1717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1 - 6 - 13*v.\nAnswer: -13*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*z)*(-37*z**3 - 101*z**3 + 505*z**3) to the form y*z**2 + p*z + w*z**4 + c + g*z**3 and give w.\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1721 + -1719. Let t(p) be the second derivative of 1\/2*p**3 + 11*p + 0*p**y + 0. Let r(w) = -6*w. What is t(r(i))?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 4. Let d be y(0). Suppose -5*h - 1890710 = -3*s - 49890685, -d*s - 63999990 = -2*h. Round s to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = -3*h + 3*d + 86 - 179, 46 - 298 = -0*d - 3*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-70)*10 + 15\/((-1155)\/704)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 980 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**7\/56 + b**6\/40 + 9*b**5\/80 - b**4\/16 - b**3\/4 + b. Solve l(y) = 0 for y.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004672 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -4350?\nAnswer: -434a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 - 154a?\nAnswer: -14aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*d = 3*x - 420*d + 39, 3*d = 2*x - 64 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351856 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - 3.2. Let q = -98.4 + 94. Let y = q - j. What is the closest to 5 in y, 2, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/788 and 35\/304.\nAnswer: 59888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 5843286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(72) + 1*sqrt(72)) + sqrt(72)*1*-5)\/((sqrt(24) + -4*sqrt(24))*3).\nAnswer: 13*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.006326\nAnswer: 0.0025304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1145568, 1145570, 1145572, 1145574, 1145576?\n\"Answer: 2*k + 1145566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1071, -1086, -1111, -1146, -1191?\n\"Answer: -5*f**2 - 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4168 (base 14) to base 9\nAnswer: -16405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*c - 2*t + 44, -4*c - 52 = -4*t. Let i = -5 - c. Suppose -30 + 2 = -p. Calculate the highest common divisor of p and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (7 - 12) - (2 + 0 + -6).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4901 + 4904. What is the least common multiple of 861 and d?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47*c + 3877*c**2 - 470*c + 181*c - 97*c - 4 wrt c.\nAnswer: 7754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 3*n**2 - n + 3. Let l be q(3). Suppose 4*r = 11*r - 14. Put -5, l, -2, r in decreasing order.\nAnswer: r, l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 take away 66097524712?\nAnswer: -66097523918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kueu when four letters picked without replacement from ukugkkuekkkegc?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and -3434287.68929.\nAnswer: -3434277.68929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -58*q. Let v be 5 + (-4 - ((-103)\/1 + 2)). Let k = v - 67. What is the remainder when n(-3) is divided by k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26508 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 489, 1139, 2061, 3255?\nAnswer: 4721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x + 26. Let j(q) = -6*q**2 + 2. Let y be j(-2). Let f = x - y. Solve m - 19 = -5*l, -f = m - 2*l - 0*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 21.15 and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/3*1)\/((-9477)\/(-338) + -28)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and -456.\nAnswer: 36.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1858523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**3 - 26*b**2 - 16*b - 5. Let v be x(-8). Let z(a) = -a**2 - a. Let o(p) = p**3 - 3*p**2 + 8*p - 6. Let t(j) = v*z(j) - o(j). Determine t(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrwrioahrrr. Give prob of picking 1 i and 1 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 37*q - 10 = -22*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 8*x - 40 = 7*x, 20 = 5*x. List the prime factors of 3890\/90 + (-2)\/g.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 y when four letters picked without replacement from {r: 14, y: 5}?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-108)\/(-16) - (7 - 0). Let b = 0.57 + -0.47. What is the nearest to 1 in -2\/7, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511795521 to the power of 1\/2, to the nearest integer?\nAnswer: 22623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 3. Let i(q) = q - 1. Let c(n) = -d(n) + 3*i(n). Let h(z) = 4*z - 1. Give 6*c(a) - 2*h(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 59*v + 146. Calculate r(-59).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9 - (-60)\/27.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + -8*361\/(-152)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 479769898 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185918045.\nAnswer: 5, 37183609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 372\/(-806)*-13 + (-1 - 243\/51)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, j: 3}. Give prob of picking 3 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 138*b + 47. What is m(-2)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/20 + 6*x**3 + 270*x**2 + 224*x. Determine v so that j(v) = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*j + 20 = 0, -q + 2*j + 0*j = 10. Suppose q = -2*y + 41 + 81. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2464.3 + -2464. Suppose 2*a + 2*a = 4. What is the second biggest value in 1\/7, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 11. Let f(w) = -7*w - 11. Let o be f(-5). Let g = o - 11. Calculate the remainder when g is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2. Let m be 3 + (4 - 2)*2. Let o(s) = -57 + m*s**2 + 57. Calculate a(o(n)).\nAnswer: 98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -16 + p + 28 + 19. Let i be v(-6). Let u = 209 + -204. Solve -i = -0*m - u*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + 7 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 543? (a) -2\/15 (b) -1 (c) -1\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**3 + 4*u**3 + 2*u**3 + (u**2 - 10*u**2 - 2*u**2)*(-u - 3*u + u) - u - 2*u**3 + u in the form v*u**2 + r*u**3 + i*u + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.26 - 0.5. Let l = 0.2721 - 0.5095. Let v = l - n. Round v to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 7 = -k - 4*u, -2*k - u + 8 = 0. Solve -4*r = -3*g - 10, 4*g + k*r + 11 - 39 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 122 = -m, -33 + 421 = 4*m - 4*y. Let z = m + -127. Are -23 and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/6))**32*s*s\/s**10*s*s\/s**(2\/25) assuming s is positive.\nAnswer: s**(-2456\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**3\/3 - 81*t**2\/2 - 71*t + 39. Let w(a) = a**2 + 41*a + 36. Let c(o) = 9*w(o) + 4*x(o). Factor c(u).\nAnswer: 5*(u + 1)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 r when four letters picked without replacement from lrrtzjztrjzrljr.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -168862 at most as big as -168862?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*t + 4)*(120*t**2 - 28*t**2 + 65*t**2) + t**3 + 5*t - 5*t.\nAnswer: 315*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x = 55*x - 140. Suppose 6*o = -x*o + 20930. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75931283?\nAnswer: 75931283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5506*k**5 - k**3 + 1796*k**2 - 261*k + 92069.\nAnswer: 110120*k**3 - 6*k + 3592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -17\/14047?\nAnswer: -17\/14047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*f**5 + 1924556*f**4 + 4536649*f**2 + 11*f wrt f.\nAnswer: -720*f**2 + 46189344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78707925 by 349813.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 36 - (-65 - (-11 - 46))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66123 - 20212. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -258 + 243 - 66*r + 22*r**2 + 18*r. What is the derivative of x(c) wrt c?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2303 = 2*r - 267. Let a = r - -1500. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -24, -25, -26, -27, -28?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -230*a*n**3 + 2*a*n**2 - 27*a*n + a*o + 48*n**3*o - 2*n**2*o with respect to o.\nAnswer: a + 48*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 5 = 16*l + 3*p, -4*p + 26 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51835 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/54 - -19*(-10)\/45. Sort l, 4, 7 in ascending order.\nAnswer: l, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmt when three letters picked without replacement from {m: 5, t: 4, h: 6, v: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(sqrt(10)\/sqrt(5)) - sqrt(7))*6*-6 - -3*((sqrt(700) + (-3*1*sqrt(700) - sqrt(700)) - sqrt(700)) + sqrt(700)))**2.\nAnswer: 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7464?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 514888.7 litres to millilitres.\nAnswer: 514888700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 557 + 3?\nAnswer: 55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -311 + -113144?\nAnswer: -114010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6444, 6399, 6356, 6315, 6276?\nAnswer: 6239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 27. Calculate w(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-14)\/10 - -1) + 4288\/20 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11890250 and 3582?\nAnswer: 107012250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 64\/(-112) + 368\/7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 3*o**2 + 4*o - 1. Let y be k(2). Suppose y*f - 2648 = -5*f. Let u = f - -6. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1254488652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 207 - 24 = 0. Let x be (-533)\/(-429) + (-3)\/d. Factor 0 - x*l**2 + 0*l.\nAnswer: -4*l**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-15) - 344\/(-120). Suppose 0 = -4*f + d*a + 194, -2*f + 13 = -3*a - 81. Let l = f + -29. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212236*c**3 - 113*c**2 + 228*c**2 - 115*c**2.\nAnswer: 212236*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -6.756, 69, 0.5 in descending order.\nAnswer: 69, 0.5, 2\/17, -6.756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z. Let o(x) = 1006911645*x + 1. Determine o(u(r)).\nAnswer: -1006911645*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let n = 6 - 4. Solve -5*o + n*o = p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c = -14*c - 4. Suppose 0 = c*i - 49 - 15. Solve -33 + 10 = -4*a - j, -4*a - 4*j = -i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9149, 38, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**4*i**(3\/5)\/i*i**5\/i)**2 assuming i is positive.\nAnswer: i**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 220 and -14.\nAnswer: -3080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -2\/3. What is the closest to l in -0.5, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 1648*k + 48642. Determine u(-29).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 171*x - 19 + 412*x + 320*x to a*x + s and give a.\nAnswer: 903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3000 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -169 + 92. Let y = -709.8 + 634. Let l = o - y. Round l to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 + -4 + -5) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84.191 - 0.191. Let p = m - 96.4. Let o = p + 10. Round o to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/360*9 + (17\/(-5) - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108473*i + 54183*i + 54293*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-241 - -229) + (2 - ((-4 - -2) + 3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 163046?\nAnswer: -163051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 6, -2, -0.5, -149, 0, 1, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, 0.1, 727?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467 (base 12) to base 3.\nAnswer: 220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7509136 and 6570494.\nAnswer: 52563952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/3 - 7484*l**3 - 63101282*l**2\/3 - 167911024*l - 1006748192\/3.\nAnswer: -2*(l + 4)**2*(l + 5609)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of h**2\/2 + 21. Let w(l) be the first derivative of 0*l - 3 - 1\/2*l**2. Determine w(i(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-15))\/(49\/(2940\/264))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -768 - -1421. What is the remainder when f is divided by 68?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 - 15.22. Let h = 3 - j. Let u = h - 17.9983. Round u to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 140 - 139.999999086. Round v to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326576.\nAnswer: 2, 20411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 722, 725, 728?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*-1 - (sqrt(68) + sqrt(68)*-4)*-5)\/(sqrt(900) + sqrt(144)\/sqrt(4)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 1, t: 1, l: 6, p: 3, u: 3}. What is prob of picking 2 p, 1 l, and 1 o?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -14*y + 168. Let z be ((-4)\/6)\/(y\/18). Let g be (0 + 12\/(-4))*1*z. Solve -2*c - g = -7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3717)\/306033*(-416)\/24.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 126.1 - -0.3886.\nAnswer: 126.4886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 54 (c) -0.6 (d) -0.45 (e) 3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h. Let n(a) = -a + 575. What is n(z(c))?\nAnswer: -2*c + 575","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(1\/4)*o))**42*((o\/(o**(2\/13)*o))\/o*o)**19)**(-28) assuming o is positive.\nAnswer: o**(-10402\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 13\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Suppose 0 = 5*u - 2*p + 26, -k*u + 2*p = -9 + 27. Which is the smallest value? (a) u (b) 0.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a + 48. Calculate b(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(-24)*8\/(-3). Suppose -r = -3*d - v - 1, -d - 1 = 0. Suppose -2 - 3 = -5*n, -3*z - 2*n + 8 = 0. Solve r = z*i + i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.08871744 rounded to four dps?\nAnswer: 1.0887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 12129.\nAnswer: -24258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -236, -487, -718, -917, -1072?\n\"Answer: 2*y**3 - 2*y**2 - 259*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 6*s + 4. Let u(k) = s + 0 - 2*k + k - 8. Let h(r) = -r - 7. Give 5*h(t) - 6*u(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(21)\/sqrt(112))**2) + 3 + 5.\nAnswer: sqrt(3) + 125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-8 + (-3 - -11 - 4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/15 (b) -1 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2132956 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/120 + t**5\/10 - t**4\/8 - 19*t**3\/6 + 1161*t**2. Determine c(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1050 - 1151.4. Let t = 43.8 + w. Let k = t - -57.600441. Round k to 5 decimal places.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 402375421 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**3 - 6*l**3 - 14*l**3 - 12*l**3 + 36*l**3.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f - y = -25, 4*f + 14 = 2*y. Let x(i) = -i - 4. What is x(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**4 - 14315 + 14317 + 2609*p - 286*p**3 + 285*p**3 to the form d + o*p**3 + g*p**4 + k*p + j*p**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 35*o + 110. Let k be j(-3). Sort k, -34, 2, 1 in descending order.\nAnswer: k, 2, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 b when three letters picked without replacement from {j: 1, p: 4, b: 3}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206926 and 13502.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51016013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 702001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(85) - 1*sqrt(85)))\/sqrt(5)*-1 - (-2 + sqrt(17) + 4 + 5 + sqrt(136)\/sqrt(8)))*3)**2.\nAnswer: 252*sqrt(17) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 46*z + 36. Let l be i(45). Let u(w) = -2*w + 5. Calculate u(l).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2. Let d(j) be the second derivative of j**4\/6 + 12*j. Calculate f(d(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -7. Suppose u = 41*x - 36*x. Suppose x*y + 57 = 22*y. Solve y = -3*h + 9 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6\/56575 - 43505623\/5204900. Let b = 9\/23 - g. What is the common denominator of (-27)\/(-2) - (-14)\/(-7) and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/720*-8*(-10)\/12*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3))**31)**(-22) assuming d is positive.\nAnswer: d**(682\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/(28\/294). Suppose 0 = -l*m + 5*m + 6. Calculate the remainder when 8 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-36)*2 - (10 - 573\/27)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 + -102.82. Let p = n - 3.28. Let y = p + 5.1. Which is the closest to 0.4? (a) 2\/11 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-1 - (-2)\/(-2)). Let c(h) be the first derivative of -2\/27*h**q - 2\/9*h**2 - 2\/9*h - 1. Factor c(n).\nAnswer: -2*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*f - 170 - 439 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-540))\/(1\/(-21))*(-486)\/(-54).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2. Let i(q) = 5*q**2 + 6. Let a be (-2)\/7 + 88\/14. Let u(y) = -4*y**2 - 5. Let p(k) = a*u(k) + 5*i(k). What is p(g(c))?\nAnswer: 49*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of i**2*q + 10824*i*q*z - 5*i*q + 4*i - 11*q*z + 276*q - 5*z wrt i?\nAnswer: 2*i*q + 10824*q*z - 5*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27, 61, 109, 177, 271?\n\"Answer: m**3 + m**2 + 24*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -4 (c) -2\/3 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 0*w)*(-3 - 1 - 4)*(89*w**2 - 176*w**4 + 173*w**4 + 1 - 2).\nAnswer: -24*w**5 + 712*w**3 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**4\/15 - 3668*w**3\/15 + 572686*w**2\/5 - 6653752*w\/3 + 32905960\/3 = 0.\nAnswer: 10, 907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Let f be 4 + r - (1 - -1). Suppose 3*o = -f*o + 115. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 10. Let t be (1\/(-2))\/(2\/(-3)). Which is smaller: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 + u**2 + 2*u + 1. Let i be z(2). Let l = i - 25. What is the smallest common multiple of 8 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 18 = 5*a, 5*u - 2 = 2*a - 5*a. Suppose 8 = -4*y, -z + 1876 = -3*z - 5*y. What is the hundreds digit of (-2)\/a - 2*z\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 682 - 452. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 2. Let u(a) = -6*a - 55. Let z(m) = -m - 13. Let y(w) = -2*u(w) + 9*z(w). Calculate 14*b(x) - 4*y(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 3*k - 4. Let s(j) = -j**2 - j - 2. Give 7*s(d) - 3*x(d).\nAnswer: -4*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788480091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1340 - 1269. Solve -l + 73 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248 - 248. Solve m = -t - 3 + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7585, 60493, 204059, 483613, 944485?\nAnswer: 1632005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2. Let f(y) = -675441*y. Give f(a(m)).\nAnswer: 675441*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 56690.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 244*a + 3. Let d(w) = 3*w**2 - 487*w + 5. What is 3*d(l) - 5*n(l)?\nAnswer: 4*l**2 - 241*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1232 + 1312?\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 5*j**2 - 6*j - 4. Let b be d(6). Is 3 a factor of (18\/b)\/((-1)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130\/2337 less than 3\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2652.9 - -2901. Let j = -248 + m. What is the nearest to -2\/5 in -2\/15, 72, j?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.3864 and -62331518.\nAnswer: -62331519.3864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.4, -1804, -2\/17.\nAnswer: -1804, -2, -2\/17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25468.21 decades in years?\nAnswer: 254682.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2388426)\/(-9) - ((-312)\/(-36) + -9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -2, -3, 4\/3, -8, 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 m when three letters picked without replacement from {o: 3, v: 3, m: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2+0.398\nAnswer: -1.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -13\/5, 1\/4, 12, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by 6?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, j: 7}. Give prob of sequence dj.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 177.5 and -62.23?\nAnswer: 239.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/780 - 9*q**5\/130 - 27*q**4\/26 + 41*q**2 - q + 2. Suppose b(p) = 0. What is p?\nAnswer: -18, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-225)\/(-150))\/(2\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1866618 and 702.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**3 + 7 + 30*t**2 - 65*t**2 + 6*t + 33*t**2. Let x(l) = -3*l**3 + 2*l**2 - 6*l - 6. Let p(s) = 4*u(s) + 5*x(s). What is p(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2627532?\nAnswer: 2, 3, 24329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3807 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*q + 334 = 0, -350 = -3*v - 4*q + 5*q. What are the prime factors of (42\/(-6))\/((-2)\/v)?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = b - 4*b. Let a(y) = -b - y + 4*y - 4*y. Let v(w) = w + 1. Let z(q) = a(q) - v(q). Determine z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*f + 1. Let k = -350 + 358. Solve k*d = f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5cb (base 16) to base 11.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3026752 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 617272.4835 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 - 4*n**4 - 2*n + n**4 - 2*n to the form i*n**2 + u*n**4 + l*n**3 + v + f*n and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 349080606 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 18385.\nAnswer: -18390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 29. Suppose -2*r = 2*r - 16. Let l be 2\/4*4 - -3. Solve l*m - 41 = r*f, -a*m - f = -5*m + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 18. Let t(q) = -q**2 - 4*q - 6. Let r be t(-6). Let g be c(r). Suppose g = -2*z - 2*z + 296. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/13)*t*t\/(t**(-1\/12)*t) assuming t is positive.\nAnswer: t**(181\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/12401595?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 2, c: 2}. What is prob of picking 1 v and 1 d?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 4:30 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 297\/8245 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000769663277 to 7 decimal places.\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {z: 7, n: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(52)*-1 + 3))**2.\nAnswer: -192*sqrt(13) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1955 is divided by 956?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 1 (c) 2\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2023224441 (base 5) to base 6.\nAnswer: -224130252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-40)\/(-60)*(5 - 2). What is the remainder when 37 is divided by (1 - (2 + 3))\/(x\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548204486?\nAnswer: 2, 683, 401321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4)*(83 - 98) + -19 + 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 + 5. Let m(p) = 3*p**2 - 6. Let n(j) = -5*m(j) - 6*w(j). Let a = -7 - -10. Let x(z) = a*z**2 - z**2 - z**2. What is n(x(h))?\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 457477489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 198 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -12\/6624073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 387 + 0.2.\nAnswer: 387.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 447, 579, 947, 1671, 2871, 4667?\n\"Answer: 20*c**3 - 2*c**2 - 2*c + 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/28 + 51\/7. Let c(k) = -k + 5. Let i be c(l). Let m be (i\/(-14))\/(6\/(-18)). What is the third smallest value in 4, m, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 10*x**2 - 78*x**2 - x - 21 as m + j*x**2 + u*x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35b - 20?\nAnswer: -37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/(-60)*(-2586)\/(-29739)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = g + 14. Let p(a) = -2*a**3 - 14*a**2 - 3*a - 6. Let f be p(g). Solve -l = 2*l - f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/187 + (4 - (-79)\/(-11))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16580517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -211\/490 + 3\/98. Let x = -2.7 - -3. Put 3, x, y, -0.5 in descending order.\nAnswer: 3, x, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.954718ml in litres?\nAnswer: 0.003954718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 188003171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 25*z**3 + 10*z**2 + 11*z + 13. Is f(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -399958*c*d**2*l**3 + 45*c*d*l**2 + c*l**2 - d**2*l**3 - 5*d**2*l**2 + 2*d**2*l + 2*d*l**2 wrt l?\nAnswer: -2399748*c*d**2 - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12172729?\nAnswer: 12172729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 472343.6ng to tonnes.\nAnswer: 0.0000000004723436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66233?\nAnswer: 107, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - -1) + 26 + -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**3 + 290*q**2 + 1560*q = 0. Calculate q.\nAnswer: -52, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1722304 * 60.3\nAnswer: 103854931.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f*w + f*y**3 + 17*f*y**2 - 61*w*y + 274*w with respect to y.\nAnswer: 3*f*y**2 + 34*f*y - 61*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1482, -2942, -4402, -5862, -7322?\n\"Answer: -1460*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in -17, 1420, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -5 + 0 + (-2 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -51*p - 92. Let i be d(-2). Suppose 6*t + 972 = i*t. Is t less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 4*z - 4*o - 85, -272 = -5*z + 2*o. Let q = z + -48. Let x = -149\/3 + 49. Which is the closest to q? (a) -5 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2303, -2886, -3249, -3392, -3315, -3018?\nAnswer: -2501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17630 and 3690?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-10 - (-28 - -12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l + 13. Let w be f(-7). Let t be 4 - (16\/(-4))\/w*-2. Solve -4*v = -0*i - i + 10, 0 = t*i - v + 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 380342709.00000052 + -380342717. Let c = k - -8. Round c to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -96, -187, -278?\n\"Answer: -91*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 - 112*r**3\/3 - 24*r**2.\nAnswer: -2*r**2*(r + 18)*(3*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2375, 172, 4417, 10360, 18001?\n\"Answer: 849*y**2 - 3224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 1\/24*w**4 + 0*w**3 - 10*w**2 + 0*w + 0. Let g(x) be the third derivative of -x**4\/12 - 6*x**2. Give g(n(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**(1\/10))\/f)\/(f\/(f\/(f\/(f\/(f**(-2)\/f))))))**(-4\/31)*f**4\/((f**(-2\/7)*f*f*f*f*f)\/f**(-3)) assuming f is positive.\nAnswer: f**(-4576\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 22656 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 21*n + 23. Let p be q(-20). Suppose 8 = p*v + 5*x, v = -4*x - 0 - 2. Solve -v*c - 12 = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.4, 12, 1\/550?\nAnswer: 1\/550","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + 2 + sqrt(11) + 1 + -2.\nAnswer: -5 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 184, -2\/7, -36?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 + 233 = 18*t. Suppose 0 = -6*x + 7*x + 2. Put x, t, -3, 5 in increasing order.\nAnswer: -3, x, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 152964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s**4 + 168585*s**3\/2 + 5957019*s**2\/2 + 3612495*s + 718284 = 0. Calculate s.\nAnswer: -34, -1, -1\/4, 14084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 253\/5 + -51. Let q = 99 - -198. Let f be (6\/10)\/(q\/110). Which is the closest to 3? (a) -2\/9 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 63 = -3*c. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1261\/5 + -251. Let x = -50.47 - -50.37. Sort w, -17, x in descending order.\nAnswer: w, x, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4 - 6 = 0. Suppose 5 - b = g. What is the third derivative of v**2 + 3*v**4 + 4*v**3 - 4*v**g wrt v?\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -3\/2*m**2 - 5\/3*m**3 - 1\/4*m**4 + 0*m + 66. Determine l(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*sqrt(2) + -3)**2*3.\nAnswer: -36*sqrt(2) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63, -212, -461, -810, -1259?\n\"Answer: -50*k**2 + k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 0 + 0 - 7680*x + 7678*x. Let s(n) be the first derivative of n**4\/24 + n**2\/2 - 1. Let v(b) be the second derivative of s(b). Determine v(l(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12044 and 656?\nAnswer: 1975216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 4*k + 7*k - 5*k**2 + 8*k**2 to d*k**2 + n + w*k and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19020*i**4 + 421*i**2 - 4*i - 11?\nAnswer: 456480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -5, -4, -0.7, -1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 38 = 4*z, -3*z + 0*d + 39 = 2*d. Suppose 0*w = -w + z. Let l(m) = 6*m - 6. Let p(j) = -j + 1. Determine w*p(q) + 2*l(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f - 210 - 28 = -2*p + 74, 3*p - 88 = 4*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 2*i**2 - 6*i + 1. Let c be u(4). What is the highest common factor of 81 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m - 18 = 0. Let r = m - -13. Suppose 2*n + 116 = r*b, n = b - 4*b + 97. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*q - 11*q - 13*q - 15*q + 9*q**3 + 71*q.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 20979 divided by -24637\nAnswer: -20979\/24637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 400 and 9520?\nAnswer: 47600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let f(h) = -1. Let y(a) = a**2 + 49. Let z(m) = -5*f(m) + y(m). Let c(p) be the first derivative of z(p). Calculate c(t(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, -40, -495, -1308, -2491?\nAnswer: -4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (312\/9)\/(-38*(-62)\/1767)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(102) - sqrt(102) - sqrt(102))\/sqrt(6) - (0 + sqrt(17))*3)**2*-4.\nAnswer: -2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 18*c + 283. What is the remainder when b(-13) is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*h**4*u**3 + 2550*h**4*u - h*u**2 + 3*h*u - 2*h - 283*u**3 wrt h.\nAnswer: -108*h**2*u**3 + 30600*h**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, 10, 36, 74, 124?\n\"Answer: 6*f**2 - 4*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16631715 is divided by 6512.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -6*v + 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 214711351*h**4 + h**2 + 39*h + 12904821.\nAnswer: 2576536212*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 5*q + 8. Let m be k(6). Suppose -3*z = 5*j + 7, -3*z - m*z - j = -25. What is the smallest common multiple of (-2)\/(-2*2\/16) and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(6\/(-3))\/2. Suppose b = -8*f - 4 + 36. Let v(l) = -7*l**3 - 3*l**2 + 4*l - 1. Let o(p) = p**3 + p**2. Let t(h) = -6*o(h) - v(h). What is t(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*f + 8 = 0, -4*k + f = 32 - 4. List the prime factors of k\/10*90\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -482*i + 777*i + 6195 = 0 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13372 + 14?\nAnswer: 13386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*u - 24, 2*p - 5*p - 4 = 2*u. Let c(y) = -y**3 - 8*y**2 + 3. Let n be c(-8). Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -32, -19, 10, 61, 140, 253, 406?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 706 and 92731688.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-42)*(-8 - -17). What is the third biggest value in -2, i, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4125 and -73\/375.\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-247 + 246)\/((-1)\/(-17))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1739 and 11224070.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, -0.3, 1.7, 3\/5, 1\/4, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cb + -2?\nAnswer: -1cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 19 = 7. Suppose -2*h + 12 + 15 = -3*m, 2*m = h - 12. Suppose 17*s + 2 = h*s. Solve 16 = s*b - 5*b - 2*r, v*b - 5*r + 2 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 + -31506787105357.\nAnswer: -31506787105356.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a - 6. Suppose 2*w + 20 = 6*w. Let x be y(w). Let n = x + -1. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 252 - 244. Suppose -5*n - 4*r = -20, -2*r - j = 3*n - 20. Let m = -2.96 - 0.04. Which is the second biggest value? (a) m (b) -2\/51 (c) n (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1251.965?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17360.56665 seconds to weeks.\nAnswer: 0.028704640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 at least as big as 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxxcxcxgxgg. What is prob of sequence ggg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 1. What is z(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12092.08 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 381108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2083, -4162, -6249, -8350, -10471?\n\"Answer: -r**3 + 2*r**2 - 2078*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.9, 0.11, -0.1, -0.2, -9, -5 in increasing order.\nAnswer: -9, -5, -2.9, -0.2, -0.1, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from lplplllllll.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13365, -26813, -40255, -53691, -67121?\n\"Answer: 3*z**2 - 13457*z + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**3 + 5*n - 5. Let o(x) be the third derivative of x**6\/40 - x**4\/6 + 2*x**3\/3 - 10*x**2 + 150*x. Calculate 3*g(a) + 4*o(a).\nAnswer: 3*a**3 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from qvbtq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (490\/(-1225))\/(8\/30).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -6.1.\nAnswer: -79.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -7. Find the second derivative of q*r**2 - 21*r**2 - 10*r**2 - 24*r - 8*r**2 wrt r.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3838 (base 13) to base 5\nAnswer: 223430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (827\/3)\/(10*(-9)\/(-270)). Let s = c + -452. Is s a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/33)\/1)\/(138\/(-207))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.6305337 centimeters?\nAnswer: 0.000006305337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*p - 56*p + 45 = -3*g + 56, -5*p + 11 = 4*g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*a - 9 = 8, -13 = 2*y - 5*a. Suppose 5*l + 1 = 6. Let v be (l\/2)\/(2\/(-4)). Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2 + 0 + 0 - 10*k - 1. Let v = -5 + -2. Is y(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 12*o - 6. Let z be p(-5). Suppose -2*c = z*c - 8394. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*m - 257 + 257.\nAnswer: -92*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/8, -2801, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1104*n*p**3 - n*p**2 - 58*n*p + 3*n wrt p.\nAnswer: -6624*n*p - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -66, -4 in decreasing order.\nAnswer: -4, -11, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (100 + 179 + 611 + 920 + 48)*(-36*s - 20*s + 20*s) as v*s + x and give v.\nAnswer: -66888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(2 + 0) - 711. Calculate the common denominator of 0 + q\/(-135) - 6 and -17\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 71 = 2*n. Solve 24*i = 26*i + n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 6. Suppose -p*l - 1378262 = -566262. What is l rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1237, 1176, 1115, 1054?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 599.3657 centuries?\nAnswer: 59.93657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 10*w - 4)*(2*w + 3*w**2 - 4*w - 2*w**2) to m*w**3 + a*w + c + v*w**2 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*-16 + 11\/(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 463704948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*p - 24 - 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66, 214, 450, 768, 1162, 1626?\n\"Answer: -u**3 + 50*u**2 + 5*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10022545, 10022549, 10022553?\n\"Answer: 4*x + 10022541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-3\/5)*j)\/j*j)\/(j\/(j*(j**4*j*j)\/j)))**(-35)*(j**(-3\/5)\/((j\/(j**(1\/3)*j))\/j))\/(j*j**(-1)*j**4) assuming j is positive.\nAnswer: j**(-3409\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -9. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/16)\/(-15*63\/51030)?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 14*t. Let x be m(0). Which is the closest to 1? (a) -5 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 7*t**4 + 21*t**4 + (-t**2 - t**2 + t**2)*(-3*t + 3*t - 2*t**2) + 4*t**4 - 9*t**4 + t**4.\nAnswer: 25*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4158047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {l: 1, t: 6, g: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -2 + sqrt(637))**2*3.\nAnswer: -168*sqrt(13) + 7656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/9))**4)**(-3\/23))**10 assuming n is positive.\nAnswer: n**(-80\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3) - 56\/(-12). Suppose -2*i + 32 = -w*o, -3*i = -2*i - 2*o - 14. Suppose 5*f - 1 = -i. Which is the second smallest value? (a) 1 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 6*w + 45*w)*(-2*w + 1 - 1) to the form u*w**2 + c*w + h and give u.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 plus 13.15?\nAnswer: 401.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 216395797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81096, 81078, 81060, 81042, 81024?\nAnswer: 81006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*r + 480, -s + 8*r = 11*r - 156. Suppose -164*k = -s*k - 908. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8 (b) -118.9 (c) 149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/3)\/(-10))\/(20\/5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -198?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61329*i**3*k - 5*i**3 + i**2*k - 44*i**2 - 186*i*k - 2*k wrt i?\nAnswer: 367974*k - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6))\/(5*(-3)\/2). Let k(r) be the second derivative of -3*r + 3\/10*r**5 + 2*r**2 - r**3 - s*r**6 - 1\/6*r**4 + 0. Factor k(j).\nAnswer: -2*(j - 2)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h. Let r(u) = 527*u**2 - 187. Let w(o) = 17*o**2 - 6. Let l(b) = 6*r(b) - 187*w(b). Determine l(a(c)).\nAnswer: -68*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(-6)*(-114)\/5. Suppose h - 72 = 4*y. Let u(o) = 90*o**3 + 2*o**2 - 3*o + 2. Is 27 a factor of u(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14\/433 - -22474\/1299. Factor 2\/3*t**2 + 338\/3 - f*t.\nAnswer: 2*(t - 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 596 + -594. Let p be -2 - (10\/2 + -7). Solve -w + x = -p for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4\/6 + 5*z**3\/6 + 14*z**2 + 122*z\/3 + 104\/3 = 0 for z.\nAnswer: -4, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/6305, -0.1, -3\/2, 5, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 520 = -5*r, 0*r - w - 217 = 2*r. Let m = 238 + r. Calculate the greatest common divisor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 3*r**2 + 3*r + 2. Let v be z(3). Let a = 11 - v. Suppose a = 2*l - 2 - 30. Solve 0 = -3*t - 2*x - l, 0 = -0*t + t + 2*x + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 0 + 0*m**2 - 16\/5*m + 1\/5*m**3 = 0.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + 0 + -5 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/15 - 10666*x\/15 + 139672\/5.\nAnswer: -2*(x - 39)*(x + 5372)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48249 is divided by 416.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22\/855 - -10949\/6840. Let d = -21\/16 + 233\/80. Find the common denominator of d and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 + 28*i**3 - 68*i**2 + 68*i - 24.\nAnswer: -4*(i - 3)*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1 (c) 1.214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 902.5.\nAnswer: -5415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3395 is divided by 1681?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**(-1\/5)*n)**6)**(-1\/9))**(-35) assuming n is positive.\nAnswer: n**(224\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -1)*1 + 0. Suppose s - 5*s - 84 = k. List the prime factors of s\/(-6) - (-1)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -467*d**3*i**3 + 48*d**3*i**2 + 49*d**2*i**2 + 6*d*i**2 + 2*d - 34*i**3 wrt i.\nAnswer: -2802*d**3 - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 5) to base 4.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2*p - 3*l, 3*p - 133 = -4*l - 95 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 31*x**2 + 53*x**2 + 9 to the form y*x + i + z*x**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z + z - 6*z. Let m(u) be the second derivative of 143*u**4\/4 - 14110*u. What is d(m(b))?\nAnswer: -858*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/9 - 54\/486. Suppose -4*h = f - 6, 0 = -2*h - f - 2 + 4. Which is the smallest value? (a) h (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -64782.03.\nAnswer: 32391.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2\/(z\/(z*z*(z\/(z\/(z*z*z*z**(1\/6)))*z)\/z*z*z*z))*(z**0)**22*(z\/z**1*z)**(-2\/15)*(z*((z**(-1)*z)\/z)\/z)**2 assuming z is positive.\nAnswer: z**(211\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 479081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31778960 is divided by 382?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 1:27 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 7. Let r(p) = -p**2 + 6*p + 3. Let s(d) = 6*d**2 - 31*d - 15. Let f = -45 - -34. Let g(c) = f*r(c) + n*s(c). What is g(-6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*1 + (8 - 8). Let b(l) be the second derivative of -l**5\/10 + l**4\/12 - l**3\/6 + 3*l**2\/2 + 9*l + 9. Let f(y) = y**3 - y**2 - 2. Give o*f(m) + 2*b(m).\nAnswer: -m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v - 1. Let t(q) = -q. Give -2*m(g) - 11*t(g).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -54*l**5 - 11718*l**4 - 641538*l**3 - 633746*l**2 - 210384*l - 23328 = 0.\nAnswer: -108, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 3. Let w be y(0). Let x be 633 + w - -2 - -3. Suppose -2*r + r + v = -212, -3*r + 2*v = -x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = 3*s. Let y(u) = 17*u**2 + 5*u - 1. Let v be y(s). Suppose q = l + l - v, 4*l = -q + 511. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**2 + 32*z + 7. Let w(l) = l + 28. Let o be w(-13). What is the units digit of h(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 58. What is the greatest common divisor of h and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - q**4 - 2*q**2 - 2*q**4 - 3*q**3 + 3*q**3 + (2 - 2 - 2*q)*(3*q**3 - 3*q**3 + 2*q**3) + 4*q**4 - 157*q**3 + 157*q**3.\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 176\/33 + 2\/(-6). Suppose 5*d - 26 = -3*t + 4*t, -2*d = -4*t - 14. What is the third derivative of 2*o**n - 3*o**2 + 2*o**d - o**2 + 3*o**2 wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 10, l: 2, e: 1, p: 1}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 8. Let o = b + -5.03. Let p = 1.97 - o. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -4.1. Let h = 0.05 + -4.05. Let l = 3.6 + h. Which is the third smallest value? (a) t (b) l (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4607)\/(-5691) - (-2)\/(-3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-11)\/(-44))\/((-2)\/2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.639 hours to seconds.\nAnswer: 124700.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from mpmoyzh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 152\/5. Let m be (6\/(-63))\/((-27)\/(-162)). Let x = -7 - -12. What is the third biggest value in m, i, x, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4667, -9322, -13937, -18506, -23023?\nAnswer: -27482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -423442*x**3 + 2666195*x**2 - 2 wrt x.\nAnswer: -2540652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6224 (b) -5\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-49)\/8 + (-9)\/(-72). Let o(y) = 249*y - 38. Let h(i) = -123*i + 19. Let k(z) = t*o(z) - 11*h(z). What is the first derivative of k(c) wrt c?\nAnswer: -141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 764273800 to the power of 1\/3, to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 5*j**2 - 1. Let d be f(-5). Which is bigger: d or -1\/63?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 0*f - 4. Is f\/2 - 149\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.8 + 5.346008?\nAnswer: 72.146008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -39, 1, 4\/7, 1.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-9 + 231\/22)\/3. Sort 4, 8, -6, d.\nAnswer: -6, d, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (825\/(-110))\/((9\/15)\/(2\/(-15)))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/12 and 5\/(-10) + (-10)\/96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j - 2. Let a be w(-2). List the prime factors of a\/(1 + (-100)\/108).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 737952197 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4112, 16419, 36930, 65645, 102564, 147687, 201014?\n\"Answer: 4102*j**2 + j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53965, 107912, 161813, 215656, 269429, 323120?\nAnswer: 376717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/48*54\/(-135).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3486)\/693)\/83)\/(1\/3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2 + 4*n + 3*n + 2*n. Let m be -1 + (-3 - ((-16)\/(-4) - 11)). Let z(x) = 5 - 1 - 8*x + 4*x - m. Calculate 6*f(h) + 13*z(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37666147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5 - 160*h**4 + 8246*h**3 - 85196*h**2 = 0. What is h?\nAnswer: -118, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 12:48 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27*(-8)\/(-96)*4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1486637 (base 11) to base 13.\nAnswer: -6acb42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c = 3*u - 20, -8 = -2*c - 5*u. Let p be 138 + (3 - (-2 + c)). Suppose 0 = 4*q - 12, 2*n - 3*q - p = -2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11566 and 21559334?\nAnswer: 21547768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-106)\/(-10) + (-2)\/(-5). Let n = -6 + v. Let u = -7105 - -7110. Is n <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**5 + 973417*g**4 + 1849*g + 130?\nAnswer: 40*g**3 + 11681004*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*n + 8. Let s(b) = b**3 + 2*b**2 - b. What is s(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-10)*(-4)\/(-16)*10. Suppose 0 = 5*i - b*g - 220, i + 0*i - 3*g - 55 = 0. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(-4*sqrt(6)) + (sqrt(17) - (sqrt(272)*-5)**2) + -3.\nAnswer: -6803 + 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 75682.8 - 5.5953939\nAnswer: 75677.2046061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 80*w**2. Let i be b(1). Let n = i + -76. Calculate the least common multiple of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5223959 to the power of 1\/2, to the nearest integer?\nAnswer: 2286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 23 = d + 6*o, 25 = 5*o. Sort -1, d, -17, 5 in decreasing order.\nAnswer: d, 5, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 + 15*w**2 - 3*w + 13. Give s(-8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**4\/24 + m**3\/3 - 3*m**2\/2 - 1. Let b(w) be the second derivative of l(w). Calculate b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + -4 + 29 - (2 + -1 - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 62535 divided by -5685\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -1\/12*n**6 + 0 + 0*n**3 + 0*n + 0*n**5 + 1\/4*n**4 + n**2. What is the second derivative of r(m) wrt m?\nAnswer: -60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22580097888 - -22580098194.499998533. Let o = f + -306.5. What is o rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 30, -5, 2\/6139?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - 86. Let m = b + 149. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -184.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -29. Let i = -8 + 6. Sort -4, i, o in descending order.\nAnswer: o, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**6\/90 - 2*g**3\/3 + 2. Let t(n) be the third derivative of k(n). Is t(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 1 = -6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, x: 4, y: 2}. What is prob of sequence yy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 + a**2 - 4*a**2 + (-2 + 2 + 1)*(a**2 + 2*a**2 - 5*a**2) + (-4 - 3*a + 4)*(-5*a + 2*a + 4*a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8915 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 686607795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17353 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 3 (c) 12 (d) 1\/18 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 165? (a) 15 (b) -1.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g + 36*g**2 + 21*g**2 - 48*g**2 - 6*g**3 as n*g**2 + p + k*g**3 + s*g and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48534*w**3 + 97001*w**3 - 48496*w**3.\nAnswer: -29*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/21)\/(18\/(-189)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5243 and 0.12?\nAnswer: 629.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 438720909 a multiple of 3383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (14 - 17 - (0 + -1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 - 2061*r**3 + 2055*r**2 + 2061*r - 2058.\nAnswer: 3*(r - 686)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1203133 to the nearest ten thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 16. Let l = u + 1. Let j(a) = -a**3 + 8*a**2 + 12*a - 10. Let m be j(l). Solve 4*w = -h + 16, -5*h + w + m = -0*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f + 7 = 35*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1)\/(1\/(-67)). Suppose a - 403 = g + 3*g, 2*a = 4*g + 406. Let b = q - g. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 537*u**2 + 2*u - 3. What is the units digit of b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 + 349393*z**2 - 12579409*z + 12230015.\nAnswer: (z - 35)*(z - 1)*(z + 349429)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 + 9*t + 45. Let v(d) = -4*d**2 - 8*d - 53. Give -6*s(a) - 5*v(a).\nAnswer: -10*a**2 - 14*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 72 + 28 = 0. Let c = u - -31. What is the remainder when 32 is divided by (-6)\/9 - (-46)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2502*s + 2499*s = -6. Solve 0 = -3*g + 5*l - 6*l - 19, 5*g + 17 = s*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 406 and 3074?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1054 - -1076. What is the least common multiple of p and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-2\/13))\/n*(n\/n**3)\/n)\/(n\/((n**3\/n)\/n)*n**3)*(n**(-1\/2))**26\/(n**(-2\/3))**(-11) assuming n is positive.\nAnswer: n**(-982\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) -1 (c) -3 (d) -4.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9792 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 2*q**2 - 4*q - 1. Let c be t(3). Suppose -3*m - 5*r - 22 = 0, -4*r = 3*m + c - 6. Let s = 5 + -9. Sort m, 0.5, s in increasing order.\nAnswer: s, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 16024775670 to the nearest one hundred thousand.\nAnswer: 16024800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (-13 - (10 + -40))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qd when two letters picked without replacement from {d: 2, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*w**2 - c**2 + 5*c*w**2 + 1384838*w**2 - 301*w - 3638 wrt w.\nAnswer: -4*c**2 + 10*c + 2769676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/11 - -29\/187. Let o = -2183 - -2189. Put o, 1, t in descending order.\nAnswer: o, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/r**(6\/5)*r*r**(2\/11)*r*(r\/r**(1\/4))\/r**0 assuming r is positive.\nAnswer: r**(821\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 226348 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 11*i**2 - 4*i - 4. Is r(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9323, -9182, -8939, -8588, -8123, -7538, -6827, -5984?\nAnswer: -5003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 12*r**2 - 10*r - 12. Let k(q) = 3*q**3 + 37*q**2 + 29*q + 32. Let f(b) = 2*k(b) + 7*m(b). Calculate f(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 112*k**2 - 27*k - 3027. What is n(-112)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -2 - (-26208)\/14610. Let i = t - -3\/487. Calculate the common denominator of i and 57\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 9\/5*z**2 - 2*z - 14\/5*z**3 + 49\/30*z**4 + 0. Suppose k(j) = 0. What is j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/28899 and 35\/3879.\nAnswer: 12455469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2126+3688\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 119410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-600)\/1680*(-21)\/(-150)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47583581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 4. Let y be f(-11). Let j(k) = -k**2 - 5*k - 7. Let n be j(y). Let u = 27 + n. Calculate the smallest common multiple of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f**2 - 2. Let l be m(1). Let t = 13 + l. Find the third derivative of 5*j**3 + 5*j**2 + 4*j**3 - 5*j**2 + t*j**2 wrt j.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225 - 230. What is the smallest value in 0, u, -6, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 635104, 1270189, 1905274?\n\"Answer: 635085*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Suppose 4*s + 2*p - 6*p + 8 = 0, -4 = 2*s + p. Let z = -1 - s. What is the highest common divisor of a and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*y - 186 = -34 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - -f?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*x - 84, 158 = -4*y + 8*y - 2*x. Is 37 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -23*c**2 - 1389*c - 40. Calculate the least common multiple of s(-59) and 22.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10302374 is divided by 17344.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2485 - -2463) + -1 + 46\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**2 + 4*v. Let w(z) = 3*z**2 - 3*z. Let f be -24*42\/(-112) - 5. Calculate f*w(g) + 3*p(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772181 divided by 4493?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 347 or 141\/160?\nAnswer: 347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43979*r = 43834*r - 7975 for r.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**3 - 4*c**3 + 11*c**3 - 2*c**2 - 9*c**3 + 6 - c + 3*c**2 to the form p + d*c**2 + l*c**3 + f*c and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-12)*9\/(198\/(-44))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18005 - -18263. What is the remainder when 436 is divided by y?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.03825622?\nAnswer: 0.007651244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 u when three letters picked without replacement from vuuuuuuuuuvu?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 69\/12 + 13\/52. Let g be i + (8 - 86\/6). Let v = -3 + 2.9. What is the nearest to g in 2\/11, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*s - 14 = 0, 3*q + 9 = -5*s - 0. Let r = 0.5 - 0.8. Sort q, 1\/8, r.\nAnswer: r, 1\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 978202530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k. Let j = 75 - 75. Let d(i) be the third derivative of j*i**3 + i**2 + 1\/12*i**4 + 0 + 0*i. Give d(v(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2854183032307\/1007611542 + -15352325\/5429. Let s be 2\/2 + (-79548)\/79542. Let x = u + s. What is the common denominator of x and -13\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2, -0.1, 0.4, 0.1, 0.955?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.89 - 5.89. Which is the fourth biggest value? (a) s (b) -0.21 (c) 0 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 200*s. Let j be h(25). Round j to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -1\/3*f**3 + 0 + 1\/4*f**4 - 9\/2*f**2 - 8*f. What is the units digit of r(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3955*q + 42673 = 145503 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 429?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -27, -58, -115, -204, -331?\n\"Answer: -o**3 - 4*o**2 + 8*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*y**2 + 6*y**4 - 5*y**4 - 4*y**4 wrt y.\nAnswer: -72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*k + 2608, 2*b + 652 = 3*b - 4*k. What is the remainder when b\/28 - 4\/14 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -719784 divided by -156\nAnswer: 4614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 43*l**2 + 44*l - 350. Calculate x(43).\nAnswer: 1542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pizp when four letters picked without replacement from pfpffifzppd?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 8*z + 2. Let k be v(-8). Let m be (-2)\/7*(k + -1). Is 0 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-9) - (-50)\/(-6). Let b = i - -12. Let n = -8 + 14. What is the least common multiple of n and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*11\/66*5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a milligram in micrograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125142249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 12 + 13. Suppose 0*s = -m*s + 95. Let v = s + -6. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 153742? (a) -3\/7 (b) 0.4 (c) -2 (d) 0 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267*s**4 - 12*s**2 + 2*s - 7063 wrt s?\nAnswer: -3204*s**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 847.6846 from 53.\nAnswer: -794.6846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r + 1 = -54 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 21*y**3 + 15*y**2 + 15. Let s(f) be the first derivative of -3*f**4\/4 - 2*f**3\/3 - 2*f + 174. Give -15*s(n) - 2*w(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100412 + 100443. Let j = 98 + -41. Calculate the remainder when j is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2308436 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126843081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 485*y**4 - y + 8*y**2 + 57*y**3 + 246*y**4 + 242*y**4 - 32 as z*y**4 + m*y**3 + u + n*y + s*y**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1078 plus 188.4?\nAnswer: 180.2922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1528*t**3 + 1520*t**2 + 396*t**4 + 8*t**3 + 3581*t**5 - 3577*t**5 = 0. What is t?\nAnswer: -95, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 24 + 0*k - 40936*k**3 + 40940*k**3.\nAnswer: 4*k**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1977676 + -2?\nAnswer: -1977678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*n**3\/3 + 14855*n**2 + 1425920*n\/3 - 192500 = 0. What is n?\nAnswer: -1750, -33, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26556947 - 466.58994.\nAnswer: 26556480.41006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2 = 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11112)\/744 - (-24 + 9).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 83664.\nAnswer: 167328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9185)\/(-14) - (-16)\/((-3360)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:58 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 5 - (-5 + -13 + 26 - -45 - 2).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -16050*j**2. Let h(k) = -366*k. Determine h(g(f)).\nAnswer: 5874300*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 less than 0.0497377?\nAnswer: 1.1497377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -9*g + 6. Let v(x) = -16*x + 10. Let l(k) = -24*k + 15. Let s(n) = 5*l(n) - 8*v(n). Calculate -6*a(t) - 7*s(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 455, 909, 1363, 1817, 2271, 2725?\n\"Answer: 454*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2507 and -56.35.\nAnswer: -141269.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - r**2)*(3*r**3 - 3*r**3 + 2*r**3) - 20246*r**5 + 27337 + 27333 - 54670.\nAnswer: -20248*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/14*(-1316)\/235?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) - 130\/(-18). Let j(l) = 7*l**2 + 18. Let k(r) = 3*r**2 + 9. Let c(u) = -2*j(u) + 5*k(u). Is c(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2759.\nAnswer: 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -3, 0.5, 5.56, -4\/3 in ascending order.\nAnswer: -3, -4\/3, 0.02, 0.5, 5.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75070 and 16456.\nAnswer: 617675960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60167938?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**2 + 36*a + 36. Let b(o) = -o**2 + 7*o + 7. Let c(z) = 16*b(z) - 3*h(z). Let x be c(-6). Let p = -85 - x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8957 - -2b?\nAnswer: -892b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0099349849 to 6 decimal places.\nAnswer: 0.009935","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 161169457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 966*t + 739958. Determine v(-766).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0559269ml to litres.\nAnswer: 0.0000559269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8835 and 211994058?\nAnswer: 1767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r**2 + 106*r**2 - 80*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(405)*5 - (-5 + -1 + sqrt(5) - (sqrt(20)\/sqrt(4) + 1)).\nAnswer: -45*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4 + 9 = 0. Let r = 0.0437 + -0.3437. Which is the third biggest value? (a) l (b) 4\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-77)\/154 + 3\/2*-1. Let j be a\/40*-15 + (-1)\/1. Let m = -0.3 + 0.3. What is the second smallest value in m, -11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1501, 2886, 4271?\nAnswer: 5656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397 = 43*t - 3665. What is the lowest common multiple of 76 and t?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19127 - 18542 = 45*y for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -172 or 0.02?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101533627 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68200 and 997208?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + -80 - (10 + -3 + 0).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*o + 475, o = -0*v - 4*v + 400. Let s = -304 + 324. What is the remainder when v is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30068 + 30068. Solve m = -2*j - 6*y + 9*y, -7 = -5*j + 4*y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 3*y + 3. Determine o(5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -140969, -140963, -140955, -140945?\n\"Answer: f**2 + 3*f - 140973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(1\/8)))\/(s*s*s**(2\/5)\/s)*(s**(-25)\/s*s)\/(s\/(s\/s**(-7\/6))) assuming s is positive.\nAnswer: s**(-3013\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/25 and -34\/55?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/6*(-6)\/14*397\/((-38906)\/(-252))?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30350, 60699, 91048, 121397?\nAnswer: 151746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4737118 and 8?\nAnswer: 18948472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 259, 3, -2 in descending order.\nAnswer: 259, 3, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 281*f**2 - 2*f**3 + 11*f + 4*f**3 - 71*f**4 - 282*f**2 + 76*f**4 as l*f**4 + w + j*f**3 + y*f + k*f**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 288\/(-567) + 2\/9. What is the biggest value in l, 5, -0.2, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2. Let p(r) = 2*r**2 - r + 1. Let t(c) = 14*c**2 - 3*c + 4. Let s(y) = 3*p(y) - t(y). What is w(s(a))?\nAnswer: 256*a**4 + 64*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 12:31 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14880 by 4960.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000 + -110011100011101001?\nAnswer: -110011100010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*a = 23715633 + 36474622. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)\/n)\/n*n*n*n*n\/(n\/(n\/n**(-3\/5))*n)*n*(n\/n**(-1\/3))**(2\/57) assuming n is positive.\nAnswer: n**(1693\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253 + -247. Suppose -3*b + 5*t = -70, -m*t = 2*b - 4*t - 36. What is the least common multiple of b and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - x**4 + 7*x - 19 - x**2 - 13 to o*x + u + h*x**2 + i*x**4 + n*x**3 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrhrhvrrvhhrhhhhh. What is prob of sequence hrvh?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 19. Let o = p - -20. What is the units digit of (26\/4)\/(9\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -30. Let y(m) = 2*m - m + 5 - 4. Let t be y(-5). Put 3, t, d in descending order.\nAnswer: d, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -193.\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -3, 3\/19, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -10 - (5 - 0 - 5)) + 90 + -30.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/213?\nAnswer: 4\/213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152172 is divided by 895?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119 - -122. Solve -x*t = -6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251 + -236. Let k = -25 - -10. Let y = k + t. Solve 0 = 3*i - 15, 5*x - i - 4*i + 45 = y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/504 and -123\/560?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/10 - 177858\/(-21690).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9047, 36186, 81409, 144704, 226059, 325462, 442901?\n\"Answer: -2*p**3 + 9054*p**2 - 9*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -51927 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 + 164*x\/9 + 3362\/9.\nAnswer: 2*(x + 41)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 + 51088*j**2 + 1173148*j + 3059760.\nAnswer: 4*(j + 3)*(j + 20)*(j + 12749)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 321, 67, -1, -17 in decreasing order.\nAnswer: 321, 67, 6, 3, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*b + 10. Let r(h) = h**2 - 5*h + 6. Let v be r(4). What is the third derivative of -4*u**5 + 3*u**b + 0*u**v - u**2 wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9841890 is divided by 24361?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -12340 and -12280 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 2\/7, -609, 1, -1\/123?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -212 + 217. Which is the closest to 3.8? (a) -5 (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 21. Let u be -4*(0 - (-14)\/l). Is (-1)\/1 + u\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/13))\/c**4)\/((((c\/c**4)\/c)\/c)\/c*c*c\/((c\/(c*c\/(c*c**(-7\/5))*c*c))\/c*c)) assuming c is positive.\nAnswer: c**(-166\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2. Let b(f) = -37*f - 2. Give b(x(p)).\nAnswer: -148*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-110)*(-10)\/(-4). Let w = 20 - 7. Let d = w + -12.6. Which is the smallest value? (a) 0 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*p - 6*p - 21*p)*(4 + 14 - 5) to the form u + x*p and give x.\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98472.457 + 2.\nAnswer: 98474.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2354663 is divided by 27379.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/24 - (-5)\/(-12). Let p = -3\/13 + 7\/143. What is the nearest to m in p, 0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(-2*(1*sqrt(2268))**2 + sqrt(280)\/(sqrt(10) + (sqrt(80) + 1*sqrt(80))\/sqrt(8))) + 2.\nAnswer: -18141 + 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**3 - 3*u**3 + 7*u**3)*(-u + 3*u - u).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-21)\/(-195))\/(4\/(-5)). Let j = 3\/26 - r. Is j at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196402 to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*f + 2*b - 45, 2*f - 52 = -3*b. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669200 is divided by 207?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.233554025 rounded to 2 dps?\nAnswer: 6.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {v: 5, b: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcgc when four letters picked without replacement from {g: 8, c: 8, p: 4}.\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 2*f + 6 = 0, -4*f = -7*k + 4*k - 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + 3*k - 2*k + (-1 - 2*k + 1)*(5 - 2 - 1) + 2 - 2 + k)*(424 + 28 + 224) in the form s + j*k and give j.\nAnswer: -2704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18260000 rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + 1. Let k be 8\/14*4319\/(-12340). Let m = -19\/15 + 8\/5. Put k, m, s in descending order.\nAnswer: s, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65021852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/(c*c**2))\/(c**(-2\/3))**(1\/50) assuming c is positive.\nAnswer: c**(76\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -200*r**3\/3 - 15554080*r**2\/3 + 3110834*r - 466626 = 0.\nAnswer: -77771, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1488486 and 906.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*((-4 + (0 + 1*sqrt(637) + 5)*-1)*-3)**2.\nAnswer: 3402*sqrt(13) + 19386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -35, -3, 5, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + (4*(sqrt(363) - 2*sqrt(363)) - sqrt(363)) + -1*sqrt(363) + -2 + sqrt(363))**2 + (sqrt(363) + sqrt(363)*-3*4 - sqrt(363))*3 + 4 + -5.\nAnswer: -220*sqrt(3) + 5811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*s - 94 + 94)*(-64 + 261 + 443 + 184)*(0 + 3 + 0).\nAnswer: -19776*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2)*(-12)\/(-9). Let y(n) = n**3 - n**2 + 3*n - 1. Is y(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wygygigggwg. What is prob of sequence iggg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4\/5, -0.12, 740, 2, 1.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95230089?\nAnswer: 3, 61, 89, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 135. Let t be l(0). Let y(b) = 8*b - 5. Let j be y(4). Calculate the highest common factor of t and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62513?\nAnswer: 11, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 26*a - 1. Let m(y) = -26*y + 1. Calculate 3*g(z) + 2*m(z).\nAnswer: 26*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*6\/30*(-2)\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.3 + -3486145.1?\nAnswer: -3486125.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 792675764 - 1.\nAnswer: 792675763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/518 and (2 - -10) + (-11174709)\/929292?\nAnswer: 23828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13095 and 5400.\nAnswer: 523800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 103 - -1?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1) + 2 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, 6, 0, -16 in descending order.\nAnswer: 13, 6, 1, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -735*h**2*t**2 + 197*h*t**2 - 2*h*t + 2*t**2 wrt h.\nAnswer: -1470*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 1, -198 in descending order.\nAnswer: 1, -131, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*l + 138 - 38, 60 = 2*k + 4*l. Suppose -5443 - 995 = -96*n - 78*n. Calculate the remainder when n is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 - 11 = 2*s. Solve 3*n - s = -n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2055.55 litres to millilitres.\nAnswer: 2055550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 436\/7 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-26)\/m**(-1\/12))**(-17) assuming m is positive.\nAnswer: m**(5287\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958 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: Convert -1ed (base 15) to base 14.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4144 and 96607?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r**4 + 296185*r**3 + 9773379*r**2 + 107504507*r + 394178312 = 0. What is r?\nAnswer: -296152, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 78*c - 1959339 = -319379. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 - -221 - (1 + -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -392806.26 rounded to the nearest 100?\nAnswer: -392800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 5, 37, 2 in increasing order.\nAnswer: -13, 2, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -0.049 (c) -2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 678402122 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 3*i - 3*i + (4 - 2 + 0)*(-1 + 1 + 2*i) + 6*i - 4*i - 4*i)*((2 + 1 - 4)*(-1 - 2 + 5) - 5 - 1 + 3 + 2 + 0 - 4 - 2 - 2 + 3)*(2*i + 0*i - i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -989210 by -197842.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*k - 35 = -0*k, -3*k - 15 = 0. Suppose 0 = -w*r + 1401 + 439. Is 93 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from xouubud?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 15. Let q(y) = 23*y + 20. Suppose t = 4*t - 6. Let s be q(t). What is the greatest common factor of u and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011111110 - -1?\nAnswer: 101011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -13*a. Let j(y) be the third derivative of -7*y**4\/3 + 2701*y**2. Give l(j(g)).\nAnswer: 728*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*(9*u - 5344 + 5344)*(0*u**2 - u**2 - 2*u**2) in the form v*u**3 + x + p*u + q*u**2 and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -95, 2\/755?\nAnswer: 2\/755","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 666471862 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152838225 divided by -50946075.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2970)\/(-300))\/((-216)\/(-720)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 64 - 8 = 0. Let u = 31 + p. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*f - 3*k = -617*f - 15, 5*f + 3*k = 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/6, 12, 0.2, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7362040.\nAnswer: 2, 5, 7, 26293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 34*d**2 - 197*d - 75. Let u be p(-39). Let m be -1 + 1 - (-1 - -1). Suppose m = -2*g + 4. Solve g*j = -5 - u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - 65*k**2 - 363*k - 25. Calculate the remainder when 838 is divided by p(-6).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (13 + -14) - ((-7 - 0) + 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 974*k**2 + 3*k**3 - 974*k**2.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96002363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 365 - -3. What is the remainder when h is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27931 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3565078.\nAnswer: 2, 11, 347, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17804, -17816, -17834, -17858?\nAnswer: -17888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 991*v**2 + 3656*v**2 - 7413*v**2.\nAnswer: -2766*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 6122494?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -488481 divided by -7\nAnswer: 69783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p*s**3 - 4*p*s**2 - 2*p*s - 11179*p - 149*s**2 wrt s.\nAnswer: -12*p*s - 8*p - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 14b7a49?\nAnswer: 14b7a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 18*l - 2. Let h(n) = -n. Let g be ((10 - 11) + -5)*(-2)\/(-6). Give g*h(t) - v(t).\nAnswer: -16*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3\/10)\/3 - (14 + 28577\/(-2050))\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13789 and 37.\nAnswer: 510193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095819?\nAnswer: 3, 31, 11783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -314, -536, -760, -986, -1214, -1444, -1676?\n\"Answer: -d**2 - 219*d - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5, -4*i + 0*i + 20 = 2*l. Suppose l*x + 5*v = -2*x + 8, -x + 7 = 4*v. Does 11 divide (0 - x)*-2 - -24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4326 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + (sqrt(99) + (sqrt(99) - sqrt(99)*-3) + sqrt(99))*-6 + sqrt(99))**2) + 4.\nAnswer: -114440 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010111011 (base 2) in base 16?\nAnswer: 2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11040000 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.7 - 9. Let i be (16\/(-6))\/(6\/(-9)). Sort i, 2\/11, m in descending order.\nAnswer: i, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/8 + (-1 - -3). Put 0.4, g, -1 in increasing order.\nAnswer: -1, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -215 + (-1 - (8 + -5 + -6)). Let h = w - -214. Solve -2*k + o = -h, 2 + 1 = 3*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 6*(-3 + sqrt(102)\/(sqrt(54) + sqrt(6))) + 5)*5)**2 + -5.\nAnswer: -1275*sqrt(17) + 32705\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 0 + 4*h + 0 + 1 + 2 + h**2. Let i be w(-5). What is the greatest common divisor of i and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4005 - 988. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 + 222*q**2 + 161 - 3*q - 2*q**3 - 207 - 220*q**2 + 3*q to the form t*q + r*q**4 + z*q**3 + k + v*q**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 883 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 241110 or 241124?\nAnswer: 241110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7.6. Let n = 0.67 - h. Let q = -0.26999978 + n. Round q to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6 = -216*n + 219*n, y + 8 = 4*n. Solve 0 = -o - 4*t - 18, -2 = -n*o + o + t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1 = 17. Suppose h = c*m + 21, -3*h = h - 20. Is m at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 + 6*j - 4*j**4 + 4*j**3 - 8*j - 4*j**3 - 1 to h*j**3 + w*j**4 + g*j + m + c*j**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from crioyprcccipppcrppyp?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -36f?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 14*d**3 - 3*d**2 + 3*d - 2. Let t be u(2). Suppose 4*s - i - t = -5*i, -4*s + 4*i = -72. Calculate the smallest common multiple of s and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -46. What is the third smallest value in r, -1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**4\/4 - 29*z**3\/6 + 33*z**2\/2 + 11*z. Is f(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -482 or -494?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4 + 77. Let k = 50 + o. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**5 + 1710*a**4 - 39566180*a**3 - 47435699510*a**2 + 429808602975*a - 382333339000 = 0. What is a?\nAnswer: -1745, 1, 8, 3139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -297 by 5.\nAnswer: -297\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = g - 90. What is the remainder when 70 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*(-42 + 77) + 1 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6 = 4*j + 2*c, 4*j + 12 = -4*c. Let p be 0\/(2*j\/2). Suppose 3*k + 11 = 2*w, 2*w + 0*k - 4 = -4*k. Solve -w*b = -8 - p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(154 - 142) + (-14)\/48?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 2*r + 34, 20 = 2*r + 3*r. Let t be 18\/4*9\/(27\/8). Let f = p - t. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**5\/60 - 7*r**4\/24 + 2*r**3\/3 + r**2. Determine f(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -1, 1\/4, 5.8, -0.1 in decreasing order.\nAnswer: 5.8, 1\/4, -0.1, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 4004 and 4004 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -12. Let o = 10 - w. Solve -2*c - o = v - 5, c = -3*v + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -455*z**6 + 2*z**2 + 22?\nAnswer: -54600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5200 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10 - 4)*(v**3 + 3*v**3 - 2*v**3) - 2*v**2 + 3*v**3 + 2*v**2.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9256 less than 3.8929?\nAnswer: -9252.1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (1*(sqrt(117)*-1 - sqrt(117)) + sqrt(117)))\/((sqrt(9) - sqrt(81))*-3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 179 + 82 = 0. Let p = -263\/3 - y. What is the closest to 3\/5 in p, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 9:24 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + 38 + -24.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/(49\/44478*-2). Let y = 304 + c. What is i in 4\/7*i**2 + 0 - 18\/7*i**3 - y*i**5 + 0*i + 24\/7*i**4 = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 3. Let u(r) = 7*r**3 + 2*r**2 - 2*r. What is the smallest common multiple of a(6) and u(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40282 - 73749 - 86632 + 2*q - 3*q.\nAnswer: -q - 120099","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2276068 (base 10) to base 4.\nAnswer: 20223223210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13618 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-v**2 + v**2 + v**2) + 4*v**2 + 0*v**2 + 2*v**2 + (-4 + 4 + 2*v)*(906 + 13*v - 40*v - 917).\nAnswer: -46*v**2 - 22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*1 + 2 - (-520608)\/(-43296)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:53 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o - 5*o + 14*o + 30*o**2 + o**3 + 3*o - 41*o**2. What is b(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19408950 divided by 1764450?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(((sqrt(68) - sqrt(68)*-4)**2 - sqrt(68)) + -4) - (0 + 2*sqrt(68) - (1 + sqrt(68) + 5))) + -4)*6.\nAnswer: -40692 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 174770 and 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 16191240 to the nearest one hundred thousand.\nAnswer: 16200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 18084 + 18084. Let a(o) = o + 10. Let g be a(-5). Let z(u) = 16*u - g*u + 2 - 2. Determine z(m(d)).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14)*(-3)\/(-2). Let h = 0.1 - 0.1. Let r = -0.5 - h. Which is the third biggest value? (a) k (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35508, -34525, -32886, -30591, -27640, -24033, -19770?\nAnswer: -14851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - 21*d - 29. Let z be t(-9). Let w be z + (-44)\/(-28) + (-2)\/(-14). Is w at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 3\/7, 0.7, 156.7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doqoppowspwpp. What is prob of picking 1 q, 1 d, and 1 w?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -195490.\nAnswer: -195489.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 4*a**3 + 788*a**2 + 42780*a + 380556 = 0.\nAnswer: -93, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**4 + n**3 - n**2 - n. Let b(x) = -4*x**4 + 36*x**3 - 91*x**2 + 99*x - 40. Let j(q) = b(q) - u(q). Factor j(p).\nAnswer: -5*(p - 2)**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1431675 and 5656?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14004 and 662517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) 2950 (b) 5 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**3 + 239*r**2 + 92*r - 2107. Give q(-47).\nAnswer: 2405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 0, -0.05, 7344.\nAnswer: -0.5, -0.05, 0, 0.2, 7344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:53 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59148226 - 248226. Round z to the nearest one million.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 111200012?\nAnswer: 111200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -57.8?\nAnswer: 53.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-6\/11))**(-35) assuming c is positive.\nAnswer: c**(-175\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*b + 9, -2*b + 4*l + 1 = -3 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 - -3. Suppose -z = 4*g - 92, 5*g + 40 - 155 = 4*z. Let q = o - g. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*j**4 - 2*j**3 + 3*j**2 + 21*j**2 - 5*j**2 + 1 - 30*j**2 - 2*j to the form x*j**3 + n*j**4 + l*j**2 + b*j + z and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.066, 0, -1, 2\/37?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 7*k + 7. Let s be q(-4). Suppose -4*a - 3025 = s*r, 0*a + 2*r - 2290 = 3*a. What is a rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33172, 66347, 99522, 132697?\nAnswer: 165872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10290 divided by -4\nAnswer: 5145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 5 - (8 - (-58842)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 4, c: 2, j: 7, l: 1}. What is prob of picking 1 j, 1 c, and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 s, and 1 g when three letters picked without replacement from {n: 7, x: 3, g: 1, s: 1}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-2))\/(((k*k\/(k\/(k*(k\/k**(4\/9))\/k))*k)\/k)\/k*k))\/(k**0\/k)**(19\/4) assuming k is positive.\nAnswer: k**(115\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(-1 - (-6)\/3). Suppose -2*b - 3*b + 20 = f. Suppose 5*i + 3*t + 9 = 0, -5*i + 0*t + t = 17. Sort -11, i, b in descending order.\nAnswer: b, i, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(300)*3 + sqrt(300) + sqrt(300))*-4 + sqrt(300) - 6*sqrt(96)\/sqrt(2)))**2.\nAnswer: 4945968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 109*b**6\/20 + b**5\/60 - b**4\/12 - 917*b**3\/6 + b**2 - 183*b - 15. Find the third derivative of v(x) wrt x.\nAnswer: 3924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00637475219 rounded to four dps?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**5\/7 + 116*g**4\/7 - 106*g**3\/7 - 716*g**2\/7 + 520*g\/7 + 144 = 0. What is g?\nAnswer: -2, -1, 2, 7\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 2*a - 1. Let d be h(1). Suppose d*k + k = 18. Suppose -22 - k = -4*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**2 - 50*r - 20. Let u(b) = 3*b**2 + 32*b + 13. Determine -5*o(h) - 8*u(h).\nAnswer: h**2 - 6*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6*(-209)\/(76076\/936))\/((-12)\/(-56))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/66831208 and 85\/185128?\nAnswer: 66831208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 333*n - 9294. Determine b(28).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**4\/12 - 3*g**3\/2 - 3*g**2 + 4*g + 3. Calculate c(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 52610989331?\nAnswer: 52610989330.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8011278 less than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 249318 a multiple of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l. Let y(r) be the second derivative of r**7\/420 + r**4\/6 - 7*r**2\/2 + 49*r. Let s(o) be the third derivative of y(o). Calculate s(a(i)).\nAnswer: 150*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10365 is divided by 1496.\nAnswer: 1389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s - 10. Let d be a(2). Let c be d\/2*6\/(-18). Solve -2*x - b - 12 = c, 5*x = -3*b - 0*b - 32 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(-1\/19)\/s))\/s)\/s**(-9)*s**(-16)*s\/s**8)**6 assuming s is positive.\nAnswer: s**(-1590\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31 + -6865?\nAnswer: -7006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2. Let u(m) = -10*m. What is r(u(k))?\nAnswer: 400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmmmctmmmnnnm. What is prob of picking 1 t and 1 m?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3740 + -3407. Calculate the greatest common divisor of l and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 k when three letters picked without replacement from {m: 1, s: 1, e: 1, k: 6, a: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6834 + 6838. Let g(u) be the second derivative of 0*u**2 - 1\/3*u**h - 1\/10*u**5 - 1\/3*u**3 + 0 + u. Find q, given that g(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 0)*(6*r**2 + 34*r**2 - 437*r**2 - 22*r**2) to the form n + y*r + c*r**2 and give c.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5865 + 1431?\nAnswer: -4434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 41\/(-164) + (-58)\/(-136). Which is the nearest to 0.2? (a) 6 (b) 0.5 (c) q (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3938 (b) 14\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 2.92.\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -36, -8*v + 5*v + 16*v - 9*v + 92 = 8*v + 8*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5363 or 3644?\nAnswer: 3644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11179 and -1.92.\nAnswer: 21463.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/9 - 333\/324?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 54. Let z = 39.00136 - t. Round z to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 1. Let o be h(4). Suppose 339 = o*n - 3*c, -2*c = 2*n - c - 229. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135155478.1 plus 10.029?\nAnswer: -1135155468.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 4*l - 2*l)*(-5 + 0 + 3 - 4 + 1 + 2 + (3 - 3 - 2)*(-2 + 5 - 1) - 1 + 0 + 0 + (0 + 1 + 1)*(-2 + 2 - 2) - 1 - 2 + 4 - 4 + 1 - 4 - 19 - 5 - 6).\nAnswer: -96*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1519\/9 - -169. Let g = 8 + -5. Which is the third biggest value? (a) g (b) i (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3653, 3679, 3713, 3749, 3781, 3803?\n\"Answer: -o**3 + 10*o**2 + 3*o + 3641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20300000 to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13781 is divided by 3443?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4308 is divided by 651.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 52*b**2 - 615*b - 105. Let p be l(12). Let g(w) = 3*w - 2*w**2 + 0*w**2 + w**2 + 1. What is g(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -126ca2b - 2?\nAnswer: -126ca30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from pppdpdppppppp.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 77*k - 10. Let x(l) = -l. Let o(a) = -s(a) - 4*x(a). Suppose 4*z + z = -5*p + 45, p + 41 = 4*z. Let n be o(z). What is n rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 3, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*w + 2 = 4, 2*w + 23 = 5*y. Suppose -21 = -3*a + y*i, -6 = -2*a + 4*i + 16. Suppose -a*r + 4 = -5. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*g**2 - 27*g**6 - 5*g**2 - 3*g**2 wrt g?\nAnswer: -3240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11084725, 11084731, 11084743, 11084761, 11084785?\n\"Answer: 3*j**2 - 3*j + 11084725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.96 - 8. Let x = 1.96 - m. Suppose 1 = -3*i - 5. Which is the biggest value? (a) x (b) i (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 399*t = 1557*t - 20844 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-6)*6\/(-4). Let m = 33 + -22. Suppose -5*a - m = -2*w, -3*w + g*w = -4*a - 4. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*210\/(-98))\/(24\/21)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**3\/6 + i**2 - 15*i. Calculate t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7920)\/1848)\/((-17)\/(-119))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 149*x**3 - 5*x**2 + 18*x + 2802909.\nAnswer: 447*x**2 - 10*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 + 22. Let z = h + -67. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**4*q - 142*m**2*q + 20*m*q + 4*m + 3*q wrt m?\nAnswer: -12*m**2*q - 284*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 32. Let i be (-30)\/(-50) + 21\/15. Suppose x = -i*d + 47. What is the remainder when 81 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -5*h - 3\/2*h**2 + 1\/3*h**3 + 0 - 1\/36*h**4. Factor m(f).\nAnswer: -(f - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*w + 51*w + 69320 = 0. List the prime factors of w.\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-12)*-4*6\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 438*o**2 - 440*o**2 - o + 30 + 2*o to the form n*o**2 + c*o + v and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(1\/11)*j)\/j*j*(j\/(j*(j*j**(-4\/11)\/j)\/j)*j)\/j)**20*(j\/(j\/(j*j**(-2\/3)\/j)*j))**(2\/113)\/(j**(-1\/2)\/j*j)**(-10) assuming j is positive.\nAnswer: j**(225325\/3729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290 rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4 + 2 + 2*r**2 + 4 - 4 - 5*r. Let f = 1433 + -1429. Give g(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 + 14037?\nAnswer: 14015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3264 - -1151127?\nAnswer: 1145643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(114)*-1)\/(sqrt(144)\/sqrt(6)) + 2)**2.\nAnswer: 2*sqrt(19) + 35\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2445675 is divided by 2445643?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -0.2 (b) -0.039 (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 373757 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 5:48 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -1354.\nAnswer: -7\/677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - g = -4*n - 20, g - 2*n = 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -233*n**2. Let g(w) = 16*w. Calculate g(v(d)).\nAnswer: -3728*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7900051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 413 divide 46566428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 257 divided by 90542.\nAnswer: 257\/90542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/84 + (-200)\/(-350)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1757017000 to the nearest one million.\nAnswer: 1757000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2880 and 480?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/608 and -7\/11.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/4867 at most 10.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*h + 5. Let w = -1 - h. List the prime factors of (0 + w)*(-11)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4286 < -349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 983, 3965, 8935, 15893, 24839, 35773?\n\"Answer: 994*h**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*c**3 + 7*c + 205*c**3 - 8*c to the form g + r*c**2 + u*c**3 + t*c and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14 and 1034228?\nAnswer: 1034242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1938*m - 58 = -1909*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)*4*-1 + sqrt(490))\/(-5*sqrt(320)*-2).\nAnswer: -21*sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = 0. Let f = -19 + 39. Suppose -4*n - n + f = y. Solve 0 = -n*w + 1 - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 437033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8.041. Let z = 16.041 - b. What is the biggest value in z, -3, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 791 = 6*z - 73. Solve -19*h + 55*h - z = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 57*u**2 - 88*u + 599. What is the thousands digit of x(28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 2*m**2 + 2*m**4 + 3*m**2 - 1 as x*m**3 + t*m**2 + b*m + l + v*m**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82691573?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/6634980 and 173\/5830740?\nAnswer: 192414420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -17. Let x be (-2)\/r - 8\/(-20). What is the first derivative of x*a + 5 + a - 2 wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -55 + 15. Suppose 3*v - 53 - 31 = 0. What is the remainder when v is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 - a?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(882) - (sqrt(882) - sqrt(882)*-1 - sqrt(882)) - sqrt(882) - (2*sqrt(54))\/sqrt(3))\/(5*(sqrt(99)*3 - sqrt(99))\/sqrt(11)))**2.\nAnswer: 81\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 131 + 184 = 5*n, 0 = 3*n - 4*c - 183. Solve 0 = i + 64 - n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 1329.\nAnswer: -5, 3, 1329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -4. Suppose r - i = 2*r. Let x = 5 - r. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 14. Suppose 5*t - i - 1 = d, 3*t + 6*i = 5*i - 1. Solve o + 3*k - 4 = t, -o - 5*k = 3*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, o: 1, e: 1}. What is prob of sequence goe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130624 and 1248?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-4))\/((-1 - -1) + (-51)\/(-238)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 5:12 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 6*a - 374 = -452, -3*t + 84 = -2*a for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 520306567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21070142 to the power of 1\/2, to the nearest integer?\nAnswer: 4590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4108 - -4103. Let v = 47 - 49.7. Let r = v - 1.3. Sort t, r, 13, 0.3.\nAnswer: t, r, 0.3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -137 in ascending order.\nAnswer: -137, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*m - 43*m - 339 + 4635 = -0*m for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51 - -55?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -513 + 510. What is the biggest value in 2, 48, -1\/10, f?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6846, 6847, 6850, 6855?\n\"Answer: q**2 - 2*q + 6847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r - r + 3*r + (-38 - 12 - 114)*(34*r + 60*r + 41*r).\nAnswer: -22138*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in sixty-one quarters of a millimeter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*h - 31, -8 = 2403*h - 2407*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 180 = -4*a, y - 4*a + 2*a = 48. Let i = y - 25. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 8:40 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f**2 - 2*f**2 - f**2 + (3*f**2 - f**2 - 3*f**2)*(1 - 2 + 2) - 2*f**2 + f - f)*(2*f + 0*f + 0*f) as s + y*f**2 + i*f**3 + h*f and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:55 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23661 - 275 + 50892 + 39277)*(-a**3 + 4*a**3 - 2*a**3) as t + d*a**3 + l*a**2 + w*a and give d.\nAnswer: 66233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 - 3*x**2 - x + 3. Let p be r(6). Suppose 0 = -2*f + 225 + 201. Let j = f - p. What is j rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.725 - 0.7244912. What is b rounded to 5 dps?\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 273*l**3 + 52*l**2 - 52*l. Let a = 4247 - 4244. Let d(f) = -16*f**3 - 3*f**2 + 3*f. Determine a*x(n) + 52*d(n).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k. Let p(z) = 73*z + 7. Let d(j) = -2*j + 2. Let b(u) = 6*d(u) - 2*p(u). Calculate b(h(y)).\nAnswer: 158*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*k, k = -p - 3*k. Suppose -4*m + 12 = -p. Suppose m*s = 7*s - 120. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**2 + 148*f - 1496. What is q(7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188799265.\nAnswer: 5, 2633, 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/6203512 and -131\/1329324.\nAnswer: 18610536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 21*s**2 + 39*s - 187. Give q(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -72*p**5 - 255*p**4 + p**2 + 4*p + 21597.\nAnswer: -1440*p**3 - 3060*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -252570 and -0.3?\nAnswer: 75771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-25))\/(17\/((-340)\/21))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 39 + 39.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667*j + 131*j = -1072. Let w = -3 + 2. Let k = w - -1. Solve k = j*s + 2 + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 882*i + 4054*i + 190*i - 374198 = 0 for i.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 less than 400?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**2\/5 - 42*d\/5 - 88\/5 = 0. What is d?\nAnswer: -2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i + 20. Determine d(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**2 - 37 + 16 + 20 + s**2 as c*s**2 + g + r*s and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 16*5 + -2. Let q = l + -48. Suppose 0 = -m + 4*u + 30 - 9, -4*m - 3*u + q = 0. Solve 3*h + 0*h = m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -3291, -1, 5, 32?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/90816 and -85\/516.\nAnswer: 90816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -27, 2, 0, -1158?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 8*n + 4*n**2 - 3*n**2. Suppose 8 + 12 = 2*u. Does 8 divide l(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1400 + y - 2991 + 10*y - 5*y + 1591 - 4*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 2*s - 170, -s - d + 37 = -52. Suppose 0 = -2*q - q + s. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 1)*(h**3 + 8*h + 0*h - 11*h) to i*h + l*h**2 + k + u*h**3 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**4 - 27*m**3 - 198*m**2 + 1680*m = 0.\nAnswer: -8, 0, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89904 + 89903.9999960763. What is t rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z*z**(-5)*z*z)\/z)\/z*z*z*z)\/(z*(z*(z\/z**(-2\/31))\/z)\/z)*(z**(2\/17))**16 assuming z is positive.\nAnswer: z**(431\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1006 + 1536. Is 34 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 369801 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 708*t**2 - 16260*t - 98500.\nAnswer: 4*(t - 25)*(t + 5)*(t + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3 - 2*d**2*u**2 + 15*d**2 - d + 90*u**2 wrt d.\nAnswer: 6*d - 4*u**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 44\/5, -464, -0.3, 2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u - 85 + 85)*(2*u - 3*u + 2*u)*(0 + 5 - 1).\nAnswer: 56*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*10\/(-10)*((-294)\/56)\/7?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 319*r - 2*r**4 + 79*r**2 + 8 - 163*r - 154*r to z*r**4 + n*r + b*r**2 + j + h*r**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 6*c + 2. Suppose y + 2*w - 9 = 0, -2*y = 2*y + 3*w - 16. Suppose k + 4 = -y. What is p(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10606, -10599, -10582, -10549, -10494, -10411, -10294, -10137?\nAnswer: -9934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 9:21 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (442\/(-2295))\/(16\/(-20)). Is s <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 41 in descending order.\nAnswer: 41, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8516, 8343, 7910, 7097, 5784, 3851, 1178?\nAnswer: -2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -974 + 1403. Is 39 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -107*j**5\/5 - 3*j**4\/4 + 299*j**3\/3 - 2*j + 877. What is the third derivative of d(k) wrt k?\nAnswer: -2568*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two sevenths of a week in minutes?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 6:32 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q = -4*h - 1022, -3*h = 4*q - 2099. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 431994 = -46*c - 427377 for c.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*i**2*x - i**2 + 2*x**2 + 3*x - 26 wrt x?\nAnswer: 7*i**2 + 4*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -41. Suppose n = -2*a + a + 6. Let k(o) = -o**3 + 5*o**2 - 3*o. Let y be k(2). Solve 4*d = u - a*u - y, d + 2*u = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z. Let x = -7 - -8. Let w be g(x). Solve 0 = -t + 2*u - 10, -4*t + u - 24 = -w*u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*z + 353*z - 6*l = -50, 46*z - 2*l - 646 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 189467931 to the power of 1\/3, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1993080 divided by 996540.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:20 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29170375 and 28275?\nAnswer: 87511125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/6)\/4*-3. Let i be 76\/168 - h\/7. What is the nearest to -0.1 in 0.5, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmttzmttjmjtonmtjtjm. What is prob of sequence tnmm?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 451, 460, 469, 478, 487?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/20*-4)\/((-12)\/30). What is v in 1\/2 - 1\/2*v**2 + 1\/2*v - 1\/2*v**o = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -334 - -0.214.\nAnswer: -333.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-15))\/(16\/40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6732528, -13465056, -20197584, -26930112?\nAnswer: -33662640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 34. Let j be d(15). Solve -b - 10 = j*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + j. Let u(k) = 4*k - 10. Let a be u(4). Suppose 4*o - 2*t - a = 0, -4*o - 4*t - 19 = -t. Determine p(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 + -130. Let 131*s**4 + 11*s**m + 32*s**3 + 5*s**2 - 111*s**4 + 4*s**5 = 0. What is s?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 3*p**2 + 16*p - 15. Let d be w(-3). Put 46, 0, d in increasing order.\nAnswer: d, 0, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 2*s + 2*s - 4 - 2*s.\nAnswer: -2*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -10 (c) -65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.58 + -0.18. Suppose -325 = -4*i - 0*k + 5*k, -k = 5*i - 370. Let s be ((-4)\/i)\/((-6)\/15). Which is the nearest to -1? (a) s (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + -50 + 67 + (4 - (2 + 18 - 2))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/24 - 2214405\/(-180)?\nAnswer: 2, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/56*2*(58 + 15782)\/(-60).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/6 and 19\/39376.\nAnswer: 118128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2346?\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 14824 - 1949. List the prime factors of t.\nAnswer: 3, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/3 - 2499*m**3 + 4685000*m**2 - 14047504*m\/3.\nAnswer: m*(m - 3748)**2*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 15\/2*p**3 + 0*p**2 + 6*p**4 + 0 + 0*p - 3\/2*p**5 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p**2 + 112*p + 3594. Calculate w(-13).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0917 minus -594?\nAnswer: 594.0917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53390832 is divided by 2315?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -76 - -75.63. Let w = -1.37 - z. Let s = -9 - -6. Which is the nearest to w? (a) -2\/15 (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 128, -98 in increasing order.\nAnswer: -98, -3, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.416 less than -6.1356?\nAnswer: -3.7196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25*13\/(-130) + 10\/4. Solve 5*b - 3*c - 13 = 0, 2*b + u - 3 = -c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c43b (base 16) to base 9\nAnswer: -75816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h + 138 = -12*h. Let q(j) = j**2 - 7*j - 19. Let o be q(9). Which is the closest to h? (a) 0.3 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 0 - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -1 + 7. Let w(g) = 5*g**4 + 5*g**3 + 11*g**2 - 11*g - 11. Let a(b) = b**4 + b**3 + 2*b**2 - 2*b - 2. Let f(h) = j*w(h) - 11*a(h). Factor f(s).\nAnswer: -s**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 4*i + 7. Let z(v) = -2*v**3 + 26*v**2 - 21*v - 34. Let y be z(12). Suppose 0*u = -y*m + 2*u + 2, 24 = 4*m + u. What is f(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -54*d**2 + 3. Let w(u) = 19*u**2. What is w(h(k))?\nAnswer: 55404*k**4 - 6156*k**2 + 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11400*a**3 - 11398*a**3 - 11408*a**3 - 11406*a**3 - 11410*a**3 + 57006*a**3.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.17 or -12?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -4 - (1 - (11 + 58) - 11)) + 2?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*b - 5*a, -3*b + 11 = 3*a - 4. Let y be (12\/24)\/(1\/4). Put y, 0, b in decreasing order.\nAnswer: b, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/453720 and -97\/2098455.\nAnswer: 16787640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -465 = 2457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18847 and 71769.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409 divided by -4.\nAnswer: 409\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16254379 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -65814860 rounded to the nearest ten thousand?\nAnswer: -65810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-14) + 76\/(-28). Let y(r) = r**3 - 3*r**2 + r + 2. Let d be y(3). Let t be (32\/40)\/(2\/d). Sort 0, t, k in increasing order.\nAnswer: k, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011101111000000 (base 2) in base 13?\nAnswer: -2aa3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26565 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26038858423 + -470105549825485\/18054. Let h = w - -4\/1003. Find the common denominator of 25\/24 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*z + 194*z - 68*z.\nAnswer: 302*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-129)\/9 - -13)*1\/(-4). Which is the nearest to z? (a) -4\/5 (b) 3 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1013*w + 11152. What is the least common multiple of ((-6)\/(-5) - 0)*25 and l(-11)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 17. Let n(r) = 1005*r**2 - 2017*r**2 + 2 + 1013*r**2 + 2 - 5. Let i(g) = 5*g**2 + g - 6. Determine b*n(t) - i(t).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 + -1. Let v = z + 0. Let r = 0.1 - -0.1. Is r greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/101, -13, 0.97?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 8*r**2 - 7*r + 5. Let f be ((-7)\/(-4))\/(3\/(-12)). Let l be j(f). Suppose x = l*x - 16. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24469.96 - 24947. Let i = d + 477. Which is the biggest value? (a) i (b) -1\/6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 625 and 17725.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 152978 = 152978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4928 and 10304?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -937760*x**2 + 39665*x.\nAnswer: -1875520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 31220042 (base 5) to base 2\nAnswer: 111110110111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**2 + 388. Let w(a) = 2343*a. What is r(w(l))?\nAnswer: 38427543*l**2 + 388","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qo when two letters picked without replacement from lloolllloqllo?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1713060269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30.2 + -35. Let m = -32.8 - c. Let g = -27.7 - m. Are g and -0.02 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 4*j + 2*w + 53, 0 = 4*j + w + 99. Let n = j + 51. Is 28 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 24*l = 45 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n. Let i be c(3). Let z be (-25)\/(-10)*(-12)\/i. Determine f so that 6*f - 1 - 7 + 2*f - z*f**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let c(g) be the second derivative of g - 5\/24*g**4 + 0*g**3 + 0 - 1\/2*g**2. Let r(j) be the first derivative of c(j). Calculate r(n(w)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.7093 years to centuries.\nAnswer: 0.097093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/4864 and 187\/95030400.\nAnswer: 190060800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.047266 and -1664729.867?\nAnswer: 1664729.914266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -39900000 to the nearest one million.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/29)\/(c\/c**(-6\/11)))\/(c*c**(6\/13)\/c*c*c**(3\/4)) assuming c is positive.\nAnswer: c**(-63465\/16588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5193 + 5197. Put -1, 46, g, 6 in decreasing order.\nAnswer: 46, 6, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -883467, -883466, -883465, -883464, -883463?\nAnswer: -883462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 3*t**2 - 1. Let r(a) = -a**2 - 8*a + 3. Let p(u) = 31 + 2*u + 4 - 11. Let y be p(-16). Let f be r(y). Give o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 82*o. Let k(d) = 3*d**2. What is k(a(h))?\nAnswer: 3*h**4 + 492*h**3 + 20172*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from {d: 2, r: 1, s: 4, f: 8}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -4\/7, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from inivnvinnii?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 6, -5, 0, -107 in descending order.\nAnswer: 60, 6, 0, -5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*p + 7. Suppose 0 = 8*n - p*n + 245. Let s = n - -82. What is the highest common factor of s and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1764))\/((sqrt(96)*5 - sqrt(96))\/sqrt(8)).\nAnswer: 7*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 1570 = 11*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6511.85940065 - -6515.8594. Let o = -4 + p. Round o to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsnf when four letters picked without replacement from {s: 3, u: 1, f: 4, r: 1, w: 2, n: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -93405 divided by -93405\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2938590?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.7 + -14.2. Let s = 56\/3 - 18. Which is the nearest to s? (a) 0.5 (b) r (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60148100 to the nearest one hundred thousand.\nAnswer: 60100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5 + 4 + 0*p - p**3 + 7*p - 5*p**2. Let o be x(-6). Suppose 0 = o*s - 2*t - 24 + 2, -3*s + 5*t + 10 = 0. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Suppose 2*p - h = -3*h, 5*p - 3*h = 0. Suppose v - 93 = -91. Let z(l) = 3*l - v*l + p*l - 2*l. Calculate z(m(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 57, 134, 237, 378, 569?\n\"Answer: 2*r**3 + r**2 + 60*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -1\/6*p**3 + 19*p - 1\/30*p**6 + 0*p**5 - 9\/14*p**7 - 1 - 1\/2*p**4 + 0*p**2. Find the third derivative of v(y) wrt y.\nAnswer: -1620*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3535\/6 + 1 + -4. Let m = 2313\/4 - x. What is the common denominator of m and 85\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 18*p + 232. Let v be o(-12). Solve 65*q - 69*q = v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 160 = 2*j. What is the remainder when j is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2016 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13)*a\/((a**(-2\/19)\/a*a)\/a)*a*(a\/a**(2\/3))**(6\/13) assuming a is positive.\nAnswer: a**(-2406\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*f + 18 = 0, 2*v - 3*f - 9 = -4*f. Solve 0*t + v*t = -8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 999 (base 10) to base 16\nAnswer: 3e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111\/7 - -1873\/119. Let j = -0.11 - 0.29. Which is the second smallest value? (a) j (b) w (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317169374 divided by -4\nAnswer: 158584687\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*(u**1*u)\/u*u)\/u**(3\/4))\/(u\/((u\/(u**(-9)*u*u))\/u)*u*u*u**(-2)*u*u))**(-23) assuming u is positive.\nAnswer: u**(-667\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 + 5?\nAnswer: 5.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*i + 426 = -17*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7143 - 3428. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 + 84*v**4 - 153*v**3 - 84*v**2 + 156*v = 0. What is v?\nAnswer: -1, 0, 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r**2 - 5*r - 12. Let o = -11321 + 11323. Determine p(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*l + 199*l + 1760*l + 881*l - 231*l.\nAnswer: 2876*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 divided by -2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y + 2. Let i be t(-5). Let g = 71 - 27. What is the highest common factor of i and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.27 + 0.2699765. What is q rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705430 is divided by 5003.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29059034.\nAnswer: 2, 59, 89, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1589*g**2*k - 2*k - 1440 wrt g.\nAnswer: 3178*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2 - -3) + 324)*1. Let t(x) = 2*x - 13. Let q be t(9). Suppose 0*a + 2*a = -z + r, 4*z + 819 = q*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9\/8, -0.49, 2\/3?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*j**3*p**2 + j**3*p - 468959*j**2*p + 38*j*p**2 + 3*j*p + 12*j - 28*p**2 + 11*p + 2 wrt j.\nAnswer: -168*j*p**2 + 6*j*p - 937918*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -1 (c) -2\/5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/5431 + 5464\/16293. Suppose 6 + 0 = 3*u. Which is the closest to t? (a) u (b) -2 (c) -4\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**4\/4 + 7*c**3\/3 + 6*c**2 + 3*c - 19. Determine p(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*x**5 - 21*x**4 + 5*x**3 - 25852*x**2.\nAnswer: -5220*x**2 - 504*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**3 - 29*o - 3. What is the derivative of x(r) wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-12))*1191\/(-1588) + 0.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/448*4)\/((-42)\/147)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y. Let g(b) = -44274*b**2 + 4396. Let n(f) = 161*f**2 - 16. Let d(w) = -4*g(w) - 1099*n(w). Calculate p(d(m)).\nAnswer: -157*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**7\/5880 - l**6\/1680 + l**4\/24 - 6*l**2. Let f(p) be the second derivative of q(p). Factor f(j).\nAnswer: -3*j*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1219, 2435, 3651?\nAnswer: 4867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56908675 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15141 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 7*m + 8. Let i(s) = -2*s**2 + 14*s - 9. Let h be i(6). Let r be h\/6 - 9\/(-6). Suppose r = 3*t - 19. Determine q(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3086216 and 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.4 - 11.6. Let r = -14.99999084 - b. Round r to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483318 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 1. Let s(h) be the third derivative of -1\/12*h**4 + 53*h**2 + 0*h + 1\/3*h**3 + 0. Let v be ((-1)\/2)\/(3\/(-24)). Give v*s(r) - 10*d(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 12*i**4 + 3 + 2*i**2 - i**4 - 2*i**2 + (2*i**2 - i**2 + i**2)*(-2*i**2 - 3*i + 3*i) - 76*i**3 + 76*i**3 - 19*i**4.\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 - 2*d**3 - d**3)*(3 - 1 - 4) - 3*d**2 + 3*d**3 + 3*d**2 + (0 + 0 + 2)*(2*d**3 - 4*d**3 + 3*d**3).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11452*h**4 - 22*h + 2959. Let o(z) = -11452*z**4 + 15*z - 2957. Let g(p) = -2*n(p) - 3*o(p). What is the second derivative of g(d) wrt d?\nAnswer: 137424*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 7*s**2 - 4*s + 9. Let m be h(7). Let l = 2 - -40. Let q = m + l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t - 1066 + 968 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/5, -11.6, -5, -3\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556 - 556 + 2*x**2 + 1112.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.621 - -409.379. Let m = -444.41 + 12.51. Let w = b + m. What is w rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -50, -53, -58?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 bigger than -2894697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 3*i + 20, g = 4*i + 22. Suppose 0 = -g*q + 4*m + 22, -5*m = 2*q - 38 - 2. Let x be 16*(q\/(-6) + 3). Solve -4*k + 2*k - x = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -2 - (-4 - (-1 + 5 - -2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 615*d - 297*d - 292*d to the form s + g*d and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {b: 1, k: 2, s: 2, n: 1, c: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 12. Let j = h - -10. Put -3\/5, 3, j in descending order.\nAnswer: 3, j, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 43*u**2 - 154*u + 74. Let a be c(-39). Is a greater than -204\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26092 bigger than 26090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 + -10?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17*(-21)\/(-1071))\/(1\/(-69))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*u + 29*u - 21*u**3)*(-1 + 3*u + 1) as j*u**4 + o*u**3 + f + g*u + b*u**2 and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5\/6, -5, -1, -25, -1\/4, -1\/2, -2\/1889?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47167722 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 485*i + 27930. Determine h(150).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 15. Suppose c*h - 25 = -0*h. Find the third derivative of -21 + 39 - 18 + 9*i**2 - 6*i**h wrt i.\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -959*l - 933*l + 4 + 1917*l - 5.\nAnswer: 25*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) - (-185)\/20. Suppose -3*v - s = 12. Let j = -13 - v. What is j rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.212 times 5.79?\nAnswer: -1.22748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1532*d - 764*d = 763*d. Determine x so that 8\/7*x**2 + 4\/7*x**5 + 0*x**3 - 4\/7*x + d - 8\/7*x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d125 + -3?\nAnswer: d122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*h - 130, 0 = -h - 2*s - 0*s + 26. What is the remainder when 101 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:16 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 15.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23890*n**2 - 4 - 4*n - 7 + 8 + 5.\nAnswer: -23890*n**2 - 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -94*n**2 + 61*n + 96. Let v(t) = -188*t**2 + 124*t + 216. Give 9*a(g) - 4*v(g).\nAnswer: -94*g**2 + 53*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*z = -6 - 5, z = -3*b. Let s be (4 - b)*15 - 0. Let j = s - 31. Solve 4*f + 5*n + 10 = 2*f, n + j = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/36 and -29\/1701.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 4:04 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31*p**2 + 155*p**2 + 50*p**2 - 57 + 411 + 95*p**2 wrt p?\nAnswer: 662*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -6*l**3 - 5*l**2 + 4*l + 4. Let c(d) = 51*d**3 + 5*d**2 - 5*d - 5 - 44*d**3 + 6 - 6. Determine -4*c(i) - 5*s(i).\nAnswer: 2*i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -49 + 22615*u - 45229*u + 22616*u + 38. Suppose -l + 0*l = -10. Determine w(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - m = -7, 27*n + 3 = 25*n + m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from jojjpojppq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 6*n**2 - 44*n + 4. What is the least common multiple of 58 and d(-4)?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 + 5 = -7*h. Which is the nearest to -0.1? (a) -4 (b) h (c) 2\/21 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**38*j**(4\/9))\/(j**(-17)\/(j*(j*j**(1\/12))\/j)) assuming j is positive.\nAnswer: j**(2035\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(156)*-2)\/((sqrt(96)*4)\/sqrt(8)) + (sqrt(65)\/(2*sqrt(5)) - (-1*sqrt(13) + 3)) + (3*(sqrt(1872) + 0) + sqrt(1872))**2.\nAnswer: -sqrt(13) + 29949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1008*h**3*n*v - 160997*h**3*n + 11*h**2*n*v**2 wrt v.\nAnswer: 1008*h**3*n + 22*h**2*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 34.31 (b) 2\/7 (c) 1\/3 (d) -4 (e) -0.1 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*6*(-5)\/10. Let l be 27\/((9\/k)\/1). Calculate the highest common factor of 27 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(4*y**2 - 24*y - y**2 + 22*y).\nAnswer: -6*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 7*w + 2. Let k be b(7). Find y such that -y**4 - 2*y**4 - 3*y - 3*y**2 + 6*y**4 - k*y**3 + 5*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 24 = -6*s, -2*b = -6*b - 43*s - 299 + 72 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10)*r)\/r*r*(r\/(r\/(r*r\/r**(-8)*r)))\/r*r*(r**(-1\/3))**(-8))**(-28) assuming r is positive.\nAnswer: r**(-392\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1824 and 41568?\nAnswer: 789792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-245*j**2 + 444*j**2 - 367*j**2 + (4 + 0 + 2)*(2*j**2 + 0*j**2 - 3*j**2))*(-19 + 8 + 10 - 25 - 15).\nAnswer: 7134*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -78, 5 in descending order.\nAnswer: 5, -6, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -8. Which is greater: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.42 + -7.42. Let p = x - -7.5. What is the biggest value in p, -2, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.58376cm in micrometers?\nAnswer: 85837.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-6 - 1) - ((-350)\/(-44) + -2)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) - (sqrt(80) + -4*-2*sqrt(80) - sqrt(80)))) + 0 - (sqrt(80) + (sqrt(80) - (sqrt(80)*-2 + sqrt(80)))*-3 + 0))**2*2.\nAnswer: 27040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7*q - 84. Let i = -10 - q. Let x(t) = t**2 - 2*t - 3. Let j be x(4). Solve -2*w = -s + 3*w + i, j*w + 23 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 62*c**3\/3 - 3*c**2\/2 - 9*c + 33. Find the second derivative of f(m) wrt m.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*z - 2 - 166*z**3 + 48*z + 17*z + 160*z**3 to the form t*z + j*z**3 + x + m*z**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3\/5, 0.128, -0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5, -1, 330, 57 in increasing order.\nAnswer: -11, -1, 5, 57, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19078746 and 22.\nAnswer: 209866206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1278, -1290, -1316, -1362, -1434, -1538, -1680, -1866?\n\"Answer: -l**3 - l**2 - 2*l - 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 5*c**2 + 4*c + 2. Let r be p(-3). Suppose -r*w = -9*w + 32. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1361403 + -140.441.\nAnswer: -1361543.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46395112.\nAnswer: 2, 19, 305231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 != 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2. Let d(u) be the second derivative of 0 + 0*u**2 - 3*u + 1\/3*u**3. Determine d(b(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*v = 19, -5*y + 0*v - 3*v = -29. Suppose 0 = j + y*j + 30. Let q(k) = -1. Let f(p) = p - 8. Calculate j*q(w) + f(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 76? (a) 15.7 (b) 0 (c) 4 (d) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 v when two letters picked without replacement from vfrufzvllvzzlzrlf.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 17*w + 87. Suppose 2*t - 6*t - j - 48 = 0, -2*t + 2*j - 24 = 0. Is c(t) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73 + -67 + (7 - -3) - (-2 - 25)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 10:26 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 608*b**2 - 4410*b - 153. Is w(83) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006381 rounded to four decimal places?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 6*i + 0*i**2 + 435 + 4*i - 440 as q*i + a + r*i**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2348785.\nAnswer: 5, 469757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55.8 and 31?\nAnswer: -1729.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-8))\/(1\/(-2)). Suppose -p*h - 9 = 2*c - c, 5*h + 39 = 4*c. What is the highest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**3 + 48*k**2 - k + 14. Let i be t(12). Solve -w - 1 = -i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k. Let w(m) = 13*m + 8*m - 25*m. What is o(w(h))?\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d75 (base 14) to base 13.\nAnswer: -3921","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 - 5 = 0. Suppose 0 = 2*h - 3*h - r + 120, -2*r - u = 0. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48 - -9) + 10 + 72 + -98\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 155 + -111. What is m rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = b - 4738, -5*d + 10789 + 1058 = 2*b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 190, 381, 572, 763, 954?\n\"Answer: 191*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14218?\nAnswer: 2, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2182 minus 0.41079?\nAnswer: -2182.41079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-2)*8\/3. Let j = w - -5. Let p be ((-4)\/5)\/(6\/j). Solve -3*y = 2*y - 3*a - 22, -8 = -p*y + a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from skneevs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35033 rounded to 2 dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 14176748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 2*b**2 - 3*b + 1. Let j be u(1). Sort 2, 4, j in descending order.\nAnswer: 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -368, -773, -1178, -1583, -1988?\n\"Answer: -405*s + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, 21, -11, -1460 in increasing order.\nAnswer: -1460, -11, -10, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*h*w**3 + a*h - a*w**2 + 26*a*w - 2*h*w**3 + w**2 wrt w.\nAnswer: -12*a*h - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 0.7, -1, -374\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 - (-180)\/(-27). Let p(a) = -a**2 - 4*a + 14. Let m be p(y). Solve -2*o = -4*o + m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(-1\/8)*i*i))\/i)**(2\/57)\/(i**19)**(-47) assuming i is positive.\nAnswer: i**(67863\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14514 and 3936.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -13. Is 1\/12 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385283 + 385323 = -4*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i**2 - 59*i + 59*i + 3*i**3.\nAnswer: 3*i**3 - 22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Let g be -3 + (-48)\/(-15) - (-28)\/35. Calculate the greatest common factor of g and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2704*z + 2793*z + 1157 = 0 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -941 != -63\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x - 15*x + 2*x - 8*x.\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -6.9. Let c = 110 - 1759\/16. Which is smaller: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -155, -1, -0.4, 4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3*t + 2 - t)*(-15 + 8 + 15)*(2*t - t + t) to the form i + v*t**2 + l*t and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122992 and 1136.\nAnswer: 8732432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2716, 4698, 8002, 12628, 18576, 25846?\n\"Answer: 661*a**2 - a + 2056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a day in minutes?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 35*f - 281. Determine r(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**5\/570 - 262*s**4\/57 - 274576*s**3\/57 + 1332*s**2. Find h, given that f(h) = 0.\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-96)\/(-2464) - (3\/21)\/(-1). Factor -u*l**3 - 4\/11*l**2 + 0 + 6\/11*l.\nAnswer: -2*l*(l - 1)*(l + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-47)\/(4 - 265\/65) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 6. Let c(z) = -1. Let r(f) = -f**3 - 50*f**2 + 50*f - 46. Let u be r(-51). Determine u*c(o) + w(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6727.3 and -0.02.\nAnswer: 134.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.224119 * 9.6\nAnswer: 2.1515424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2634 = 3*x, 0*x + 5*s = 5*x - 4400. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18975861 is divided by 75301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q - 5. Let a = 55 + -34. What are the prime factors of l(a)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 z, and 1 x when three letters picked without replacement from zvmxvxvumxmmxx.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, -1230, -3815, -7440?\nAnswer: -12105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -30. Let x = y + 29. Calculate the smallest common multiple of ((-1)\/(-4))\/(-1 - 15\/(-12)) and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 5:07 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61699*m**4 + 2*m**3 - 2*m**2 - 766*m + 176 wrt m?\nAnswer: 740388*m**2 + 12*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -5\/3 (c) -3 (d) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(h + h + 0*h) + 5*h + 2*h + 2*h + 4 - 4 + 2*h - 3*h + 5*h - 3*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94041376 or 188082749\/2?\nAnswer: 188082749\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**3 + 7*l**2 + 9*l + 2. Let r(h) = 3*h**3 - 5*h**2 - 8*h - 2. What is 6*b(w) + 7*r(w)?\nAnswer: -3*w**3 + 7*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/5355 and 113\/3894345.\nAnswer: 66203865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21\/4 - (-1)\/(-4). Find r such that 3*r**3 + 2 - 3*r**5 + 2*r**4 - 4*r + 2*r**z - 4*r**2 - 2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o + 1. Let n be h(1). Suppose -3*z - n = 2, 5*l + 2*z = -25. What are the prime factors of ((-4)\/3)\/(1\/l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 49*o**2. Let a be i(-1). Suppose 5 = w, -2*y - w = 2*y - a. Calculate the highest common divisor of 77 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 2681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -13*f**2 + f - 14. Let z = 9 - 11. Let d(c) = 64*c**2 - 6*c + 72. Let i(x) = z*d(x) - 11*u(x). Differentiate i(y) wrt y.\nAnswer: 30*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31256663 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -792b3c (base 13) in base 2?\nAnswer: -1010111010110101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-30)*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 24.2. Let d = v + -3.1. Let q = 5.2 + -10.2. Which is the closest to 1\/3? (a) d (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 54*f = 82. Sort -42, 1, f, -4 in descending order.\nAnswer: 1, f, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ca3d + 3?\nAnswer: -ca3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 4*v - 1. Determine p(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/7 - 31\/14. Put 1\/6, -0.4, g in ascending order.\nAnswer: g, -0.4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cikkcckklcrcclci. What is prob of picking 1 l, 1 k, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -24*x**2 - 3*x - 3. Is d(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2449 - -2451. Which is the third biggest value? (a) -37 (b) -1\/15 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 399*i - 31. Let h(y) = -2*y + 2. Determine 5*h(x) + n(x).\nAnswer: 389*x - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -307 + 1308 + 458 + 219 - 1984*d wrt d?\nAnswer: -1984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(5)*-1 - (sqrt(5) - (2 + sqrt(15)\/sqrt(3))))**2.\nAnswer: -14*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/4 of a hour?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414294 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -1731?\nAnswer: -346.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -382*c*d*i*v - 3*c*d*v + c*i - d*i + 85*d*v - 2*i*v - v + 32 wrt c?\nAnswer: -382*d*i*v - 3*d*v + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 45, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.9 - 6. Suppose -6 = 3*c - 5*r, 3*r + 45 = -5*c + 1. What is the closest to i in 0.5, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of p**5\/30 + p**4\/6 + p**3\/2 + 115*p**2 - 9*p. Let l(v) = v**2 - v + 1. Calculate 3*l(q) - m(q).\nAnswer: q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b - 20. What is the common denominator of 431\/110 + b\/(-10) and 24\/4 - (2 + 123\/(-6))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3380 and 251810?\nAnswer: 503620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-47)\/(-15) + 18\/(-135). Suppose 4*v - f*q - 129 = 151, -280 = -4*v + 4*q. Suppose 10*k + v = 11*k. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or 6\/29?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 233*f**2 + 233*f**2 + 3*f**4 + (-2*f + 3*f + f)*(1 + 3*f**3 - 1) + 2*f**4 - 3*f**4 + 4*f**4.\nAnswer: 12*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + (4 - (-5 + 18)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -523?\nAnswer: 2\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (13 - 14) + 5\/1. Suppose 4*m = 2*x + 2*x + 28, -h*m + 16 = -x. Is (-2 - (x - -2)) + 7 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/((-486)\/45)*(172\/(-5))\/((-2)\/3)\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1572 divided by 6?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 14*o - 11*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 82*m + 609. Determine p(-15).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 9. Let j be r(-5). Suppose -5*c - 4*l - 15 = 0, 4*c + j*l + 0*l = -16. Let i be 0\/((0 - c)\/(-1)). Solve i = g + 2 + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3916802.\nAnswer: 2, 397, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:11 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -309*i. Let a(d) = 71552*d**2. What is z(a(h))?\nAnswer: -22109568*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 2*i**2 + 3*i**2 - 4*i. Let a(r) = 3*r + 2. Let s(p) = p - 1. Let w(q) = 3*a(q) + 6*s(q). Give w(f(m)).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 p, and 1 z when three letters picked without replacement from {c: 1, i: 1, p: 1, z: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58161.\nAnswer: 3, 19387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(119)*-1 - sqrt(119))*2*-6)\/((sqrt(252) - sqrt(252)*-5*-1)*3).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 24 = -7*p + 16*p - 142, 4*c - p = 1117 - 1449 for c.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10326 + 567961\/55. Calculate the common denominator of j and 89\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 176*a**2 - 33*a + 33. Let i(h) = 27*h**2 + 7*h + 9. Let v(p) = -27*p**2 - 4*p - 8. Let k(x) = 3*i(x) + 4*v(x). What is 5*c(y) + 33*k(y)?\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k - 146. Let p be w(37). Let q be (16\/10)\/((-6)\/(-10)). Let t = q - p. Which is bigger: -3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 167411?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12463972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 16 + 2. Suppose 2 = -i + 4*j, 3*i + 3*j = n*i - 21. Suppose l + 4*f = i, f - 27 = -4*l - 2*f. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/194490170 and -87\/43022.\nAnswer: 1361431190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -1, 55 in decreasing order.\nAnswer: 55, -1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -12 + 7 - (-2 - -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 2178 - 2178 + 7*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(432))**2.\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyzycukg. What is prob of sequence kc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, g: 2}. What is prob of sequence ag?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.96888mm in centimeters?\nAnswer: 4.496888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 7.2.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 10012210111022?\nAnswer: -10012210111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(-2)\/6 + 1. Suppose -124 = -c*d - d. Suppose 5*b - 5*g = 24 + 21, -3*g - d = -4*b. What is the remainder when 6 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2901 (b) -0.4 (c) 4 (d) 5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrr when three letters picked without replacement from lrrrlrlrlllllrllll.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) 4\/7 (c) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 19*s - 1. Suppose -3*y - 2*y - 20 = 0. Let c(t) = t**2 + 6*t. Let o(i) = y*l(i) - 11*c(i). Determine o(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598801, 2395240, 5389307, 9581002?\nAnswer: 14970325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-5) + (-1521744)\/(-60) + 2\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/399*-3*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*a - 51*a + 45*a + 6*a - a - 3*a + (2 + 0 - 3)*(0*a - 3*a - a) - 6*a - 1 + 9*a - a.\nAnswer: 23*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -6*s**2 + 14*s + 431. Let b = -14 + 8. What is the tens digit of j(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 159\/114 + (-16)\/(-152). Let s(t) be the second derivative of -2\/3*t**3 + 1\/4*t**4 - j*t**2 + 1\/20*t**5 - t + 0. Give s(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h. Let m(u) = -2*u**3 + 11*u**2 + 5*u - 1. Determine -m(g) + 5*w(g).\nAnswer: 2*g**3 - 11*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*576\/(-256)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88450 >= -14.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19346)\/551361)\/((-1)\/3).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 12:49 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1868 and 112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 3. Let s be n(-11). Suppose -3*m - 3805 = -s*m. Let l = 1132 - m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 688725892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 3*y + 3500 = 0. What is y rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 2*y. Let j(x) = -3*x**3 + 9*x**2 - 13*x - 2. Give -j(a) - 5*m(a).\nAnswer: -2*a**3 - 9*a**2 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8874 and 16530?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -17*a**2. Let f(s) = -4*s**2. Let m(g) = 26*f(g) - 6*l(g). Suppose -16*n = -15*n - 9. Let u(h) = 10*h + n*h - 25*h. Calculate u(m(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -718*p = -611*p + 856 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**3 + z**2 + 6*z + 5. Let g(c) = -c + 1. Let f(w) = -4*g(w) - n(w). What is the hundreds digit of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 2. Let l = t - -8. Suppose -5*i - 4*d = -16, -5*i - 7 + 26 = d. Solve i*z - l*a + 3 = 0, 0 = -z + 4*z + 3*a + 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*f**3\/3 + 2902*f**2 + 448032*f - 973440.\nAnswer: 2*(f + 312)**2*(7*f - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(288) + sqrt(288) + (sqrt(288) - 2*sqrt(288)) + -2 + 2 + sqrt(288) + -1 + -4)**2 + 0.\nAnswer: -480*sqrt(2) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12233 is divided by 12226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6707 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - ((-18)\/99 - (-4)\/22). Solve -n*h = -5*p + 16, 3*p - 2*h = -4*h + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 13*x - 16. Give v(9).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-43)\/2)\/(12028\/(-18042)).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10\/3 (b) -0.1 (c) 0.3 (d) 0 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169\/122 + -274613\/610. Let b = -453 - u. Which is greater: -4 or b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/32*((-16157)\/2568)\/((-30)\/(-8)) and -39\/100.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-45))\/((-1)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 334.7 - 332.7. Which is greater: w or 7\/90?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 + 79*s - 206. Let a(i) = 4*i**2 + 57*i - 204. Let m(y) = 6*a(y) - 5*l(y). Determine m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 2*b - 4. Let z be 23*(-1)\/5 + 4\/(-10). Let l be p(z). Suppose -l*g = -26*g. Solve g = -4*u + 22 - 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(2\/5)*o))**(-32)\/(((o\/(o\/(o\/(o\/(o*o**(-2\/5))))*o))\/o)\/o*o)**(-34))**21)**37 assuming o is positive.\nAnswer: o**(-135198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0315 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3400 divided by -2?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence illl when four letters picked without replacement from ilil.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a81014 (base 11) in base 6?\nAnswer: 203010121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2036432647.\nAnswer: 97, 20994151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/20)\/(684\/95 - -10).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 106303 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 304\/32545?\nAnswer: 304\/32545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*v**2*w**2 - 63*v**2*w + v**2 - 2*v*w**5 wrt w.\nAnswer: 156*v**2 - 40*v*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 207\/82 + -1\/41. Sort -5, h, 0.1 in descending order.\nAnswer: h, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8385\/3480)\/(-43) - 7\/7 - 4\/58\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 266\/(-399)*12\/10\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 12*x**2 - 558*x + 2966. Give p(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 211400 and 771308.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 281399, 563201, 845003?\n\"Answer: 281802*r - 403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/3 and 22\/197?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 + -3)\/1)\/((413\/(-70))\/59)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 5*d**6\/6 - 3*d**5 - 265*d**4\/4 + 185*d**3 - 140*d**2 + 1061. Factor g(q).\nAnswer: 5*q*(q - 8)*(q - 1)**2*(q + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s + 17*s**2 - 18*s**2 - 4 + 2*s**2. Let o be c(7). Let b(g) = 5*g + 3. Calculate b(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 29\/6 + (-24)\/(-144). Let c(d) be the first derivative of 0*d - 4\/3*d**3 + 4\/15*d**l + 5 + 0*d**4 - 4\/3*d**2. What is p in c(p) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1127)\/(-14))\/23)\/(14\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5549, 9992, 14449, 18926, 23429, 27964?\nAnswer: 32537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -24, -30, -36, -42, -48?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 8*j + 11. Let p be b(7). List the prime factors of p\/(16\/60)*7.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2035595, 4071174, 6106743, 8142302, 10177851, 12213390, 14248919?\nAnswer: 16284438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a + 15. Let x(h) = 21. Let w(b) = -3. Let u(n) = 6*w(n) + x(n). What is -2*p(m) + 11*u(m)?\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 31*h**2 - 78*h + 1317. Give x(30).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - 3*t**2 + 4*t**2)*(87*t - 113*t - 1 + 1).\nAnswer: -26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155636 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 - 6*q. Suppose 3*h - 10 = 5. Let c(g) be the third derivative of g**5\/30 - g**4\/6 - g**2. Calculate h*r(v) - 7*c(v).\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 10*j**2 + 2. Let h be x(-10). Let i(f) = 2*f**3 - f**2 - 1. Suppose 0 = s - 3 - 2. Calculate the smallest common multiple of s and i(h).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19337466389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*m - 8, -10 = -2*p + 4*m - 2. Let b = -2 + p. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/29)*w**(4\/7))\/(w**2*w*w)**(1\/12))**(1\/51) assuming w is positive.\nAnswer: w**(712\/31059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1987 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1090466 - 861143 = -39*n - 410329. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -98815644.\nAnswer: 395262576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 73?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 82011 to the power of 1\/2, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 28 - (-3934 + 3990).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*p + 5398 - 5353 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8820391379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**2 + 6*p + 6. Let b(g) = 11*g**2 - 17*g - 17. Let f = 9 - -8. Let k(s) = 2*s + 24. Let h be k(-9). Determine f*z(i) + h*b(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 59\/5 of a millennium?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 10*p - 10. Determine t(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -285113.27 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/12 + 4*j**3\/3 - 2*j. Find the second derivative of b(a) wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -0.1, 367, -11, -0.057?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.062430595 - 22.\nAnswer: -21.937569405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 45. Give x(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8761, -16859, -24957, -33055, -41153, -49251?\n\"Answer: -8098*p - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5*a**2 + 11. Let r(z) = 2*z**2 - 5. Suppose 3*p = 25 + 2. Calculate p*r(m) + 4*f(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3313, -3739, -4383, -5245?\nAnswer: -6325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 2. Let l(b) = -21414*b. What is g(l(d))?\nAnswer: -21414*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - c - 19. Let x be s(0). Let y(h) = h + 1. Let f(a) = -5*a - 49. Let i(u) = -f(u) - 6*y(u). What is the tens digit of i(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**3\/3 - r**2 - 4*r. Calculate the lowest common multiple of q(-4) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1005294*p**2 - 457136*p wrt p?\nAnswer: 2010588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 15*i + 520 = 0. Let d = i + -100. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -11100001111?\nAnswer: -11100010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.4 less than 247.93?\nAnswer: 240.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.6, -4, -1\/10, -2\/7 in descending order.\nAnswer: 1.6, -1\/10, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c4 (base 15) to base 12.\nAnswer: -44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -4 (c) -0.009 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2039 + -1160. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220.4 times -0.5\nAnswer: 110.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**4*k**(-1\/8)*k)\/(k*k*k**4\/k*k\/k**(1\/6)*k*k))**(-9\/7))**(17\/2) assuming k is positive.\nAnswer: k**(3621\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14620 + 42862. What is the thousands digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*y - 177, -3*d + 5*y = y - 132. Calculate the highest common divisor of 128 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-120)*5*-64.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 383949997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32789272 to the power of 1\/2, to the nearest integer?\nAnswer: 5726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328096.\nAnswer: 2, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -21. Let g(w) = -w - 3. Calculate g(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -567.\nAnswer: -5\/567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 5*d**2 + 3*d + 2. Let t be b(-2). Let l(q) = q**3 - 9*q**2 + 8*q + 3. Let p be l(t). What is the greatest common divisor of 2 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 625*v + 714*v - 1259*v = -80 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-18) + (-80)\/(-36). Suppose 3*g - 23 = -4*c, 4*c - t*g + 17 = 3*g. Let q(a) = 5*a**3 - 2*a**2 - 1. What is the tens digit of q(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 0*f**3 - 3\/20*f**5 + 0*f**4 + 0*f + 0 + 11*f**2. Let d(r) = -2*r. Calculate j(d(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Let o(l) = -l**3 + 4*l**2 - l + 4. What is the least common multiple of o(u) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 4*z - 5*j, -5*z + j - 21 = 3*j for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 2 - (-11 - 1823). Suppose m - 6825 = -2*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 759 and 6969.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*l + 26, -67 = -3*l - l - z. Calculate the least common multiple of 3 and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d + 2*d)*(1667 + 78 - 723 + 1251).\nAnswer: -2273*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5548 take away -1034?\nAnswer: -4514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-70))\/((-4)\/30). Put 0.4, -15\/116, d in decreasing order.\nAnswer: d, 0.4, -15\/116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51.3 and 0.3.\nAnswer: -15.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110729.\nAnswer: 3, 17, 29, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from kwktktkkktwk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:43 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 a factor of 27864704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.1205 + -0.0205. Round t to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 937*q**2 + 5653*q + 4715.\nAnswer: -(q - 943)*(q + 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -414635\/33 = -12564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7966230758 to the nearest integer?\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -262775\/2 + 126337. Let s = x - -4036. Let v = -3061\/3 - s. Find the common denominator of v and -77\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, -107, -168, -251?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 0*l)*(l**3 + 3*l**3 - 2*l**3) + 2*l**4 + 3*l**4 - 4*l**4 + (-2*l + 7*l - 3*l)*(97*l - 7*l**3 - 97*l).\nAnswer: -15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5381061 is divided by 151?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaf. What is prob of sequence aa?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - u**3 + 3*u**3)*(-2*u + 3*u + 7*u).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*j**3 + 15*j**3 - 2*j**2 + j - 5 + 0 as o + w*j**2 + p*j**3 + b*j and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (14 - (36 - 20)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-3 + -4 - -8)) + -11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(441) + -1*(sqrt(441) + (-2*sqrt(441) - sqrt(441))))\/(sqrt(847)*-1 + -2*sqrt(7)*2)*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -6739, 59, -0.4, 0.4 in decreasing order.\nAnswer: 59, 1, 0.4, -0.4, -3, -6739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5505375\/73 + 1256219917\/17520. Let n = c - -48149\/16. Let r = 4289\/6 + n. Find the common denominator of 119\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1680)\/576)\/(119\/(-374)).\nAnswer: 55\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2959770 is divided by 262.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 11) in base 2?\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -295, -393, -491, -589, -687, -785?\nAnswer: -883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/4*(-14)\/21.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -34. Let t(n) = -4 + 15*n + 7*n - 2*n. Let k be t(5). Calculate the highest common factor of k and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 27. Find the third derivative of 2*k**2 - 3*k**2 + 0*k**n + 11*k**5 + 4*k**2 wrt k.\nAnswer: 660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9804410 plus -18?\nAnswer: 9804392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 10. Let j be p(-7). Let u = 1 - j. Let c be -8*(u + 9\/6). Solve -c*s + 2 = -3*v + v, v = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-2)*(-42368)\/(-18536)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -13937005*28\nAnswer: -390236140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1652 divided by -27\nAnswer: 1652\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98154876*j**4 + 151128863.\nAnswer: -392619504*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949517 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 8:24 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1011970858?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89*j**3 + 211 + 0*j**3 + 2*j**2 - 109*j**3 with respect to j.\nAnswer: -594*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 18\/2 + 2. Let p be (-24)\/a*(-10)\/4. Let s = 17 - p. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 162499 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m**3 + 36*m**2 + 176*m + 148. Let s(y) = -8*y**3 - 35*y**2 - 177*y - 147. Let w(k) = 3*l(k) + 4*s(k). Find a such that w(a) = 0.\nAnswer: -3, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/563466 and -65\/33526227.\nAnswer: 67052454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 5 = 39*r - 36*r, 4*s = 4*r - 40 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -15*c**5 + 2*c**2 + 3*c - 3. Let m(h) = -h**5 - h**2 + h - 1. Let z(q) = b(q) - 3*m(q). What is the third derivative of z(o) wrt o?\nAnswer: -720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986822917 to the power of 1\/2, to the nearest integer?\nAnswer: 44574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 3. Let f(w) = 2*w - 3. Suppose -13 = 2*i - 3*t, 5*i + 4*t - 13 - 12 = 0. Suppose 14*x = -83 - i. Give x*d(j) + 5*f(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1250)\/1500 + 1798\/12 is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39226004 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4206800 (base 10) to base 3.\nAnswer: -21220201122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*m = -3*g + 395, 2*g = -5*m + 127. Suppose 3*b = 2*x - 69, x - g = -2*x - b. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*y + 69870 - 69876 = 0, 4*g = -2*y + 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -674 + -58519.2.\nAnswer: -59193.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1707\/20 - 414\/5. Let h = -8227\/84 + 699\/7. What is the common denominator of h and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 6*z**2 + z - 3. Let v be (-3)\/(-6) + (-2)\/4. Let m be (-15)\/15*(5 - v). Calculate c(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 5:43 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(81\/(-24)))\/((1320\/(-10))\/(-33))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*o + w, 6 = 501*o - 499*o - 3*w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28439 = 1038*d + 3739 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027 take away -186?\nAnswer: 185.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 6*x + 30. Let f be v(-9). Factor -1\/3*k**f - 2\/3*k**2 + 0 - 1\/3*k.\nAnswer: -k*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 400*y - 20677 + 30277 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*i - 51*i = 8. Let c be ((-3)\/i)\/((-85)\/(-34)). Suppose 6\/5*y**4 + c*y**5 - 6\/5*y**2 + 9\/5*y - 12\/5*y**3 + 0 = 0. What is y?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1412 - -2880. Suppose 3*f + 4*s = 4*f - 386, 4*f + 3*s = u. What are the prime factors of ((-1)\/(-2))\/(5\/f)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/25, -19 in descending order.\nAnswer: -2\/25, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14509?\nAnswer: 11, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 10680 = -5*n, 2*c + n - 2771 = 4356. Suppose 50*b - c = -1065. What is the remainder when b is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 1:15 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -y + 2*b, -74 = -5*y + b + 102. Calculate the least common multiple of (0 - 116\/(-7)) + (-328)\/574 and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 90.7677ml to litres.\nAnswer: 0.0907677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let z(r) = 69*r. Give t(z(y)).\nAnswer: -69*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 3*o = -12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078291558?\nAnswer: 2, 539145779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1459, -1457, -1455, -1453?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42c + 1?\nAnswer: -42b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19, 21, 6, 5 in descending order.\nAnswer: 21, 6, 5, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 20, -7*o + 33 = 4*k - 12*o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 655548905 to the power of 1\/3, to the nearest integer?\nAnswer: 869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001084977 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**4 - f**3\/3 + f**2\/2 + f - 18. Suppose -u + 3*j = 16, 2*u - 5*u - 4*j = -17. Determine n(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 755911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k - 4585214 + 4585214.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 - 13*c. Let d be ((-1)\/(-3))\/(0 + (-6)\/(-54)). Let w(n) = n**2 + 7*n. Give d*f(a) + 5*w(a).\nAnswer: -a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -14067953?\nAnswer: -14067953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*f - 3*h + 2*h, f = -3*h + 12. Suppose -13 - 18*k**f + 197 + 544*k - 198*k**2 + 588*k**2 = 0. Calculate k.\nAnswer: -2\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.45 in -30, 3\/2, -1\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 283 + 198 + 4*w**2.\nAnswer: 4*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5107 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-20)*n)\/n)**14 assuming n is positive.\nAnswer: n**(-280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 55.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 33, 41, 49, 57, 65?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53097 + 7*z + 17703 + 17696 + 17696.\nAnswer: 7*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(1\/11)))\/(d\/d**(-5\/7)))\/(d*d*d*(((d\/d**(-8))\/d)\/d)\/d*d*d)**(-4\/31))**(1\/4) assuming d is positive.\nAnswer: d**(-921\/9548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53863, 431250, 1455629, 3450496, 6739347, 11645678, 18492985?\nAnswer: 27604764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 335453, 670858, 1006263, 1341668?\nAnswer: 1677073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1786 = -866. Suppose 0 = d + 5*i - 445, d + 4*i - k = -d. Suppose d = 3*l - 1717. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -2 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -0.533466, 0 in increasing order.\nAnswer: -0.533466, 0, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of l**2*n**2 + 20*l**2 + 26*l*n + 5*l + 2*n**3 wrt n?\nAnswer: 2*l**2*n + 26*l + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4819 or 4810?\nAnswer: 4819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*a - 12*a + 144*a - 4*a + 5*a + a + (2 - 2 + 2)*(-4*a + 0*a + 2*a) as y + i*a and give i.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - 7\/((-28)\/(-8)). Let q(u) = 2*u**2 - 8*u + 29 + l*u - 11. Is q(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1210 + -1209.9. Put -172, z, 0.3 in ascending order.\nAnswer: -172, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 - 2.73. Let a = f + 3. Let c = -2 - -1.8. What is the closest to a in c, 2\/9, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l - 5*n = -25, 4*l - n = 17. Let a be 13\/2 - 2\/4. Find the third derivative of 3*d**6 + d**2 + 3*d**6 - l*d**a wrt d.\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -0.3. Let x = -1.2 - b. Put -2\/23, x, 2\/21 in increasing order.\nAnswer: x, -2\/23, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2. Let z(i) = -7582*i. What is z(y(j))?\nAnswer: 30328*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**6\/3 - 24*w**5\/5 - 53*w**4\/2 - 68*w**3 - 72*w**2 + 443. Solve c(y) = 0.\nAnswer: -4, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j = -4*s + 75, -4*s = -j - 71. Suppose 25*k - 225 = 20*k. Calculate the highest common factor of k and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.42 + -20.12. What is the third smallest value in c, -2\/339, -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*q = 12, 7*q - 4*q = 4*g - 48. Suppose -4*z - 4 - 8 = 2*l, g = -4*l - 2*z. List the prime factors of 1\/(l*2\/(-76)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3396 + -3395. Let u = -0.1 - -5.1. Which is the nearest to -2\/7? (a) 33 (b) u (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 0*g + 0*g + g**3 - 3 + 4*g**2 + 3*g. Let x be p(-3). Let t be -1 + -3 + 2 + x. Put -3, -4, t in ascending order.\nAnswer: t, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 2:29 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -708a16 (base 13) in base 15?\nAnswer: -36ac0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 1. Suppose l = 3*c - b, c - 3*c + l = -53. Let i = c + -18. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 0*v + v**2 + 32 - 10*v**3 + 27*v**3 - 34 to q*v + m + o*v**3 + x*v**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5654*x + 11281*x - 5658*x.\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 30*f + 30*f + 39*f = -1652 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adz when three letters picked without replacement from daazvzzzzzvv?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 25. Let d be t(-12). What is the tens digit of 2520\/(-12)*(-1)\/(-3)*d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 951776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (1 - -3 - -28). Find the common denominator of (10\/(-4) + 2)\/(6\/b) and 43\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 140 and 11984?\nAnswer: 59920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910786 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307 + x + 260 + 262 - 1080 + 317.\nAnswer: x + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*s - 7*s = 162, 4*s = 12. Let m = i - -255. Suppose 0*w + m = 3*w. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 1, s: 1}. Give prob of picking 1 s and 1 u.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, 3, -0.09, 2\/5, 4, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6380?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-183)\/(-13) - (-72)\/(-936)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21128406 divided by -6.\nAnswer: 3521401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (21 - (16 - -16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26454763063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52466 is divided by 3603.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471, 469, 453, 417, 355, 261, 129, -47?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Let s(d) = d**3 - 41*d**2 - 29*d - 2448. Let v be s(43). Solve p + m = 2*c - 3, v*p - 5 = c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3701 is divided by 1708.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-11)*l*l)\/l*l*l*l**5*l)**(2\/69)*((l\/((l*(l**(-1\/3)*l)\/l)\/l))**(-10))**(4\/17) assuming l is positive.\nAnswer: l**(-3748\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44998148.\nAnswer: 2, 13, 865349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 24085.2221 and 0.3?\nAnswer: 24084.9221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.668 - 13.69. Let a = -16 + 238\/15. Sort j, -4, -2\/17, a in increasing order.\nAnswer: -4, a, -2\/17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1044, 1037, 1030, 1023?\nAnswer: 1016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10015 - -341?\nAnswer: 10356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/((-5)\/(-103685)) - (21 - 25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/222 and -38\/97421.\nAnswer: 584526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 13*m**5\/2 - 462*m**4 - 2441*m**3 + 652*m**2 + 4869*m\/2 - 190 = 0?\nAnswer: -5, -1, 1\/13, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231748546.\nAnswer: 2, 115874273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.143232 rounded to 3 dps?\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 22 = -2*n, -1 = n + 2*z + 2*z. Let q(v) = -12*v + 6. Let k = -25 - -23. Let r be q(k). Calculate the greatest common factor of r and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/5 in -6\/31, -2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150.999992 + -151. Round t to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -621 greater than -824.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*v + 6*p + 34, -2*v - 4 = 2*p. Suppose v*j = -j. Suppose j - 15 = -3*x. Solve -u + x = l, -2*l + 4 = u - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871658 a multiple of 1654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-4)*(-256)\/(-112)*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 58 = 2*z + 20, -3*l - 5*z + 78 = 0. Suppose 3*s = -6, -3*s - l + 95 = 3*c. Suppose -4*g + c = -r, 2*g = -4*r + 10 + 16. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.8*-826.9\nAnswer: 3969.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + g - 4, -5*g = -j - 7 - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119.7 - -134. Let t = v + -0.3. Let g = 17 - t. What is the second smallest value in -4, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 3. Let f be g\/6 - (-26)\/6. Let o be 2\/3 - 2\/3. Solve 4*z - 3*c - 2 = o, -6 = f*z + c - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*d**2 + 364*d**2 + 185*d**2.\nAnswer: 274*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1050 + -566. Let y be 13*1\/(4\/44). Let f = l - y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - 2*x - 2*x)*(7 - 8 + 17).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 5 + 32\/(-14))*-7. Suppose -5 + 1 = -r*v. Solve -3*j = -v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -824.434525?\nAnswer: -824.434525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 13*p**2 + 25*p - 23. Let a be k(11). Solve a*g - 9 = 13*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3634674 + -2070217. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2017\nAnswer: 4\/2017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 679*l**2 - 4091*l + 54. Determine s(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 15, q: 3}. What is prob of picking 2 q?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1.9, -1\/5 in descending order.\nAnswer: -1\/5, -1\/3, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -636 + 737. Calculate the remainder when c is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, h: 1, o: 5, b: 10, l: 2}. What is prob of picking 1 h, 1 u, and 2 b?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*1*(-14)\/(-168)*-2.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 117477, 939678, 3171365, 7517280, 14682165, 25370762, 40287813, 60138060?\n\"Answer: 117457*z**3 + z**2 - z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 156138339?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -31*s**2 - 11*s**4 - s**4 + 25 + 37*s**3 - 4*s**3 - 14 - s. Let f(j) = -3*j**4 + 8*j**3 - 8*j**2 + 3. Let a(l) = -22*f(l) + 6*u(l). Factor a(w).\nAnswer: -2*w*(w - 3)*(w - 1)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 5*c**4\/12 - 9760*c**3\/3 + 9525760*c**2 - 3902*c. Determine t so that s(t) = 0.\nAnswer: 1952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**15*t**(-1\/12)\/t*(t**(-3))**19 assuming t is positive.\nAnswer: t**(-517\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-6)*-3 + -2. Suppose -4*w + 57 = r. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169199 is divided by 42288.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20865 and 91.\nAnswer: 146055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = q - 74, 5*q + 90 = -2*z + 7*z. Let g = z + -4. Suppose -2*c = -3*b - g, -2*b + 5 = -3*c + 31. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 5814?\nAnswer: 5818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 smaller than -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 - 70. Let d be 0\/(-3 + 5 - h). Solve y + 3*y - 5*p + 26 = d, -3*y + 3*p - 18 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*b + 2*b**2 - 52*b + 0*b**2 wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*u**4 + 3664*u**3\/5 - 3484*u**2\/5.\nAnswer: -4*u**2*(u - 1)*(45*u - 871)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 202\/8 - (1623 - 1597)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 11 + 7. Factor 0 + 0*w + 0*w**2 - 1\/4*w**g - 1\/4*w**4.\nAnswer: -w**3*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - 42661*w + 42661*w - 293)*(10 + 5*w - 10).\nAnswer: 5*w**4 - 1465*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (16 - 12) + -20 - (-1 + 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnntbbobninxxoo. What is prob of picking 1 t, 1 x, and 1 i?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**1)\/z)\/(z\/(z*z*(((z*z*z*z**34)\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 33*g - 18*g. What is the highest common factor of g and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, m: 2, z: 1, p: 1, r: 11}. What is prob of picking 1 r and 1 z?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1232*a**3 + 8 + 2*a**2 + a**2 - 27*a**2 - 13*a**2 - 27 wrt a.\nAnswer: 7392","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k - 1. Let v(x) = 50*x - 89. Let z(b) = 4*i(b) + v(b). What is the remainder when z(4) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -6. Suppose -14 = 55*z - 50*z + 4*p, 0 = 5*z - 3*p + 7. Which is the closest to 2? (a) -3 (b) z (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 - -0.16. Let s = 0.1 - m. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1770.6585 to the nearest ten.\nAnswer: -1770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 7*f + 6. Suppose 5*u - f*u - 2 = 0. What are the prime factors of -1*(u + (-1)\/(4\/80))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + t - 12. Let u be n(-5). Solve -2 + u = 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13632611 (base 7) to base 8.\nAnswer: -4716623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 17*d - 11. Give p(15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -20*v**3 + 207. Let n(j) = -2*j**2. Calculate s(n(a)).\nAnswer: -240*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53.953 - -54. Let g = c - -46.953. Let k = g - 77. Is k smaller than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -25. Let u be (10 - 5) + (m - 1). Solve -15 = 5*i + u*a, 0 = -3*i - 3*a + 2*a - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*q + 1. Is q\/(-1 + 40\/41) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1525?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + (sqrt(720) - (sqrt(720) + sqrt(720) + -2)))*-6*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1419 is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -d + 15. Let k = d - 89. Find the second derivative of -13*w - 14*w**3 + k*w - 21*w**3 - 12*w wrt w.\nAnswer: -210*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3953287630?\nAnswer: 2, 5, 19, 20806777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 8:59 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 3. Calculate p(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) 37\/6 (c) -2\/3 (d) 0.6 (e) -2\/9 (f) 1.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -223 + 221. Put v, -61, 4 in descending order.\nAnswer: 4, v, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4367662790 to the power of 1\/2, to the nearest integer?\nAnswer: 66088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92.9 - -97. Let t = -4 + z. What is the closest to t in 26\/9, 3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152 = 4*n + u, n = 9*u - 6*u + 288. Let v = -169 + n. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-5)\/15*-3. Let w be 12\/(-10)*220\/k. What is the highest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 316412\/2223 + -5\/2223. Let t = 141 - z. Calculate the common denominator of t and -53\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 5*v**2 + 0*v + 9*v**3 - 2 - 3*v**2 + 2*v**3 to f*v + g + i*v**3 + l*v**2 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 2\/19, -3\/5 in decreasing order.\nAnswer: 33, 2\/19, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 p when four letters picked without replacement from qllqqllllpllpll?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1192.753 and 0.5?\nAnswer: 596.3765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 193, 51, 535 in descending order.\nAnswer: 535, 193, 51, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and 232981.\nAnswer: 232975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66 - 67. Let c = r - -2.4. What is c rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1323 + -1326. Let l = -5 - -4. Let c = l + 0.9. Put c, g, 1\/2 in increasing order.\nAnswer: g, c, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/2, 0.2, 2\/3, 0.1, -18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**2\/4 + 273*u\/4 - 267\/2 = 0. Calculate u.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28 and -12.56.\nAnswer: 3.5168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -6*c**2 + 2786*c + 11418. Calculate u(-4).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 + b**5 + 0*b**5 + (-3*b**4 + b**4 - 6*b**4)*(-4 + b + 4) + (1 - 1 - 2*b**5)*(3 + 1 - 2) - 5*b**5 + 2*b**5 + 5*b**5.\nAnswer: -8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 9:54 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*p - 4*p**3 - p**3 - 20 - 46*p + 15*p**2.\nAnswer: -5*(p - 2)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-9)\/(-3))*-69 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*i - 5*u, -4*u - 13 = -i - u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4))**(-42) assuming f is positive.\nAnswer: f**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 + 1169. Suppose 4*x + 3*r = 5*r + t, 934 = 3*x - 5*r. Is x a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0301 times -6.01\nAnswer: 0.180901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 232.963 and 33909.\nAnswer: 34141.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxxxkrxxxxxrxrxrprr. What is prob of sequence xkr?\nAnswer: 35\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.8344 years in decades?\nAnswer: 22.88344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 55362 (base 13) to base 16\nAnswer: 25b09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.4, -324, -8 in ascending order.\nAnswer: -324, -8, -4\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15675.6 + 15676. Sort 5, -17, -0.1, i, -0.5 in increasing order.\nAnswer: -17, -0.5, -0.1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 818 - 31. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, -8, -5, 0, 7, 16, 27?\n\"Answer: f**2 - 2*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 601*z**2 + 598*z**2 + 595*z**2 - 1793*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 3, 56, -2 in increasing order.\nAnswer: -4, -2, 3, 6, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.7 (b) 2\/15 (c) 10 (d) -2 (e) -0.1 (f) -0.15 (g) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5214440?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -6. Let l = 1.49 - 1.5. What is the nearest to l in j, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 11*q - 26. Calculate v(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 155 - -4?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 21*u + 6. Let x(v) = 4*v**2 - 6*v - 8. Let q be x(u). Solve 11*z = 6*z - q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -111 + 125. Let k = 12 - 0. Let y = q + k. Calculate the greatest common factor of y and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/8454 and 41\/354.\nAnswer: 498786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 5518551.\nAnswer: 5518551.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i**3 + i**2 + i - 1. Let q be m(1). Suppose -q = x - 2*x. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.95 + 14. Let n = -0.95000126 - w. Round n to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w + 75 = -46*w. Let q(p) be the first derivative of -p**3\/3 - 15*p**2\/2 + 12*p + 1. List the prime factors of q(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 7*z**2 - z + 11. Let i be v(7). What is the first derivative of 8 - 1 - 11*k**i - 10*k**4 wrt k?\nAnswer: -84*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-2)\/16*(-468)\/(-390))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2310\/92400)\/((-119)\/(-35)).\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*p, 675*t + 2 - 4 = 676*t - 5*p for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119379*j**3 + 20843 - 20843.\nAnswer: -119379*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62431636 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/6*(1 - 0). Suppose 88 = 7*h + h. Let u(j) = -107 + 101 + 12*j - h*j. Give u(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4533480 and 1017720.\nAnswer: 49868280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.03327?\nAnswer: 0.013308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + -2360?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 9*k - 13. Let y(a) = -a**2 - 9*a - 13. Let d be y(-8). Let x be w(d). Let n = 288\/5 + x. What is the third smallest value in -3, n, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52422370 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 + j. Let t be q(0). Let n be 8\/9*(12\/(-16) - t). Which is the nearest to n? (a) 1\/8 (b) -1\/12 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (sqrt(325) - -4*2*sqrt(325)) - (4 + -2*sqrt(325))) + sqrt(325) + -2 + -2 + -2 + sqrt(325)*-1 + 5)**2.\nAnswer: 300*sqrt(13) + 11725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -453 - -1613. Suppose 0 = 30*k - 26*k - f. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387956*p - 3 + 3 + 387958*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 34, -4508, -4 in descending order.\nAnswer: 34, 5, 4, -4, -4508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012230043 (base 5) to base 6.\nAnswer: 112214200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2937 by -89.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -25*w**2 - 4*w - 4. Let c(x) = 6*x**2 - x + 2. Let h(b) = -2*c(b) - f(b). Let i(d) = 703*d**2 + 323*d. Give -323*h(u) + 6*i(u).\nAnswer: 19*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-12) - 1662\/(-24). Calculate the highest common factor of 42 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 643895, 2575611, 5795137, 10302473, 16097619, 23180575, 31551341?\n\"Answer: 643905*w**2 + w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*p + 64, -2*r + 0*r + 5 = p. Suppose -p + 31 = 5*z. Suppose -z*a + 0 = 4. Sort 2, a, 0.2 in ascending order.\nAnswer: a, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.4.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 55.3. What is the second biggest value in o, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 5 + 14\/33*u**3 - 8\/55*u**5 - 1\/22*u**4 - 6\/11*u + 1\/11*u**2. Solve c(b) = 0.\nAnswer: -1, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, j: 3, e: 1, g: 5, n: 3, b: 4}. Give prob of picking 1 d, 1 n, 1 g, and 1 b.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 147, 5 in decreasing order.\nAnswer: 147, 5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*g + 4*q, 177*g = 178*g + 5*q - 29 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -24*i**3\/5 - 48627*i**2\/5 - 151734*i\/5 - 18207\/5 = 0.\nAnswer: -2023, -3, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 352.\nAnswer: 9\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6276*r + 13037*r - 97*r.\nAnswer: 19216*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3085948 - 0.3086. What is r rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 - 38. Let w = 64 - o. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 16*c + 3. Let r be m(8). Find q such that 10*q**2 + 5*q + 0*q + 0*q + 5*q**r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*u**4 - 1332*u wrt u?\nAnswer: 432*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 3\/8, -2\/7, -0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -2*u**5\/95 - 5*u**4\/19 + 250*u**2\/19 + 1250*u\/19 + 4262. Solve q(g) = 0 for g.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -21. Let r = 18 - b. Let k = r - 3. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 20*i + 24*i + 38*i**2 - 50*i. Let h(z) = -2*z. Give h(f(m)).\nAnswer: -76*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -1 - (-18)\/8. Suppose -3*v + 15*v - 1620 = 0. Let k = v - 1217\/9. What is the second biggest value in p, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {w: 5, m: 1, f: 3, c: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3246, 7, -3, -2\/21, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11079587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (941*p**2 - 1828*p**2 - 156*p**2 - 1762*p**2 - 268*p**2)*(2 + 0 - 3) to the form h*p**2 + d + i*p and give h.\nAnswer: 3073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283765.\nAnswer: 5, 19, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 9268.807854 to the nearest 10.\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*p + 70, 5*b - 10*p - 68 = -6*p. Solve 5*l - b = -2*y, y - 5*y - 4 = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/23)\/u)\/u**(-12)*(u\/(u\/u**(1\/2)*u*u))**(-29))**(4\/13) assuming u is positive.\nAnswer: u**(5006\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a + 8. Let x = -3763 + 3766. What is r(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 303*i**2 + 2*i - 3. What are the prime factors of v(1)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.389999434 + 6.39. What is f rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25333283 is divided by 143938?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 29*w**2 + 161*w - 6. Let l be k(-6). What is the highest common factor of 1494 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/5932 and -41\/24.\nAnswer: 35592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 62761173.2 and 0.2.\nAnswer: 62761173.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45893 is divided by 2905?\nAnswer: 2318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 702613590 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -2 + sqrt(1216)*3 + -5 + (sqrt(1216) - (0 + sqrt(1216) + 5)))*4)**2*-3.\nAnswer: -530112 + 23040*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3033971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35268?\nAnswer: 2, 3, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -1 + sqrt(175) + 2*sqrt(175))*3)**2 + 1 + (-2 + (0 + sqrt(175))**2 + sqrt(175) - (sqrt(175) + 1)**2*3).\nAnswer: -25*sqrt(7) + 13821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 46*y**2 + 88*y + 63. What is the ten thousands digit of z(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -1.3. Put -0.5, -5, p in ascending order.\nAnswer: -5, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**2\/2 - 2. Let z(x) = -2*x - 3. Let f be z(-3). Let l(m) = f*m - 3*m - 2*m. Determine l(t(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -277 and 0.145.\nAnswer: -40.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 1:02 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -598, -1178, -1878, -2698, -3638, -4698?\nAnswer: -5878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, 13, 63, 167, 343, 609, 983, 1483?\n\"Answer: 3*u**3 - 7*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -48*m + 61*m - 182. Suppose -6 - 22 = -m*v. Solve 2*w = -3*j - 4, -j + v*j + w = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1518, -0.5, 1333 in descending order.\nAnswer: 1518, 1333, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2453 is divided by 686.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -593*i**5\/2 + 24309*i**4\/2 - 124448*i**3 - 119440*i**2 + 2371200*i + 16000 = 0.\nAnswer: -4, -4\/593, 5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 31 + 25. Find the third derivative of -23*r**z + 121*r**3 - 2*r**4 + 31*r**3 - 28*r**3 wrt r.\nAnswer: -48*r + 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = c - 3, -42 = -43*c + 39*c - 2*y. What is the smallest common multiple of 52 and c?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -10*z**2 + 327*z + 90. What is d(33)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - -54?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 0.7, -1\/22, 0?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35533323, -71066643, -106599963, -142133283, -177666603, -213199923?\n\"Answer: -35533320*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 248521 divided by 2731?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -167678400 divided by 57900\nAnswer: -2896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/10)\/(((q*(q*(q*((q\/((q\/(q*q**(2\/19)\/q))\/q))\/q)\/q)\/q*q)\/q)\/q)\/q)*(q*q\/(q\/(q*q**3*q))*q)\/q*(q**(-2)\/q*q)\/q assuming q is positive.\nAnswer: q**(759\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 + -1)\/1 + 797 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 9:21 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/12 and -29\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 278 - 335. Let i = x - -60. Sort -7, 0.3, i in ascending order.\nAnswer: -7, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**2 - 344750*l - 86125000 = 0?\nAnswer: -344500, -250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 4*o - 5. Let u(g) = g**3 - 4*g**2 + 9*g + 11. Let b(q) = 13*t(q) + 6*u(q). Let p be b(-1). Does 17 divide (44\/(-5) + 2)*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.91 * -0.16.\nAnswer: -1.2656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.39 - 0.390034. What is u rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72997 (base 12) to base 8\nAnswer: 445003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 609.287 kilometers in micrometers?\nAnswer: 609287000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206228 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 40. What is the greatest common divisor of v and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2818719.66 to the nearest ten thousand.\nAnswer: -2820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = d + g, -5*g + 10 = 0. Let l be -3*(-1)\/d*(-560)\/6. Let k be (-9 + 3)*40\/(-12). Calculate the highest common divisor of l and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**2 - 6*s + 5. Let w(y) = y**2 + y - 1. Let h(b) = -l(b) - 4*w(b). What is h(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/28 + 110\/(-8). Let h = o + 24. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h*h**(-5\/4))**(-37) assuming h is positive.\nAnswer: h**(-1295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 7*t = 336. Suppose 243 = -5*k + q + 799, q + t = k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 1. Suppose 0 = -2*t + 3 - 19. Let x(h) = 2*h + 2. What is t*k(n) + 3*x(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105 + 24. Suppose 0 = 5*n + 54 - q. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juujjjsyy. What is prob of sequence yusj?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 2*s**5\/5 - s**4\/4 - 131*s**3\/3 - 1271*s**2 + 5338. What is the second derivative of v(u) wrt u?\nAnswer: 24*u**2 - 6*u - 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-64)\/(-12))\/((-4)\/(-6)). Suppose 3*k = 35 - p. Which is smaller: k or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**3 - 6*a**2 - 6*a + 2. Let n(d) = -15*d**3 - 4 + 5*d + 13*d**2 + d + 7*d. Let k(y) = -y + 3. Let x be k(-10). Determine x*b(w) + 6*n(w).\nAnswer: w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*z - 22*z + 5*z.\nAnswer: -47*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 10*q = -0*s + 64, 3*q = -4*s + 34 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(17)*2*6)**2.\nAnswer: 120*sqrt(17) + 2473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 12. Let x(b) = -3*b - 13. Let f be 10\/(-4)*(-16)\/(-30)*-3. Let k(n) = f*w(n) + 3*x(n). What are the prime factors of k(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/3 - 4\/6. Let p be (10\/i)\/((-1)\/2). Suppose p*x - 3 = -m + 7, 5*m = -x + 2. Solve -7*d + 3*d - 26 = 2*b, m = 5*d + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 4:49 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034131 (base 7) in base 12?\nAnswer: b9208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 22*x - 150367 = 1303349. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -118 + -376c77?\nAnswer: -377092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1676229*0.2.\nAnswer: 335245.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 1) + -1 + (-272)\/(-48)*(-84)\/238\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 7*b - 215 - 2*b**2 + 108 + 105. Give x(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 3*i + 8. Suppose -i*r - 3 + 5 = 0. Let k(g) = -g - g**2 + 1 + 2*g + 0 + g**3. Let p(u) = 4*u**3 - 4*u**2 + 6*u + 7. Determine r*p(c) - 6*k(c).\nAnswer: -2*c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + (-4 - (-2)\/1). Suppose -2*y = d*g + 8, -3*y - 4*g - 16 = -0*y. Which is smaller: 1\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(1720\/(-70))\/43.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3)\/(-9))*(-2)\/4.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4 and -53\/97856.\nAnswer: 97856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 4, u: 3}. What is prob of picking 4 h?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(84\/9)*(-2758)\/2167.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 3, 2\/7, 5, -1911 in descending order.\nAnswer: 5, 3, 2\/7, -1, -5, -1911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(28))*-3.\nAnswer: -6*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 0.2?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 88872887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Divide -15040 by 4.\nAnswer: -3760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 512364*l*v**2 + 89*l*v + 55*l - 26*v**2 + 24*v - 11 wrt v?\nAnswer: 1024728*l - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*n*p**4 + 29175*n*p**2 - 6*n - 213951*p**4 - 6 wrt p.\nAnswer: -1008*n*p - 5134824*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6922510 divided by -10.\nAnswer: -692251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - 0.1. Let k = 0.16 - 1.16. Let n be (0\/4 - 2)*(-5)\/(-2). What is the closest to k in -4, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**5\/20 - 3*d**4\/4 + d**3\/6 + d**2\/2 - d. List the prime factors of q(9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1556, 4, -8419.\nAnswer: -8419, 0, 4, 1556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 1139\nAnswer: 1139.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**3 + 5*h**2 - h + 2. Let v(c) = -c**3 - c**2 + 1. What is -n(i) + 4*v(i)?\nAnswer: 3*i**3 - 9*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/x**(-3\/7)*x)*x**(-1\/4))**(-2\/19))**(-34) assuming x is positive.\nAnswer: x**(-1275\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*w - 333 = 704 + 160 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w - 28. Let z(a) = 21*a + 24. Let d(x) = -10*x - 13. Let t(y) = -13*d(y) - 6*z(y). Let b(h) = -4*m(h) - 5*t(h). Give b(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -186 + 2416\/13. Let i = 1322 + -1323. Which is the closest to i? (a) h (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3 - 34*t**2 + 120*t = 0. Calculate t.\nAnswer: 0, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -307*w + 4631. Give j(15).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -9.18248?\nAnswer: 9.28248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, 105\/2, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 183014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gccc when four letters picked without replacement from {g: 14, c: 5}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d - 35. Let i be k(11). Calculate the highest common divisor of 150 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2043 and -0.09.\nAnswer: 183.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -687?\nAnswer: -3435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/j**0)*j\/((j*j*(j**(-3)*j)\/j*j*j)\/j*j))\/(j\/(j*(j**(-2\/7)*j)\/j)*j**6))**(4\/7))**(-47) assuming j is positive.\nAnswer: j**(6956\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*c - 3*t + 4, c + 12 = 3*t. Suppose 0 = -i + 6 - c. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2*t*t*t**(-1\/8)*t**(-2)*t**(2\/5))**(-1\/7))**(-2\/39) assuming t is positive.\nAnswer: t**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + x**2 - 33008*x + 5. Give y(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is 249191963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 6*o - 83. Let r be h(24). Calculate the highest common factor of r and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2*i - 2 = 7*b, -4*i - 26 = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.03081 nanograms in milligrams?\nAnswer: 0.00000903081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/2142 and 31\/305694.\nAnswer: 2139858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/7)\/x*x*x*x**6*x**(-3)*x*x\/x**(-3\/4) assuming x is positive.\nAnswer: x**(197\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q - 26. Let y be p(-5). Is y != -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 - 139*h**2 + 92*h - 86. Determine i(-47).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 296, 299, 304, 311?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 835 - 42*r**2 + 42*r**2 - 836 - 12*r**3.\nAnswer: -12*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 729 = -2*f + 5*f, 3*f + 724 = 4*c. Let v be ((-83)\/(-2))\/((225\/54)\/(-25)). Is f smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14641 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 0*s + 3*s)*(1 + 1 - 4)*(-12 + 21 - 16) in the form u*s + a and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qlllllqllllqql.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 975.51 - 973. What is the second smallest value in -0.2, c, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**5\/7 + 599068*p**4\/7 - 22478899916*p**3\/7 + 521193492860*p**2 - 1032753513792*p + 514771206768 = 0.\nAnswer: 1, 161, 74802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1015 + 1018. Solve -t*m + 7 = 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343487?\nAnswer: 389, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*r + 27 = 28, -5*t + 14 = 3*r. Let n = -14 + 12. Put 0.2, n, -2\/5, t in decreasing order.\nAnswer: t, 0.2, -2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, d: 1, x: 6, u: 3, w: 3, p: 1}. Give prob of sequence dpff.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2736) + -4*sqrt(2736) + sqrt(2736) + -4).\nAnswer: -48*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 84, 191, 340?\n\"Answer: 21*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2 = -5*p, -5*p - 600 = -x - 599 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**8\/336 - h**7\/35 + h**6\/20 + 4*h**5\/15 - 5*h**4\/8 - 3*h**3 + 32*h**2 - 7*h. Factor m(x).\nAnswer: (x - 3)**2*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-10))\/((-4)\/(-10)). Let l be n*8\/(-6) - -1. Solve 5 = l*c + 5*y, 2*c - 2*y = -0*y + 18 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) - sqrt(176)) - (-1 + sqrt(11) + -5).\nAnswer: -19*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5475.91968 nanoseconds in weeks?\nAnswer: 0.0000000000090541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 28. What is the remainder when 122 is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)\/(z**3\/z))\/(z**(2\/3)\/(z**(-1\/4)*z)) assuming z is positive.\nAnswer: z**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/7, 0.1, -18, 2.91?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 11*t - 36. What is the remainder when s(13) is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136913 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 37. Let s = -22 + a. Let o = s - -2. What is the closest to -0.1 in 4, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s**3 - 2*s**2 + s - 4. Calculate y(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = 15*g - 35*g + 186446. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -177, -11, -8.731 in descending order.\nAnswer: -0.2, -8.731, -11, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 79683 - 3?\nAnswer: 79680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79.5858 - 79.3. What is r rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 15. What is the nearest to w in 1, -2\/3, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, 2, -2, 0 in descending order.\nAnswer: 55, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84*h**2*n + 214*h**2*s**2 + 3*h*n*s**2 wrt n.\nAnswer: -84*h**2 + 3*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13320401 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1346708596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 14 = v, 0 = -5*v + 4*w + 2 - 70. Suppose 2*f + 4*x = 5*x - 6, -5*f - 10 = -5*x. Let y be 28\/(-35) + 1\/(-5) - 4. Put f, 3, v, y in ascending order.\nAnswer: v, y, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -17, -69, 4\/3, -14, -15, 5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-29969)\/(-15) - ((-84)\/18 - -4). Let s = o + -2006. What is the common denominator of 73\/4 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80307403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/13 - 4*n\/13 - 160\/13 = 0 for n.\nAnswer: -8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 23 = m, 6*m + 1244*f + 1244*f - 26 = 2490*f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.41139 microseconds to minutes.\nAnswer: 0.0000006068565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + k**2 + 15408*k**4 - 15403*k**4 - 5 + 2*k**2 to g*k**4 + j*k + c*k**2 + a + h*k**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*s + 74*s = 33*s - 138096. What is the greatest common factor of s and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955482967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 5) to base 16.\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5728329 - -8883329. Let s = 3155000.06999955 - t. Let n = s - 0.07. What is n rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42 + 0)*(-3)\/((-54)\/12). Find the second derivative of -k*i**5 + 15*i + 3 - 22*i - 3 wrt i.\nAnswer: -560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -32. Let j = a - 4. Does 12 divide (-1)\/3 + 327\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - -3 - -4)\/((-1)\/2). Let u be -4 - 5564\/(-2) - j. Suppose 4*r + 5*x - x = 2208, -5*r = x - u. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-392)\/(-1764))\/(13\/(-1170))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 535\/(10\/2). What is the greatest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 25*s - 17. What is c(-12)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fs when two letters picked without replacement from fgogoofosoogofofoo.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 758636\nAnswer: 303454.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -825.58 rounded to zero decimal places?\nAnswer: -826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*h + 61. Let t be h\/9 - 1\/(-3). Solve -2*z**3 + 7*z + 2*z**2 - 3*z + 0*z**t = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 0)*(39 + 30*a - 39) - 2 + 2 - a + (a - 3 + 3)*(-1 - 1 + 1) to j + y*a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 432321023?\nAnswer: -432321003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -965.752485 rounded to the nearest integer?\nAnswer: -966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*a**3 - 100*a**3 - 3 + 2 + 1.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 591 = d, -4*d + 235 = j + 821. What is the common denominator of 6\/2 - j\/(-70) and (0 - 0) + 324\/30?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*a**3 + 152*a**3 + 91*a + 49*a - 40 + 160*a - 630*a**2.\nAnswer: 5*(a - 2)*(7*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 188*v**3 - 7276*v**2 + 74500*v - 151892 = 0. What is v?\nAnswer: 127\/47, 13, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 21*y = 231. Calculate the remainder when 251 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 - o**2 - o. Let a(p) = p**3 + p**2 - p - 1. Calculate -2*a(s) + 2*f(s).\nAnswer: 2*s**3 - 4*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 - 1 = 0. Suppose 28 = 2*s - 2*k, 5*s - 2*k = -17 + 81. Let z = d + s. Solve c = -c + z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 19*v - 60. Let j(b) = b**2 - 24*b - 71. Let a be j(27). Let m be r(a). Solve -6 = -2*k + g - 5*g, -m = 2*k - 5*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 226*k + 1. Let r(d) = 16*d. Calculate -2*j(n) + 6*r(n).\nAnswer: -356*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17 - 11)*(-2)\/(-21)*7. Solve 2*s = -z + w - 5, 8 = -z + 5*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 f, and 1 n when three letters picked without replacement from {u: 2, o: 3, n: 1, f: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 62 = 80. Put -15, m, -2, -5 in descending order.\nAnswer: m, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 431, 432, 433, 434, 435, 436?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35080.4 - -35084.4. Let j = 0.2 + -0.3. Let r = -1.1 - j. Which is the third smallest value? (a) -0.5 (b) -0.1 (c) r (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from wpggagwgfwfgffgmafwg.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1816*k**6 + 1137*k**2 wrt k?\nAnswer: -217920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o - 1 - 4 + 6 + 2*o**2 - o. Let b be s(3). Let m be (-4 + b)\/3 + 2*1. Solve -3*y - m = -5*u + 6, 4*u - 4*y = 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9500083.5 to the nearest 10000.\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -119*i**2 - 4*i - 141. Let s(r) = -239*r**2 - 9*r - 282. Suppose 72 = -23*d + 15*d. Let t(u) = d*w(u) + 4*s(u). Differentiate t(l) wrt l.\nAnswer: 230*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 48274169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/1328 and -5\/13.\nAnswer: 17264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 4 (c) 1\/104 (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3 + -1*7\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 4*v**3 - 5*v**3)*((18 + 12 + 11)*(2 + 2 - 6) + 0 + 2 - 3).\nAnswer: 166*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1151388780 from 0.61.\nAnswer: 1151388780.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/1 + -2 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 158\/5. Suppose 0 = 5*m - 9*m + 2*a - 22, -4*a + 20 = -4*m. Which is smaller: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/10*8\/(-64)*-12*1100\/(-495).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 258, 265, 272, 279?\n\"Answer: 7*s + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11908, 12022, 12136, 12250, 12364, 12478?\nAnswer: 12592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.0853\nAnswer: -0.2559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/24 and 68\/435?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 118075 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47.1*5.\nAnswer: -235.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*x + 609*x**2 - 1797*x**2 - 110*x + 590*x**2 + 604*x**2 + 57*x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -403*l**4 + 112*l**3 - l**2 + 226164*l.\nAnswer: -4836*l**2 + 672*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3029*g**3*p**5 + 19538*g**3*p**2 + 18323712*g**3*p - g**3 - 2*g wrt p.\nAnswer: 60580*g**3*p**3 + 39076*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*r**2*u + 5183*r**2 wrt u.\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -6, -46*x = -48*x + 2*t. Put 5, 4, x, -9 in ascending order.\nAnswer: -9, x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39115?\nAnswer: 5, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 78 - 55. Calculate the remainder when r is divided by 4\/((-1)\/3*-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 3, i: 4, b: 2}. What is prob of sequence dg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(4\/7))**1\/(q**(-2)*q**(-13)\/q))**(-44) assuming q is positive.\nAnswer: q**(-5412\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04037785*0.2.\nAnswer: -0.00807557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 766263*q + 14558992. Give o(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.4 (c) -0.03 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 77.33112m?\nAnswer: 77331120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*((sqrt(88) + 2*sqrt(88))*-2 - 3*sqrt(88)*-2))\/((sqrt(32) - sqrt(288) - sqrt(32))\/sqrt(4) - (sqrt(8) - sqrt(64)\/(sqrt(8) - sqrt(288)))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 119690 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -184*b + 210*b - 80. Let a(w) be the first derivative of -w**3\/3 + 3*w**2 + 5*w + 1. Calculate a(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/t**5*(t\/(t\/t**(-2\/3)*t*t))**(-16))\/(((t\/(t\/(t\/((t**(-2\/5)\/t)\/t)*t*t)))\/(t\/t**(-1\/4)))\/(t\/t**(2\/5))**15) assuming t is positive.\nAnswer: t**(2491\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3989.\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*f + 171*f + 29 = 2*v, 22 = v - 3*f for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 943838 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 5*y - 422, -4*x = -6*y + 2*y + 440. Let p = -55 - x. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-13)\/q)\/((((q*(q\/(q*q*q**(1\/14)*q*q))\/q)\/q)\/q)\/q*q))**2 assuming q is positive.\nAnswer: q**(-97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y + 2. Let v be j(-6). Let z = -19 + v. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*b - 2*b + 0*b + (3 - 2 + 1)*(-4*b + 2*b + b) + 4*b + b - 6*b + 17*b + 7*b + 9*b.\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56.1 + 59. Let n = -0.1 - y. Are -1 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/4)\/((-3)\/(-21)). Let h = 12 - p. Solve -x + 0*x = 2*l - 12, -h*x - l + 24 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - (1 + -14 + 5 + 11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-9 - (1 - 9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c + 4. Let k be (-10)\/(-8) - 2\/8. Let z = k - c. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 606 + 1888. Let v = f + 1810. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23417286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n. Let d(x) be the second derivative of -3*x**3 - 7*x - 3. Calculate d(v(c)).\nAnswer: -144*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w - 4*w**2 + 3 + 0*w + 0 + w. Let c(o) = o**2 + 1. Let n(v) = 3*c(v) + d(v). Determine n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 5*y + 2*u, -5*u + 115 = 2*y + 3*y. Solve -k - 23 + y = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -814*o = -790*o - 115224. What are the prime factors of o?\nAnswer: 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -235 + 252. What is the remainder when 62 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w = -43*w - 378. Differentiate 8 + w + 20 + 19*h with respect to h.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssfvmssqsfssuqmsmsvs. Give prob of picking 2 q.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2199968 is divided by 4365?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 9*p - 9. Let u(s) = -2*s**2 - 5*s + 5. What is -4*k(f) - 7*u(f)?\nAnswer: -2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145*g = -12674 - 11371 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/60)\/((-20)\/50)*(35\/2)\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + 6 - -26*1 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2. Let x(v) = -v + 14. Let w(u) = -14*i(u) - 2*x(u). Let p(t) = 46*t**2. Determine w(p(z)).\nAnswer: 92*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r + 166 = 1678. Calculate the remainder when r is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 - 29 + 307*g + 553*g + 46)*(-5 + 3 + 3) as h + w*g and give w.\nAnswer: 860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a tonne in kilograms?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - l + 1. Let g(i) = -11*i. Let s(j) = 2*g(j) - 2*v(j). Let a = -26 - -37. What is the units digit of s(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 15*o + 123. Let z be t(18). What is the derivative of 85*g - 47*g + z*g**4 + 105 - 38*g wrt g?\nAnswer: 276*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -252053 + -114?\nAnswer: -252211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 6 (c) -5 (d) 1\/4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by -22952?\nAnswer: 65\/22952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10621)\/152 - (-180 + 110).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 164020*z + 656095. Calculate q(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*(8 + -4). Let y be (-162)\/(-8)*(-144)\/(-27). Let n be (a\/(-4))\/(9\/y). Calculate the highest common divisor of 9 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 5 = 0, 4*n - 21 = 5*p - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*n**2*q + 3*n**2 - 52*n - 34*q + 68 with respect to n.\nAnswer: -104*n*q + 6*n - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-4)\/(-36)*-3. Is a smaller than 1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 45*q**2 - 1. What are the prime factors of d(1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 853\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 0*h - 4*h**2 + h**3 + 34 + 45*h**2 - 13*h**2. What are the prime factors of k(-28)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 693614939 to the nearest integer?\nAnswer: 26337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115495?\nAnswer: 5, 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, g: 7}. What is prob of picking 2 g?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 3*j**4\/4 + 52*j + 1. Let q(d) = -3*d**2. Determine a(q(z)).\nAnswer: 81*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 2*c**2 + c**2)*(-9 + 5*c + 9) + c + 0*c - 2*c - c - 2*c**3.\nAnswer: 18*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 13. Let k be n(-6). Let d(x) = x**3 - 8*x**2 + 7*x. Calculate d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 9*w**2 - 8*w - 1. Let d be a(8). Let m(j) = j. Let o(c) = -6*c**2 + c. Let x(p) = d*m(p) + o(p). Let n(h) = 3*h**2. Determine x(n(v)).\nAnswer: -54*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**2 + 17*q - 4873. Determine d(-33).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55483306 to the nearest integer?\nAnswer: 7449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzt when three letters picked without replacement from {z: 6, t: 4, n: 2, f: 1, w: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((231\/2552)\/(-7))\/(2\/8))\/(9\/18).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.889023 to three decimal places.\nAnswer: -0.889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 953*j**3 + j**2 - 8*j + 7. What is the units digit of p(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*i - 268 - 102 = -8*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58 - -60. Suppose -5*z + 3150 = -5*i, -j*i + 1280 = 2*z - 0*i. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**4 - 2*m**3 - 2*m**2 - 8*m + 339. Let z(u) = -11*u**4 - 9*u**3 - 9*u**2 - 32*u + 1358. Let p(d) = 9*s(d) - 2*z(d). Differentiate p(l) wrt l.\nAnswer: -20*l**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.052712 not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1427 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 7*a**2 - 2*a + 2. Give f(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41.41 - 0.41. Let m = i + -28. Which is the biggest value? (a) 0.3 (b) m (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.15 - 10.15. Let a = 14 + x. What is the closest to -1 in -1, a, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116253336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and 53.39244061866?\nAnswer: 60.39244061866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103 and 2645349?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 730 = 4*o + 50. Let n = o - 50. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 86\/141361 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -225, -252, -299, -372?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 9:52 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*g**5 - 177*g**3 + 2*g**2 - 1068831*g wrt g?\nAnswer: -560*g**3 - 1062*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -162.\nAnswer: -162, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -169 (base 16) to base 8\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 1 - 4) + -18 + 21\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*j**4 + 2\/15*j**5 + 0 - 2\/15*j**3 + 0*j + 0*j**2 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 2. Let v(x) = -4*x - 7. Let w(l) = -21*b(l) - 6*v(l). Let p(d) be the first derivative of 3*d**2\/2 + 5. Determine w(p(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + 5*r - 9. Let j be v(6). Let f be -2*11\/(11\/(-54)). Let d = j + f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 0 - 1\/6*a**3 + 4*a + 0*a**2. What is the units digit of c(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*(w\/(w*w\/w**(2\/7)))\/w)*w)\/w)**5\/(w*w\/(w*w*w\/(w\/w**(2\/23)*w)*w*w)*w**(-5\/6)) assuming w is positive.\nAnswer: w**(14965\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166 = -125*h - 315 + 1024 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5570 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -30925?\nAnswer: 2\/1237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0 = -10. What is the closest to -1 in f, -6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d**(-25\/3))**23 assuming d is positive.\nAnswer: d**(-851\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 10404.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -2\/6317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379, 1751, 7545, 18839, 37469, 65271, 104081, 155735?\nAnswer: 222069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s - 20 = 0. Suppose -4 = -4*m + 5*l + 8, -3*m + 4*l = -9. Suppose -m*c + 0*o + s = o, 5*c - 10 = 5*o. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:48 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -211811 or -7.1?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 9 = -0*m. Let i = 12 - m. Suppose -i*h + 8 = -h. Solve -3*t - h = 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5618 + 5623. Let x(j) = 24*j - 19*j + 8*j**3 + 5*j**2 + 7*j**3. Let w(l) = -8*l**3 - 2*l**2 - 2*l. What is z*w(k) + 2*x(k)?\nAnswer: -10*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113.9 - 114. Which is the third biggest value? (a) h (b) -1 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from iecececeeciceecc.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169713 = -23*i + 611699 - 168048. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2266*f**2 - 2*f + 8208 with respect to f.\nAnswer: 4532*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*g - 2*g. Let y = g + -12. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 224 - 5?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 9 = 5*w - 9*c, 5*w - 3*c = -1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 10*c**2 - 11*c + 11. What is the units digit of d(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9760 divided by -5\nAnswer: -1952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, v: 9}. Give prob of sequence rvv.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25633 + 76898\/3. Let a(s) = -s - 4. Let g be a(-3). Let u be 0\/(-2 - (g - 0)). Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 124038.\nAnswer: 2480760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -116 (b) 0.2 (c) 0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 + -0.01. Let o = t - -1.94. Let q = o + -6. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 3*s + s = -9*m + 5, 5*s = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2530132, -2530128, -2530124, -2530120?\n\"Answer: 4*u - 2530136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 48\/4 + -1 + 0. Let z = r + -43\/4. What is the nearest to -2\/3 in z, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 + 2*o**2 - 5*o**2 - 137 - 7*o**2 + 17*o**2 as v + d*o + c*o**2 and give v.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - y**2 - y - 16. Let r be p(0). Calculate the common denominator of ((-3)\/(-120))\/((-6)\/(-1515)) and ((-2)\/r)\/((-2)\/212).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1949740 and 260.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 39*l + 345. What is r(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + v + 22 = -i, -4*i - 4*v = 8. Find the third derivative of 4*y**3 - 2*y**3 - 6*y**2 + 5*y**5 - 2*y**i wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23 - 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 125187 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27518353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -5*b**3\/3 + 175*b**2\/2 + 570*b + 699. Factor n(x).\nAnswer: -5*(x - 38)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, 2\/7, 1\/24, -2\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13 - 312*u**2 + 3*u**3 + 11 - 2*u**3 + 2*u + 323*u**2. What is r(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - 4*j**3 - 4 - 28*j**3 + 13*j + 2 - 5*j in the form g*j + k*j**3 + d*j**2 + i and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62095890*j**4 - 3*j - 119088.\nAnswer: 745150680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913912026?\nAnswer: 2, 3, 67, 109, 20857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(45)*1*2 - (sqrt(15)\/sqrt(3)*-4 + -5)).\nAnswer: 4 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24782 divided by -2.\nAnswer: 12391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -0.1 (c) 0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 2*a + 30. Let o = a + 193. Calculate the highest common factor of o and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**4 - 3*c**4 + c**4 + (c + c - 3*c)*(-4*c + 4*c + 2*c**3))*(0*c - 5*c + c).\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7120 + 7120 + 64*a**3 - 4*a**2 wrt a.\nAnswer: 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/5)\/x**(-13\/3))\/(((x\/(x\/(x\/(x**4*x)))*x)\/x)\/x)**(1\/16) assuming x is positive.\nAnswer: x**(827\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*v + 8, 4*v + 2 = 2*d - d. Suppose 18*g + 62 - 24 = -16. Sort 0, 5, d, g in ascending order.\nAnswer: g, d, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9 - 1)*1\/2. Let s(v) = 33*v**2 - 8*v + 6. Let q(g) = -22*g**2 + 5*g - 4. Let p(l) = h*s(l) - 8*q(l). Is p(2) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)*(-1 + 19). Suppose 3*a = m + 21, -28*a = -23*a + 5*m - 75. What is the greatest common factor of a and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.39999847 + 30.4. Round p to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6518\/5 - -110056\/85. Which is smaller: -9 or z?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 479*g + 0*g**2 - 470*g + 12 + 82*g**2. Is 6 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3.652, -20\/7, 98?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3\/3 + 1581364*j**2\/3 + 527120*j = 0. What is j?\nAnswer: -395340, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5)*-1 + 210\/(-50). Let b be (-5 - 22\/w)*-20. Calculate the remainder when 39 is divided by 4\/b*-10 - (-1 + -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6 greater than or equal to -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(33\/55)*6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 582.17 - 579. Let b = f + -0.17. What is the second biggest value in -1, -5, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.07, 4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39 and 20594.\nAnswer: 803166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + 2*sqrt(162) - sqrt(162)) + 4 - (sqrt(162) + 0 + 1)*-5)**2.\nAnswer: 3024*sqrt(2) + 23524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 21*r + 106. What is j(17)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-75)*10\/(-4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 120 + 388 = 158 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -575 - 0.895240513.\nAnswer: -575.895240513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/2*(-660)\/(-250)*-25.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sississsssyssssis. Give prob of picking 3 s.\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4203*t - 18 - 4603*t + 18 + 947*t to p + d*t and give d.\nAnswer: -7859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4494722 and 28274?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*m**3*x**2 + 49*m**3 - 5*m*x**2 - m*x wrt x?\nAnswer: -20*m**3 - 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0761183 to three decimal places.\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 2 = -2*i. Let c(n) = 132*n. Let z(d) = -19*d. Let j(h) = 3*c(h) + 22*z(h). Is j(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*l - l. Suppose 0*j = u - l*j + 26, 5*j = 4*u + 92. Let w = u + 30. What is the remainder when 22 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6199741 by 149.\nAnswer: -41609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 1669.\nAnswer: 5007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 + 151. Calculate the remainder when 24 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212554 + 52846 = 20*x. Is 32 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 34698300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b = 0. Suppose -5*m + 9*m - 20 = b. Suppose -2*p - m*i + 68 = -2*i, p - 4*i - 56 = 0. Solve -5*n - p + 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 236 divide 18748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 18, r: 2}. What is prob of sequence rrq?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-63)\/54)\/(77\/(-99))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(98) + 1 - sqrt(98)) + (2 + (sqrt(98) - 1*sqrt(98) - sqrt(98)))*-2 + -1.\nAnswer: 3 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47708*y - 19820 - 9976*y + 19820.\nAnswer: 37732*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -32. Let q = c - -35. What are the prime factors of q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**4 - 133*b**3 + 2*b**2 + 22640*b?\nAnswer: -24*b**2 - 798*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1 + (267 - 259) + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -640882144 divided by -80110268\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbkwcecw. What is prob of sequence bekw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 461776\/7068*(36\/8)\/(-9).\nAnswer: -98\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 15.1 + -0.049667277275\nAnswer: 15.050332722725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:47 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -0.4, 13, 15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, 0.1, -1, 0.2, 8, 6.4.\nAnswer: -1, 0.1, 0.2, 0.8, 6.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11109, 11101, 11089, 11073?\n\"Answer: -2*x**2 - 2*x + 11113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 8*b**2 - 18*b + 113. Determine z(7).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 4. Calculate s(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 5. Let j(s) = 3*s**2 + 15*s - 9. Let l(k) = -k**2 - 5*k + 1. Let h(t) = j(t) + 2*l(t). Calculate h(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17494 is divided by 124.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 591*d + 30361. Calculate l(-52).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*a - 60*a - 51*a - 44*a - 45*a + 247*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/96 - (-86)\/(-2064). What is the smallest value in 5, -3\/5, h, -9\/2, 0.5?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 + (-352)\/(-24). Suppose -c*a = -18*a + 177. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37795464 and 21168?\nAnswer: 75590928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -10*b**2 - 5*b - 1. What is o(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50494023 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 75 (b) -1\/5 (c) -124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 6*n - 4*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23525 is divided by 89.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 5*a + 10. What are the prime factors of x(-8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20055062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 36*z**3 - 6*z + 14. Let q(k) = -k**3 - 2. Let x(m) = -h(m) - 10*q(m). Let a(l) = 26*l**3 - 7*l - 7. Calculate -6*a(g) - 7*x(g).\nAnswer: 26*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 339996 and -0.02.\nAnswer: -6799.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -eb - 0?\nAnswer: -eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10749 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s - 5*s)*(4 - 3 + 1).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 25, -4*d - 30 = 59*q - 64*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -729, 4, 77 in descending order.\nAnswer: 77, 4, -729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9244 - -139?\nAnswer: -9106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -11*p**3 + p**2 + 6*p - 17. Let c(g) = 9*g**3 - 5*g + 13. Determine 4*b(u) + 5*c(u).\nAnswer: u**3 + 4*u**2 - u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - -7. Let o = 96 + -97.15. Let g = o + -2.85. Sort 1, b, g in descending order.\nAnswer: 1, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -410, -353, -304, -263, -230?\n\"Answer: -4*j**2 + 69*j - 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*t + 33, 5*v = -3*t + 115 + 29. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1.7, -4, -0.21, -4230, 1 in decreasing order.\nAnswer: 1, 0, -0.21, -1.7, -4, -4230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 v, and 1 u when four letters picked without replacement from {x: 3, s: 2, u: 1, v: 1, h: 3, m: 8}?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3429, 6645, 9861, 13077, 16293, 19509?\nAnswer: 22725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 + 6 = 0. Calculate the remainder when (4\/o)\/(4\/(-138)) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 11*b + 30. Let d be i(-6). Suppose 2*f - 5 - 1 = d. Suppose 289 = f*j - y, 4*j + 3*y = 5*j - 107. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 28916984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4790*g - 25 = -4790*g + k, -2*k - 25 = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 16*j. Let r(y) = 402*y. Give w(r(p)).\nAnswer: 6432*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 7 = 16*d. Let o(i) = 84*i**2 - i - 1. Let t be o(d). What is the greatest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 11. What is the common denominator of c\/(-2)*48\/132 and 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q\/((q**25\/q*q)\/q))*q)**(2\/131))**(-11) assuming q is positive.\nAnswer: q**(-572\/131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6865244 and -0.2.\nAnswer: 6865243.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8*w - 2. Let p(o) = 17*o + 5. Let s(d) = -5*n(d) - 2*p(d). Let k(q) = -q. Calculate s(k(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -21*u**6\/2 + 47*u**2\/2 + 55. What is the second derivative of i(x) wrt x?\nAnswer: -1260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 - 3. Let q(x) = x**3 + 2*x**2 - 4. Let f(b) = 4*n(b) - 3*q(b). Solve f(i) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -35 (c) -40\/187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2)\/(((-376)\/(-28106))\/(2\/13))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 25*v**2 - 6. Let c be l(-4). Suppose 2*o = -c + 802. Calculate the lowest common multiple of o and 6.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + -7. Let i = 329 + -314. Let d = i + x. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168.22 + -167.72. Which is the fifth biggest value? (a) 0 (b) 2 (c) 2\/7 (d) -2\/17 (e) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -5 + 7 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7501340123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjeg when four letters picked without replacement from egtbcbj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30049*x**3 + 4*x**2 + 29635*x**3 + 2*x - 4*x**2 - 2*x.\nAnswer: -414*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 10:28 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 9a1 (base 13) to base 5\nAnswer: 23102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*z + 3. Let c be z - (-1 - (-18)\/(-3)). Let w = 3 + c. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590.9168229 rounded to the nearest integer?\nAnswer: -591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 71 = 4*t - 94, -2*t = -4*l + 6. Put -2\/1113, 1, l in ascending order.\nAnswer: -2\/1113, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5124611+960.59\nAnswer: 5125571.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 456\/(-95)*(-5)\/3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 26*t - 12. Let d be s(8). Suppose -2*v = -v + 5*w - 32, -3*v = -5*w - d. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*q + 398 - 320 = -906 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 21*i**3 - 4*i**2 - 4*i + 2. Suppose -16*d + 13*d + 5*v - 6 = 0, -d - 4 = -v. Let n(r) = 42*r**3 - 7*r**2 - 7*r + 3. Calculate d*p(x) + 4*n(x).\nAnswer: 21*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 0, 2 in ascending order.\nAnswer: -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -45431.159 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67b5a1 - -44?\nAnswer: 67b625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 e when three letters picked without replacement from {x: 3, e: 8, o: 6}.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 + -5 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o - 5 - 28*o**2 + 10*o + o.\nAnswer: -28*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12*105\/(-56))\/(2\/24). What is the second derivative of -1 - 828*p**2 - 824*p**2 - l*p + 1 + 1583*p**2 wrt p?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -35*w. Let o(s) be the second derivative of s**3\/3 - 137*s. What is x(o(y))?\nAnswer: -70*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 546 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -208149, -2\/13, 1, 4?\nAnswer: -208149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z - 7*z - 21*z**2 + 11 + 0*z**2. Let l(j) = 4*j**2 + 2*j - 2. Suppose -19*q + 20*q + 11 = 0. Determine q*l(a) - 2*d(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/(55\/(-110)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2, 0.4, 39\/4, 2\/9, -0.09?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -439*f**3*x**3 + 23*f**3*x**2 + 2*f**2*x - 5*f**2 - 8506*x**3 - x**2 - 20 wrt x.\nAnswer: -2634*f**3 - 51036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 4:52 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 607716*h**3 - 40*h + 495 wrt h?\nAnswer: 3646296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454771 is divided by 454546?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Let w(j) = j**3 + 13*j**2 - 30*j + 1. Let i be w(-15). What is the tens digit of 2\/v + i + 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p + 5 = 0. Let g(o) = -19*o - 1. What is the remainder when ((-20)\/8)\/((-50)\/(-120)) - -57 is divided by g(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 1\/21, 266\/83 in decreasing order.\nAnswer: 44, 266\/83, 1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6603999 to the nearest integer?\nAnswer: 2570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4)\/(-36)*12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44\/40 + 1\/(-2). Let t = 56 + -45. Let q = t + 0. Which is the biggest value? (a) -4 (b) q (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - 1) - (-8 + 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**3 + 1705*w**2 + 179777*w - 181421. Let x(m) = -12*m**3 - 5114*m**2 - 539330*m + 544274. Let v(r) = 14*p(r) + 5*x(r). Factor v(t).\nAnswer: -4*(t - 1)*(t + 213)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715.6809 litres in millilitres?\nAnswer: 715680.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -143*t + 1. Let l be s(-1). Suppose -4*r = -4*f + 8, 3*r + 4*f - 8 = r. Suppose k - 1 - 15 = r. What is the greatest common divisor of k and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -516613 at least -516613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 105 = -4*o. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 727, 1573, 2757, 4279, 6139, 8337?\nAnswer: 10873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12655026 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in 1.2, -0.2, -0.0251, -30, 0.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*h - 10. Is 5\/(15\/27544) + 2\/h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 1\/4*w**5 + 0 + 0*w**3 + 0*w**2 - 29*w + 1\/2*w**4 - 1\/30*w**6. Factor q(x).\nAnswer: -x**2*(x - 6)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2321010 - 41543?\nAnswer: 2235023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1320202234 (base 5) to base 15\nAnswer: 44e27e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * -18.4.\nAnswer: 2.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s**2 - 183*s - 507. Determine l(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 5. Let a be ((-8)\/12)\/((5 + -1)\/(-12)). Give u(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**16\/z*z)\/(z**16*z))**(-8) assuming z is positive.\nAnswer: z**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63 + -49d9cb?\nAnswer: -49da50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:16 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-4\/3)\/s)\/s)*s)\/((s*(s*s**6\/s*s)\/s)\/s)*(s*s\/s**(-2\/27))\/(s\/s**(-4\/3)*s) assuming s is positive.\nAnswer: s**(-52\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.73893 - 4.73893. Suppose 3*z + 5*f = -12, 7*z - 9 = 4*z + 2*f. What is the biggest value in -4\/7, z, m, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 6*s**2 - 11*s + 15. Suppose 3*b - 5 = -4*q - q, 4*q + 2*b = 6. Let k be j(q). Solve k*v = 2*m + 5, 3*m - 3*v = -v - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - l + 3*l. Let j(c) be the first derivative of -c**5\/60 - c**3\/3 - 1. Let y(f) be the third derivative of j(f). Calculate y(d(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2372.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.23 and 32\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96758 - 40973. Let v = -55784.9800001 + z. Let t = 0.02 - v. What is t rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*f**3*h**3 - 12356*f**3*h**2*j + 3*f**2*h**2*j**2 - 6211*f*h**3*j**2 - 126*h*j**2 wrt h.\nAnswer: -336*f**3 - 37266*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76.64 + 0.36. Let r = -74 + f. What is the closest to 1 in r, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -311.1 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g + 8. Let f(o) = -5*o - 9. Let a(u) = -3*d(u) - 4*f(u). Let k(z) = -3*z**2. Give k(a(c)).\nAnswer: -12*c**2 - 144*c - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10) - (-215)\/(-350))*(-38 + 36).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28826 > 28826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 141664 - -1248?\nAnswer: 142912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 + 2*d**2 - d**3 + 1 + 0*d**3 + 5*d**4 as g + h*d**2 + t*d**4 + l*d**3 + s*d and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven halves of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6943 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5186820701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = 2*w - 3*r, -12 = 3*r. Let g = 94 - 92. Suppose 3*m - 3*y + 13 = g*y, y = 2. Sort 0, m, w.\nAnswer: w, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12831607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 40 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3443?\nAnswer: 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22531*y = -375922 - 196318 - 1275302 for y.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*h + 15 + 13 - 61*h in the form r*h + u and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 19. Let f = 1 + -0.9. Let j = 0.2 - 0.3. Which is the nearest to f? (a) j (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-804 - 996 + 365 - 1359 - 716)*(-3*z + 3*z + 2*z).\nAnswer: -7020*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 1111.9.\nAnswer: 6671.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 17*o**2 - 5*o - 30. Let d be c(-16). Let v = -101 + d. Let b = v + -71. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 91 (c) -64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.5 and 1.44.\nAnswer: 29.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -3*c**3 + 0*c**2 - 1\/60*c**5 + 0 - 16*c - 1\/360*c**6 + 1\/12*c**4. Let f(r) be the second derivative of k(r). What is f(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5 + 3 - 3*m - 6 - m wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1286 = -2*s + 418. Let v = 827 - s. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 9) in base 12?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-21)*(-72)\/(-48)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/39843 and 151\/212496?\nAnswer: 637488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*p + 36911 = 0, -2*p - 44696 = -4*j + 4500. List the prime factors of j.\nAnswer: 3, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 14*a - 141. Let i be r(7). Suppose -9*t = -i*t - 30. Solve 0 = -z - 5*u - 16, 0 = -6*z + z + 5*u + t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 4*p + p + (24 - 45 + 55)*(-2*p + 2 - 2) to l + q*p and give q.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-216))\/((-46)\/69*4\/(80\/(-3)))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or 23166?\nAnswer: 23166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c**2. Let q(z) = 36*z**2. Let d(o) = -2*q(o) + 11*t(o). Let v(a) = 3*a - 9*a + 4*a. What is v(d(p))?\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in -8, -7126, 0.41?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65023 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.5 + -1.5. Let l = h + -5.9. What is the smallest value in -3, -5, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530, -97, 498, 1261, 2198?\nAnswer: 3315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7170661?\nAnswer: 157, 45673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t = 11*t + 11. What are the prime factors of 1\/(((-4)\/(-1176))\/t)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sas when three letters picked without replacement from ass?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3648*o**4 + 142*o - 21 wrt o.\nAnswer: 43776*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1449 divided by 7714.\nAnswer: 207\/1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 v when three letters picked without replacement from jjjjjjvjjjjjjjjjjj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 o when four letters picked without replacement from oooossosooossooooo.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 7*y**2 + 4*y - 6. Let u be b(-6). Suppose 11*g = -265 + 760. What are the prime factors of 8\/u*g\/5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16214 and 173030.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(11)))**2 + (sqrt(55)\/(sqrt(5) + sqrt(25)\/sqrt(5)))**2 + -1.\nAnswer: 18*sqrt(11) + 439\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14589 - 189639\/13. Which is the closest to j? (a) 0.2 (b) -6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = 12. Put -24, 2, p, -5 in descending order.\nAnswer: 2, p, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-3) + 2)*-1 - -115. What is the greatest common divisor of o and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -0*l - 25, -3*l = 3*p - 36. Put 5, p, 0 in increasing order.\nAnswer: 0, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111483.\nAnswer: 29, 38327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141 = 5*s + 15*z - 241, 0 = -s + 4*z - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48458199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 2*d - 1. Suppose 5*w + k + 31 = -0*k, 2*k = 5*w + 43. Let z be (-7)\/w*(4 - 1). Give f(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -885 - 203 = 8*t. Let k be 1 + 2 - t\/(-32). Let q = 618\/5 + -124. What is the nearest to q in k, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31068281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-3))\/(190\/285).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 692864677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + z - 2*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*x + 42*x + 106*x.\nAnswer: 161*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 302633, 302636, 302639?\nAnswer: 302642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -680? (a) -0.2 (b) 0.2 (c) 597\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 607837.3 litres?\nAnswer: 607837300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeddeeeeeeeeeeeed. What is prob of sequence deed?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61495999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301 (base 4) to base 11.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*2*1\/(-6). Solve 0 = 4*b - i*o - 6 - 4, 11 = 5*b - 3*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -5, -3, -8\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 233427 (base 13) in base 7?\nAnswer: 10050030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*p + 54. Let l = -34 + p. Suppose g + 2*g = -4*j + 103, 65 = 2*g - j. What is the greatest common divisor of g and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15918.5 - -15919. What is the smallest value in s, -0.4, 1.6, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = -k, 0 = -2*y - 0*y + 2*k + 12. Suppose 2 + 7 = y*n. Suppose -2*z**n - z + 3*z - 1 + z**4 + 0*z = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 + 43*f - 56. Determine x(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, p: 2}. Give prob of sequence pp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098969 rounded to 3 decimal places?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 14. What is the tens digit of 435\/12 - 3\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 0.4 (b) 2\/15 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 137 + -138. Sort 2\/3, o, 2 in ascending order.\nAnswer: o, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24819 + 0.10906. What is d rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 3\/4 in decreasing order.\nAnswer: 5, 2, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.1, -40205, 3, -10 in increasing order.\nAnswer: -40205, -10, -0.2, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.203 in -2.8, 1\/3, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 251*n**2 - n - 1. Is l(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1356.1962 nanoseconds to minutes.\nAnswer: 0.00000002260327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3aa (base 14) to base 16\nAnswer: 2e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 1, l: 5, x: 3}. Give prob of picking 2 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*l + 87 + 1389 = 0 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2342 - -2138. Put z, -5, -7 in decreasing order.\nAnswer: -5, -7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 124 - 107)*(4*v - v - 2*v)*(2 - 6 + 2) to the form o + p*v and give p.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 21*j. Let z(a) = -4 - 9 - 2*a + 20 - 7. Let x(p) = -l(p) + 4*z(p). Let f(r) = -3*r. Give x(f(v)).\nAnswer: 87*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (0 - 1)) + (-25 - -30 - 12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 15*i**3 - 2604*i**2 + 1551*i + 1038 = 0.\nAnswer: -2\/5, 1, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a**2 - 12*a. Let g be b(0). Sort g, -124, 1, -1.\nAnswer: -124, -1, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (67\/45)\/1 - 234\/78. Let n = -16\/15 - k. What is the smallest value in -0.2, 0.1, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193324.\nAnswer: 2, 17, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -279*c + 6. Let b(d) = -119*d + 3. Let h(q) = -14*b(q) + 6*k(q). Let n be (-6)\/(-21) + 65\/(-7). What are the prime factors of h(n)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -22221000120212020?\nAnswer: 22221000120212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2 and (59\/18)\/((-2)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -64\/3*y**3 + 0*y**2 + 0*y**6 + 0*y**5 - 72 + 0*y + 0*y**4 - 48\/7*y**7. Find the third derivative of f(k) wrt k.\nAnswer: -5760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-45 + (-170035)\/2325 + 2\/(-30)*-2)\/2\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 814*s + 26 - 208 + 812*s.\nAnswer: -2*s - 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -128\/21 - -38\/7. Let i = -0.181 + 4.181. Sort i, p, -4 in descending order.\nAnswer: i, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 1180080473?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -260*n + 3234. Determine q(8).\nAnswer: 1154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 55*y + 39. Let d be t(-24). Calculate the highest common factor of d and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/3? (a) 4 (b) 34 (c) -0.1 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620433113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -280 < -299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2268\/(-3960) - 15\/(-50).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546*d + 549*d = -3*j + 22134, -5*j - 4*d = -36889. Does 105 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 4*d**2 - d**2)*(6*d - 2*d - d)*(-d - 2*d + 0*d)*(-1 + 2 - 3).\nAnswer: -72*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 y, and 1 n when three letters picked without replacement from xihnnyhi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/13 + (97 - 100)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*u - 17, -4*j - 2*u = 2*u + 44. Let g = 14 + j. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -68, -129, -194, -263?\n\"Answer: -2*n**2 - 55*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 12:43 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 32, 0 = 326*x - 321*x + 5*n - 810. Solve -2*s + 162 = x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 252211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 353599793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*2 + (-4 - -10). Let q = w - 4. Solve -3*z + 0*z = q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + -1 - -9)*((-208)\/(-78) - (-3)\/2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-2\/7)\/w))**(-6)\/((w\/(w\/(w**8*w))*w)\/w**11))**(-45) assuming w is positive.\nAnswer: w**(4005\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*i - 69*i = -14188108. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - -13) + (-2 - (0 + -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 5*u + 9. Suppose -17 - 1 = -6*r. Let w be p(r). Solve -4*g = -w*s - s - 36, 3*s = 2*g - 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 18 + (-1 - (-7 + 2)) + -9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 309698532 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - m - 800001, -6*a = -5*a + m - 159999. Suppose 0 = -6*j + 4*j - a. Round j to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -171*l + 5. Let t(i) = -2822*i + 83. Determine 5*t(f) - 83*u(f).\nAnswer: 83*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkkqekqkkkqekkke. Give prob of picking 2 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 + (1 - -2) - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 22693 = -12*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.2, -1, 9, 0.3.\nAnswer: -1, 0.2, 0.3, 1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Let z(c) be the first derivative of -t - c**2 + c - 1 + 0*c**2. Calculate z(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173314917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-349)\/(-10) + -1 + -2. Let v = -32 + x. Which is the third biggest value? (a) -5 (b) 1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**3 - 4 + k**2 + 3*k - 3*k**3 - 2 + 7 to the form x*k + g*k**3 + a*k**2 + w and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3511*u + 1783559. What is i(-508)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6882 and 11988?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 2:44 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycccccccww. What is prob of picking 2 w?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1331442 + -118499832\/89. Let v = l - -97027\/5340. Calculate the common denominator of v and 33\/14.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 + k**2 - 6*k. Let o(i) be the third derivative of i**6\/24 - i**5\/20 + 13*i**4\/24 + i**3\/6 - 3*i**2. Let t(m) = 3*o(m) + 7*q(m). What is t(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -4. Let d = -10 - -10.07. What is the biggest value in -3, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2540174, -2540222, -2540266, -2540306, -2540342, -2540374?\nAnswer: -2540402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -bda8d9 (base 15) to base 11\nAnswer: -511a16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7\/(s*s\/(s**(5\/3)\/s))*(s\/(s*s*s**(-1)\/s*s))**(-34\/7))\/(s\/s**4*s\/((s\/s**(-5))\/s)*s**1\/s**2) assuming s is positive.\nAnswer: s**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9099000 rounded to the nearest one hundred thousand?\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/(-228)*(-360)\/(-15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 574699, 574692, 574681, 574666, 574647?\nAnswer: 574624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 598 + 0*z - 598 - 4*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 734256.9 weeks in nanoseconds?\nAnswer: 444078573120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -7*s + 62. Let f(m) = -4*m**2 + 3*m**2 - s*m - 4 - m**2 + 3*m**2. Let n(a) = a + 1. What is -f(b) - 2*n(b)?\nAnswer: -b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*z**2\/4 - 93*z\/2 + 18.\nAnswer: -3*(z + 4)*(17*z - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 8?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68585298.\nAnswer: 2, 3, 11430883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 105 = -b + 6*b, o = -3*b + 63. Let t = b + -16. Suppose 3*n - t = 7. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.65 and 5.8411942816.\nAnswer: 8.4911942816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 3*d. Suppose 0 = -3*f - 0*f + 21. Let q be 4\/14 + (-16)\/f. Let n be 3 - (-3 + 4 - 1). Let k(o) = -o**2 - 2*o. What is n*k(a) + q*g(a)?\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 3*l + 2*l)*(-1 + 2 + 0)*(-7 - 2 + 6)*(-l + 5*l + 0*l).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00027106385 rounded to six dps?\nAnswer: -0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(1\/6)))\/(y\/(((y\/y**6)\/y)\/y))*(y**1*y)**24)\/((((y\/(y**4*y))\/y*y)\/y)\/(y**(3\/4)\/y)*y**(-4)\/y*y**(-2\/9)*y) assuming y is positive.\nAnswer: y**(1769\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13064 + -13064. What is the nearest to -0.1 in -1\/6, -1, -0.09, k?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 8. Let d be r(0). Let q(l) = -d + 8 + 4*l**2. Let y(x) = -x - 2*x + 2*x - x. Determine y(q(p)).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 - 5*k - 14*k**3 + 40*k**3 - 12*k**3 - 16*k**3 to c*k**2 + d + n*k + o*k**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - 0. Let g = l + 12.3. Let p = -1.69935 - g. What is p rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2227 divide 730153128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000211159 rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:22 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 7*m. Let d be n(6). Is d\/21 - (-820)\/28 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 173*z - 6. Let c(f) be the first derivative of f**2\/2 - 943. Calculate c(a(q)).\nAnswer: 173*q - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-6))\/(1\/(-16)). Let m be z\/3*(-12 + -787488). Round m to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63b (base 12) in base 3?\nAnswer: 1020202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 8*a - 16. Let v be p(-6). Suppose -v*u + 120 = -3*u. What is the greatest common factor of 24 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27287 + 0.3\nAnswer: -27286.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.37 * 11.1.\nAnswer: 15.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2384, 1203, -760, -3505, -7032, -11341, -16432?\n\"Answer: -391*f**2 - 8*f + 2783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**7\/420 - z**6\/180 - z**5\/60 - 7*z**3\/2 + 4*z**2 + 12. Let n(l) be the third derivative of m(l). Calculate n(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and -0.62.\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -19*n + 2. Calculate q(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*t = -407*t - 504 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (13 + 1 + -1)) + -5 + -11.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*h*n*y**2 - 2*h*n*y - h*y**2 + 3*h - 30*n*y + 14*y**2 - 12*y with respect to n.\nAnswer: 88*h*y**2 - 2*h*y - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.33 + -2.23. Let w = v - -5.9. Let c = 1 - 1. What is the closest to 0.1 in c, 3, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.1, 0.01, 0.5, 2\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 207429 and -6124.1.\nAnswer: 201304.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(0 + 1 - 3)*(-4*p + 10*p + p)*(-10*p**2 + 6*p**2 + 2*p + 0*p).\nAnswer: 112*p**3 - 56*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 1302224?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 729591.9kg in grams?\nAnswer: 729591900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/8*(-13 - 74\/(-6))*-8. Let n(r) be the first derivative of v*r**3 - 3\/2*r**4 + 0*r**5 + 1\/3*r**6 + 0*r**2 - 36 + 0*r. Factor n(l).\nAnswer: 2*l**2*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1685, -1645, -1559, -1403, -1153, -785, -275, 401?\n\"Answer: 4*x**3 - x**2 + 15*x - 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**2\/2 + 10. Let s(n) = 36*n - 3. Let p(h) = -f(h) - s(h). List the prime factors of p(-2).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.95605898 - 148.7619959. Let d = p + -3.28187412. Let f = -153 - d. Round f to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 6*j = 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -23*l + 1. Let w = 17 - 30. Let j be c(w). Suppose 5*h - j = 5*z, z = 4*z - 12. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtt. What is prob of sequence rr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 17848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 12. Suppose -b = -i*b + 50. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and 1.854.\nAnswer: 40.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 12:59 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**2))**(-6)*g**22\/(((g**(-1\/4)\/g)\/g)\/g))**(-12\/11) assuming g is positive.\nAnswer: g**(-87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 - 13*j + 29 + 36.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54293 is divided by 1114?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.46 + -0.5. Let t = 0.04 + s. Which is greater: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*o - 615, 2*o - 6*o - 369 = -3*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 76 = 52 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2506 - -3?\nAnswer: -2503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114286 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.33+3.7\nAnswer: 3.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 45 + 40 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**3\/5 - 3513*q**2\/5 - 529776*q\/5 - 20423988\/5 = 0.\nAnswer: -3357, -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143705, 283861, 424017, 564173, 704329, 844485?\nAnswer: 984641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*i**2 + 35627*i**4 - 2 + 35627*i**4 - 688*i**6 - 71254*i**4 wrt i.\nAnswer: -82560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*x**4\/8 - 1649*x**3\/8 + 3*x**2\/4 = 0 for x.\nAnswer: 0, 2\/549, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 2:16 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 10, 34*l - 30*l = 3*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1728*d - 164716695 + 164716695.\nAnswer: -1728*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 10:45 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 16576.\nAnswer: -17\/16576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1272.5 + -1272. What is the closest to -3 in -6, 5, h, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 4*o + 5 + 0.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.971777mg?\nAnswer: 2971777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 15.93. Let s = l - 4.93. Sort -3\/4, 4, s.\nAnswer: s, -3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 2*h - 15. Let b be y(5). Suppose -35 = -5*c - 3*z + b, 4*c = -z + 48. Solve 0 = -4*p + 4, 0 = -q - 2*q - 3*p - c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -0.97, 1\/2, -2, 8, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 2. Let f(u) = -u**3 - 2*u**2 + 5*u - 2. Calculate the remainder when f(-4) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 z when four letters picked without replacement from lzzzfeeqzfzofofeoo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47190481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48 and -0.2275232?\nAnswer: -10.9211136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 356075671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2509071l in millilitres?\nAnswer: 250.9071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -87*(8*(-414)\/216 + 15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 1121 = -136. Let i = -135 - t. What is the remainder when i is divided by (22\/11)\/((-2)\/(-16)*1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbr when three letters picked without replacement from ttbrttttttttbtbtt.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 33*k**4\/4 - 157*k**2 + 7*k. Let i(x) = 2*x. Give i(p(m)).\nAnswer: 396*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbxxpkrxpbrrbr. What is prob of sequence pxp?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019249 rounded to four decimal places?\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(sqrt(147) + 1 + 5 + sqrt(147) + (sqrt(147) - (1 + 1 + sqrt(147))) + 4))**2.\nAnswer: 2016*sqrt(3) + 5870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l. Let m(t) be the first derivative of 33 - 77\/12*t**4 + 0*t**3 + 4*t + 0*t**2. Let c(u) be the first derivative of m(u). Determine p(c(f)).\nAnswer: -154*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0.2 (b) -0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus -1353064863133?\nAnswer: -1353064863140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 5:55 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, i: 1, p: 1, m: 6}. What is prob of picking 1 p and 1 r?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482307 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -11734\/15 <= -783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (25 - -44) + -137 - (1 + 2)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(95\/5)*(-12)\/(-56).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1\/244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 14207*z + 355176. What is m(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1268268*g**3*l - 3*g**2*l + 12162*g**2 + g*l + 1 wrt g.\nAnswer: 7609608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139*k**4 + 9*k - 2 wrt k.\nAnswer: 1668*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (55 - 46) + (5 - 2) + 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + (-74 - (-47 - 61))?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 68?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77830 + 78350 = 26*v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -1169*n**5\/20 - 41*n**4\/8 - n**3\/6 + 2*n**2 - 4991*n. What is the second derivative of j(z) wrt z?\nAnswer: -7014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 153*u**3 - 5*u**2 + 6*u - 51819 wrt u.\nAnswer: 459*u**2 - 10*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115 - -60466?\nAnswer: 60351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -4)*2\/(-2). Is 30 a factor of b - 3\/(9\/(-357))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 293 + 94 = 0. Let l = o - 99. Suppose -m - 6*h + 202 = -8*h, -3*h = 3*m - 642. What is the highest common divisor of m and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73 + -48. Suppose -h*p + 21*p + 104 = 0. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58047 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*p + 24*p = 624 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -122, 300, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 509*g**4 + 4196*g**4 + 1535*g**4 - 10218*g wrt g?\nAnswer: 74880*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55205504 + -1?\nAnswer: 55205503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 11 = 3*p - 4*v, -4*v = -2*p - 10. Let w be (3 + -2)*(-2)\/12. What is the biggest value in p, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-23\/2)*f)\/(f*f**13*f)*(f\/(f\/f**(4\/9)))**(2\/29) assuming f is positive.\nAnswer: f**(-13295\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1051678 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 101 - -3*2\/(-3). Suppose 3*f = -0*f + i. Let r(k) = -k**3 - 3*k**2 + 2*k - 5. Let g be r(-4). Calculate the highest common factor of f and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 1, s: 5, z: 5}. Give prob of sequence sz.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1742, -6903, -15508, -27563, -43074, -62047, -84488, -110403?\nAnswer: -139798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 6, o: 12}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 3*v + 2. Calculate y(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -12584*h - 64. Suppose 2*c + 3*j - 73 = 0, -c - 2*j = -42 + 3. Let t be f(c). Round t to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (15 - 10) + (1 - 1) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26, 100, 270, 584, 1090?\n\"Answer: 8*j**3 + 18*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/42)\/((-7)\/((-98)\/4)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)*-4)\/sqrt(3).\nAnswer: -20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-3165)\/(-10)*(22\/6 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 55*o. Let n(g) = -388*g + 1004. Calculate s(n(h)).\nAnswer: -21340*h + 55220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 6*b - 10. Let z(g) = -7*g - 11 - 26*g**2 + 5*g**2 + 22*g**2. What is 7*v(a) - 6*z(a)?\nAnswer: a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 103.\nAnswer: -10\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6308117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0457 * 309.7.\nAnswer: 14.15329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/26*-1)\/(145*146\/(-4234)).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l**2 - 21*l**2 - 16*l**2 + 6*l - 4*l.\nAnswer: -12*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 90*h - 5896. Let r be i(-134). Solve r = 19*n + 8 + 144 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 14, 1.154, 0.2, 20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84.14, 0.5, 381.\nAnswer: -84.14, 0.5, 381","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 324*j + 92 = -232 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/40 - v**3\/12 + 2*v. Factor y(x).\nAnswer: x*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (10 - 8 - 17) + -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (32\/20)\/(4\/10). Suppose 3*z + 3*w = 6, 2*z + w - 4 = j. Find the common denominator of ((-46)\/z)\/(16\/(-6)) and -53\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1378, -6 in ascending order.\nAnswer: -1378, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_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: Calculate the common denominator of 43\/4 and 3\/20086.\nAnswer: 40172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 713269653 to the nearest integer?\nAnswer: 26707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 54 = w - 2*s, 0 = 4*s + 4. Let b(k) = k**3 - 13*k**2 + 3*k - 10. Calculate the remainder when 84 is divided by b(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -3*n - 294, 404 = 4*b - 111*n + 113*n. Solve 27*v - b = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/9, -1, 3, -5 in decreasing order.\nAnswer: 3, 2\/9, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*x**2 + 227 - 229 + 362*x**2 + 367*x**2 - 1057*x**2.\nAnswer: 24*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c**2 - 382*c + 1116. Let o be l(3). Suppose 0 = -0*t - 4*t + 4. Let h = t - -2. Put 5, h, o, -1 in decreasing order.\nAnswer: o, 5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368720 rounded to the nearest 1000?\nAnswer: 369000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4 = x, 3*x - 9 = -2*n - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 1201120133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(1\/(-1))*14*(-75)\/(-1400).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-2)\/(-20)*3*(-578000)\/(-10200)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*d**2*q*t + 431*d**2*q + 5*d**2 - 600*t wrt q.\nAnswer: -14*d**2*t + 431*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -494*t + 4*b + 20 = -492*t, -5*b + 17 = t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 172890343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 12 + 11 = r + 26, -4*r = -4*f - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 21*y**2 + 20*y + 2. Let u be h(20). Suppose u*q = -2 + 18. Suppose -q*x + 170 = -3*x. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 9 + 4 + -22.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -11. Let r(y) = -y**2 - 12*y + 14. Let j be r(z). Suppose 17 - j = i. Calculate the highest common divisor of i and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 162 = -2*r. Let w(s) = s**2 + 5*s - 4. Let x be w(-9). What is the highest common factor of r and x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z - 3. Let l be (-5)\/2 - 6\/12. Let u be q(l). Solve -2*n = -8, -5*p = -2*p + 3*n - u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41727 by 5961.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 230168994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3248, 3753, 4258, 4763, 5268?\nAnswer: 5773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5576270*u**3 + 6459*u**2 + 6459*u + 6459. Let j(i) = 4316*i**3 - 5*i**2 - 5*i - 5. Determine 6459*j(s) + 5*n(s).\nAnswer: -4306*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t**3 - 2*t**2 + 23*t - 2. Let g(q) = -14*q**3 - 3*q**2 + 36*q - 4. Let f(r) = 8*a(r) - 5*g(r). Let w(x) = x**2 + x + 1. Give -f(i) + 6*w(i).\nAnswer: 2*i**3 + 7*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23152308 and 30?\nAnswer: 115761540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 6 + 6. Let d(m) be the third derivative of 31*m**4\/6 - m**2. Let x(q) = -41*q. Let s(w) = 5*d(w) + 14*x(w). What is a(s(z))?\nAnswer: -2116*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110462 > 110276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1421538 smaller than -1421492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, 16, 2, -0.1?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.58791.\nAnswer: -1.17582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-179)\/(-537))\/((-11)\/(88\/(-6))*(-282)\/27)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-306)\/1360 + (-3)\/8.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 5*g**2 + 6. Determine h(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1.1, -2\/15, 19?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - -300) + (-4)\/1. What is the units digit of 12\/(-28) + k\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -30.96. What is the smallest value in a, -4, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 2*c**4 - 2*c**5 + 0*c**5 + (0*c**4 - 4*c**4 + 3*c**4)*(4*c + 0*c - 2*c) + 3 - c**5 - 3 - 4*c + 4*c + c**5 - c**2 + c**2 + c**5.\nAnswer: -2*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 16 - 19 - 17 + 76 + 161*g in the form k + h*g and give h.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 0.0835?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c. Let b(l) = -3377*l - 1. Give b(s(t)).\nAnswer: 6754*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1\/1029391, -4 in increasing order.\nAnswer: -8, -4, 1\/1029391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 299, 499, 693, 875, 1039, 1179, 1289, 1363?\nAnswer: 1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 5, -10 in descending order.\nAnswer: 5, 0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11*(3 + 0\/3). Suppose 0 = -7*f + 82 - k. Suppose -91 = -f*d + 70. What is the remainder when d is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17\/90 - -1\/45. Let k = -5.999989 + -0.000011. What is the second smallest value in n, k, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -133240?\nAnswer: -133241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -37*p**3\/6 + 83*p**2\/2 + 93*p + 1. Is z(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29541960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2601 + -0.5745859542.\nAnswer: -2601.5745859542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/316187 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -5. Let y be (z\/4)\/(11\/(-308)). Let i = y - -57. Calculate the remainder when 85 is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 8 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 753*g - 5. Let y(o) = 377*o - 2. What is 2*h(p) - 5*y(p)?\nAnswer: -379*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(12)\/sqrt(4))**2 + -4.\nAnswer: 10*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*12\/2. Solve -v*o = -7 + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (28\/(-6) - -4)*-18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -17. Suppose -u*z + 5 = -11. Solve p = 2, -7*p = z*j - 2*p - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 95*f + 106. Let t(v) = -22*v - 27. Determine 9*t(d) + 2*z(d).\nAnswer: -8*d - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 4*o = 32, -61*o - 12 = -4*v - 57*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325372221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytvqeryytvvv. What is prob of sequence ttve?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t. Let j be 1 - -1*2\/1. Let q be 8\/(-6)*j\/(-1). Let i(c) = 2*c + 1. Let p be i(-2). Let x(w) = 2*w. Calculate p*h(v) + q*x(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.88 + 40. Let o = -2.3 + t. Let r = o + 0.28. Is r greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74.787 + -1757.8881.\nAnswer: -1683.1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 4580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 2*m + 5*m + 0*m. Let t(q) = -7*q**2. Determine t(h(l)).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*j + 4*k, -k - 4 = 2*j. Let f = j - 3. Let b(z) = -9*z + 6. Calculate the remainder when b(f) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2. Let l(o) = 9*o + 14*o - 36*o + 19 + 12*o. What is l(r(t))?\nAnswer: -2*t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -5, -8, -1, 22, 67, 140?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(2\/8). Let k be (-16)\/(-9) - 2 - (-1450)\/450. Sort k, 0, w in increasing order.\nAnswer: w, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 881 (c) -28.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57866129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 2*u + 9, -u + 4 = 4*f - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21212 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 117 = 7*c. Suppose 2*n - c = 13. List the prime factors of n.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/270 and 31\/16.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, x: 9}. Give prob of sequence mxxx.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 divided by 252?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3*0 - -2. Let q be 1\/(-1)*(-1 - 1). Let x(d) = 2 + 2*d**q + 0*d**2 - c. Let f(p) = 3*p**2. Give f(x(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26 + 21)*(-3)\/(-15). Let l = -3 + -1. Let t(r) = -2 + 3 + r - 2. Let d(g) = g**2 - 6*g + 4. Calculate l*t(u) + y*d(u).\nAnswer: -u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39565 - 10966. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532538029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -213 - 97. Let c = a + 310.0000127. What is c rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.257 or -1286952?\nAnswer: 0.257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.035 + 5.035. Let o = 0.17 - 0.1. Let k = o - s. Which is the third smallest value? (a) k (b) -1\/8 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1979 divided by -5401?\nAnswer: 1979\/5401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - w**2 + 23*w - 5. Let u be q(-10). Calculate the remainder when 79 is divided by (-3)\/(0 + 18) + u\/30.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 0. Suppose -4*z + 2*i = -84, -z = 2*i + u - 17. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2824 and 371395536.\nAnswer: 2824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -104\/69305445 and 73\/33?\nAnswer: 69305445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 6*u. Let w(i) = -6*i + i**2 + 2*i**2 + 3*i + u*i**2. What is the lowest common multiple of 8 and w(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 131020 and 0.01?\nAnswer: 1310.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 8. Let z be 2\/(4\/2)*6. Let v = z + -13. What is the least common multiple of 6 and r(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 2*o**3 - o. Let a(t) = -7*t**2 - 2*t + 2. Let j(m) = -10*m**2 - 3*m + 3. Let f(h) = -6*a(h) + 4*j(h). Give f(z(b)).\nAnswer: 288*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -5. Let y(d) = -d**3 - 6*d**2 - 3*d + 6. Let r be y(f). Calculate the highest common factor of 36 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -51. Solve 4*n = -5*w + 15, w = 5*n - s*w + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76cd68 (base 14) to base 3\nAnswer: -21120210021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.48 - -4.72. What is c rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12269, -48990, -110171, -195812, -305913, -440474?\n\"Answer: -12230*i**2 - 31*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-59)\/(-4))\/(3 - (-115)\/(-40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 94*y**3 - 31 + 2*y**3 + 4 + y - y**3 + 25 as n*y + a*y**3 + u*y**2 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 13, 27, 41, 55?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - (-5319)\/(-135)) + (-98)\/(-45).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.48 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4703*u - 4703*u + 40*u**2)*(56 - 113 + 38*u + 59)*(3 + 2 - 2) to y*u**2 + s*u**3 + q*u + t and give y.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.01 or -2\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 11*i - 8*i + 324, -i - 108 = 5*x. What are the prime factors of 12\/i - (1300\/18)\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595180389 to the power of 1\/2, to the nearest integer?\nAnswer: 24396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 3677001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 8. Let h(g) = g - 3. What is the lowest common multiple of u and h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 1260 = -12*f. Calculate the remainder when f is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/176*24\/(-4))\/(46\/8).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2. Let x(t) = -75*t**2 + 56*t. Let j(s) = -38*s**2 + 34*s. Let k(y) = 5*j(y) - 3*x(y). Calculate n(k(q)).\nAnswer: -1225*q**4 - 140*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8296250437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 2, c: 2, r: 6, s: 1, k: 6}. Give prob of sequence rs.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (-1 + 0)*-5597. Round m to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0419472402 + 2971.0270772402. Let m = 2971 - n. What is m rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3297 is divided by 49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 206*i**2 + 636*i + 1879. Determine q(-209).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -125\/9 + 14. Let i = 4 - 0. Sort 5, i, m in ascending order.\nAnswer: m, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4773872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 381665 - 255522. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w + 8. Let d(h) = 14 - 3*h - 25 + 10. Let b(j) = j + 1. Let z(p) = 6*b(p) + 3*d(p). Let k(y) = -y - 11. Let a be k(0). Determine a*z(o) + 4*q(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3454.0908 - 3450. Round r to one dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -2.8736\nAnswer: -5.7472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 983 + -423. What is the greatest common divisor of 40 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q**2 + 2*q**2 - q**2)*(7142*q - 11274*q - 10489*q - 10903*q - 440*q) as p*q**3 + y*q**2 + g + h*q and give p.\nAnswer: 25964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.09 - -15.08. Which is smaller: m or -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**3 - 5*y**2 + 7*y - 8. Let j(f) = -4*f**3 - 6*f**2 + 8*f - 9. Determine 6*g(v) - 5*j(v).\nAnswer: -4*v**3 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.04, -23.1, -0.2, 0.2 in decreasing order.\nAnswer: 0.2, 0.04, -0.2, -2, -23.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - 708*v**3 - 1435*v**2 + 10614*v + 25560.\nAnswer: (v - 710)*(v - 4)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 241 - 249. Let t be l + 11 + (-6)\/3 + 3. Solve -2*p = z, 3*p + 0 - 22 = t*z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {a: 1, i: 2, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159 - -182. Let p = 24 + z. Does 3 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3088005 millilitres to litres.\nAnswer: 0.0003088005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7191*p**2 + 194161*p + 37. Calculate s(-27).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12364 (base 10) in base 15?\nAnswer: -39e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.083\nAnswer: -0.0249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99860.\nAnswer: 2, 5, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5657 + 4260.5657. Let f = u - 4238.73. Let b = -2.13 - f. What is b rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2602 - -2607. Solve f - 29 = 5*g, 0 = f - a*g + 3*g - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 2, -15 in decreasing order.\nAnswer: 2, -1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -12. Let s(x) = -3*x**2 + 7*x - 22. Let t(c) = -c**2 - c + 1. Let a(h) = -s(h) + 4*t(h). What is the tens digit of a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a gram in milligrams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*3 + 2 - (3*-2*sqrt(19) + -4))**2.\nAnswer: 180*sqrt(19) + 4311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 6, -2*a + 5*k = -6*a + 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10363.96 and 31.\nAnswer: -321282.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5063714?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25204, 55056, 84896, 114718, 144516?\n\"Answer: -m**3 + 29859*m - 4654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -528.6 + -1196\nAnswer: -1724.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111000011 (base 2) to base 4.\nAnswer: 333003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, s: 1, u: 3, y: 6}. Give prob of picking 4 w.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71a2 (base 13) to base 11.\nAnswer: 10865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1073 (base 15) to base 14\nAnswer: -13ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 0*v - 484*v**2 + 415*v**2 - 3 as h*v**2 + z + g*v and give h.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-20) - 39\/15. What is the third biggest value in -5, 3, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8196 = -3*s + 3*o, 6*s - 9*s + 8171 = 2*o. What is the greatest common divisor of 81 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 7*n**2 - 10*n - 5. Determine y(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 4*x + 1417500. Let j be x\/(78\/80 - 1). Round j to the nearest 1000000.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2406 + 441 = -181*t + 207. Suppose -g = 3*g - 4. Sort g, t, -5 in increasing order.\nAnswer: -5, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20a63c (base 15) in base 9?\nAnswer: 2827503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5501 and -0.1187?\nAnswer: -0.06529687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 17 = 6*m. Suppose 0 = 5*r - m*h - 592 + 177, 0 = 3*r + 3*h - 249. List the prime factors of r.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 251, -213, -987, -2071, -3465?\n\"Answer: -155*o**2 + o + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848 is divided by 176.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 - 6. Determine k(-5).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-2 - -1 - (86 - 46) - -24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 + 109 = -5*a. Let i = -8105\/44 + 1204\/11. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1560\/399)\/(-10) - (-2)\/19?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/15893 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(152) - 6*-2*sqrt(152) - sqrt(152) - sqrt(152)) + sqrt(152) + sqrt(152) + (sqrt(152) - 3*sqrt(152)*-1)))\/(5*(-4*sqrt(1152) + sqrt(1152))*2).\nAnswer: 17*sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o*u**3*v + 2*o*u**3 - 7*o*u**2 + 2451*o*u*v - 9447*o*v + 6159*o - u**3 + u wrt v?\nAnswer: 2*o*u**3 + 2451*o*u - 9447*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 12780 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 1 q when three letters picked without replacement from {g: 1, q: 1, i: 1, o: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396 divided by 698?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.393*-0.5\nAnswer: 0.6965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2085554*f**3 + 8*f + 24708?\nAnswer: 12513324*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 302 divided by 11137.\nAnswer: 302\/11137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 2*p + 5*p)*(-69 + 124 + 146)*(5 - 2 - 1).\nAnswer: 804*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -f + 7*f. Sort f, -1, 3.\nAnswer: f, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1011\/(-674))\/((45\/200)\/3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -502 + 510. Which is smaller: 26 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 7, k: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -154 - (-66 - 4) - -56.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 138332, 276666, 415000, 553334?\n\"Answer: 138334*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, 1\/2, 7, 1, -0.01, -0.3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 + 12. Let s(y) = 6*y**2 + 2*y + 16. Let o(q) = 4*j(q) - 3*s(q). Let b(n) = -5*n**2 - 17*n + 1. Determine 3*b(z) - 8*o(z).\nAnswer: z**2 - 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6699 - -1.6699. What is the closest to m in -0.1, 0.1, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157 + 174. Suppose -m*f = -13*f - 24. Let a(j) = 6*j**2 + 13. Let k(w) = -3*w**2 - 6. What is f*a(d) + 13*k(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -14 + 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -404470.1 plus 58030?\nAnswer: -346440.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -11*u - 312. Calculate v(-29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -205729037.\nAnswer: 822916148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -178 - -765. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p**3 + 5*p**2 + 2*p + 1. Let v(s) = 20*s**3 - 14*s**2 - 5*s - 2. Give -8*d(n) - 3*v(n).\nAnswer: -4*n**3 + 2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 951440359*f - 504087713?\nAnswer: 951440359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.78 + 3.88. Which is the nearest to 1? (a) 0.2 (b) -0.05 (c) v (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -5*l + 8, 3*c + 1 = 5*l - 3. Let r be (1\/(-3))\/(5\/(-30)). Factor -c*x**2 - 2*x + 4*x + r*x - 2*x.\nAnswer: -2*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/3))**8\/((d**(-2\/5)*d*d)\/(d*d**3)) assuming d is positive.\nAnswer: d**(196\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24071234 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*y + 6193 = 7881 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, l: 4, f: 4, w: 1, p: 1}. What is prob of picking 1 f and 1 w?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 - -100. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -899.38 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91347, 91414, 91483, 91554, 91627, 91702?\nAnswer: 91779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (108\/9 + -25) - (-3 - 35)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 165252676 to the power of 1\/2, to the nearest integer?\nAnswer: 12855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93372542 or -93372543?\nAnswer: -93372543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 13, -34, -99, -182, -283, -402?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l*l\/(l**(1\/4)*l))\/l)\/l*l)\/l)\/(l\/l**(2\/15)))\/(l**9*l*(l**0\/l)\/l) assuming l is positive.\nAnswer: l**(-607\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2 + 6. Let s be (1 - 2) + 18 + m. Suppose -4*z = -s - 37. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*c**3 + 19 - 19)*(-2 - 4 + 5)*(c**2 + c**2 - 4*c**2).\nAnswer: 140*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 + 4. Suppose 4*j + 56 = -4*j. Let m(t) be the second derivative of t**5\/4 - 7*t**2\/2 + t. Calculate j*f(y) - 4*m(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/1 - (29 - 22). Suppose a = 544*m - 553*m + 927. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c - 3. Let s(o) = -17*o + 6. Suppose 4*m - 17 = 4*x + 3, -5*m + 27 = -3*x. Give m*s(z) + 13*f(z).\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3390, 6821, 10252?\nAnswer: 13683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - ((-6)\/(-2))\/3. Let l = 0 + 1. Let w = u + l. Calculate the lowest common multiple of 10 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -29 + (58 - 26)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238 and 1092.\nAnswer: 18564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29 - -7750?\nAnswer: 7779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-168)\/(-42))\/(3\/(-351)*-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 16974\/(-1148)*4\/(-6)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-5\/12)\/m))\/m)\/m*m**(17\/3)*m*m*m*m\/((m\/m**(-4))\/m*m*m)*m**4*m assuming m is positive.\nAnswer: m**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/145 and 16\/368155.\nAnswer: 368155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2201.38015 to the nearest integer.\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -7. Let k(c) = 15*c**3 - 8*c**2. Let m(y) = 31860564*y**2 - 31860567*y**2 - y**3 + 6*y**3. Calculate b*m(h) - 3*k(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 210 divided by 21\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 7*w - 7. What are the prime factors of h(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 2*n + 2. Let s be c(2). Let i be (-15)\/s - 6\/4. Suppose -5*h + i*h = 17. Which is bigger: 16 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*d + 5 = -247 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438, -427, -408, -381, -346, -303?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j = -47*j - 20*j - 705 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0393+209958662\nAnswer: 209958662.0393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 2985.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -0.00086442?\nAnswer: 0.40086442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 6:40 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38.6 - 4.4. Let w = 48 + q. Put -3\/2, w, -4, -1\/3 in increasing order.\nAnswer: -4, -3\/2, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 + 52. Suppose -3*r - y - 3 = w, -5*y = -4*r + 20. Solve -2*b + 7*b = -2*m + 11, r = 5*m - 3*b + 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 6*f + 2*f. Solve -5*h = -2*a - 22, 2*h - f*a + 13 = 6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gyjyyjuyvgyggggssuu?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7787 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 8:29 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6234322 to the nearest integer?\nAnswer: 2497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 11:10 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 11*l + r + 2 = 0, -38 = -l - 90*r + 89*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*q = -112*q + 91. Suppose i = -2*v + 5 - 13, 0 = -4*i + v + q. Solve -2*a + 4*b - 10 = 0, 0 = -3*a + i*b - 3 - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64975 (base 12) in base 15?\nAnswer: -294c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 3 = 87. Sort 5, -3, r, -13 in descending order.\nAnswer: 5, -3, r, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1560 and 40.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10877837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29420 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 17\/20)\/(58\/(-232)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -27?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 - (1 + -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f + 609 = 268 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31102 (base 6) in base 16?\nAnswer: -102e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -828 + 852 + (5 - -2).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 3*o**2 - 3*o + 2. Let d be p(2). Let y(w) = -w**2 + 1 - 10*w - 4 + d*w**2. Let a be y(-10). Are a and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67*m**3 + 68*m**3 + 1 + 218 + 62*m**2 wrt m.\nAnswer: 3*m**2 + 124*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**9\/420 - g**7\/168 + g**4\/24 - 37*g**2. Let t(v) be the second derivative of a(v). Find the third derivative of t(m) wrt m.\nAnswer: 864*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(5) - (-2 + sqrt(45)))**2 - sqrt(5) - (2 + 3*sqrt(5)) - -6*sqrt(25)\/(-2*sqrt(180)).\nAnswer: -26 + 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 181, 290, 465, 712, 1037, 1446, 1945, 2540?\n\"Answer: t**3 + 27*t**2 + 21*t + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 3728.\nAnswer: 1\/1864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - 3 + 3 + (2*u - 2*u - u)*(-2*u + 0*u + 4*u) + 26*u - 26*u + 29*u**2.\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1473016 - -17026984. What is g rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/56950 and -59\/670.\nAnswer: 56950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*k**4 + 359*k**3 + 5*k + 704?\nAnswer: 480*k**2 + 2154*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/13 + 1288*f**2\/13 + 220810*f\/13 + 4255724\/13.\nAnswer: 2*(f + 22)*(f + 311)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/9*r**2 - 52\/9 - 2\/9*r**3 - 82\/9*r.\nAnswer: -2*(r + 1)*(r + 2)*(r + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 y when three letters picked without replacement from {i: 1, j: 3, y: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-480)*-20)\/((-4)\/90)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = l + 4*i, -5*l + 0*i = 3*i - 24. Calculate the highest common factor of 4 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j + 1. Suppose -11 = 4*g - 19. Let k be g\/6*0 + 1. Calculate l(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*r = -4*d + 5, 2*d + 5*r + 5 = 0. Does 15 divide (-67)\/(-1) - (8 - d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723445 is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -18. Let m = 14 - p. Differentiate -2 + m*t**2 + t**2 - 5*t**2 wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 9*p + 2. Let a be k(9). Suppose v + o = -3*o + 8, a*o = 2. Suppose -v*j - 1 = -13. Solve -c = j + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52762199969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*l = 45, -4*i + 2*i - 5*l + 17 = 0. Let g be (-2 - i)\/(2\/3). Let -3*n**g - 3*n**2 + 6*n**2 + n**5 - 5*n**2 = 0. What is n?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101101011111101 (base 2) in base 7?\nAnswer: -3155531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 2, k: 1, o: 6, b: 1, y: 6}. What is prob of sequence zoly?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17028, 17243, 17460, 17679, 17900, 18123?\n\"Answer: q**2 + 212*q + 16815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**6\/180 + 2539*z**5\/135 - 59737*z**4\/3 + 53016*z**3 + 2*z**2 - 3*z + 267. Factor l(x).\nAnswer: -2*(x - 846)**2*(3*x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34076, -68139, -102202, -136265, -170328?\nAnswer: -204391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*p = 37*p + 20992 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/351*3*(-3 + 4)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(((-2)\/(-3))\/1). Let s be (-258)\/(-21) - (-6)\/(-21). Solve -u + s + 5 = -4*j, -q*u = -4*j - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(30)*-1)\/(sqrt(50)\/(sqrt(20)\/sqrt(4))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 331114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -10. Which is the third smallest value? (a) j (b) -0.5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2165447 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((110\/330)\/((-1)\/(-9)))\/((-114)\/4).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -710*j - 113 wrt j.\nAnswer: -710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocoe when four letters picked without replacement from eonoeoneenoocnoooone?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from fqyffqqyyyyyyq?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110011100101100001 (base 2) to base 13.\nAnswer: 28c195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65644*h - 55307 wrt h.\nAnswer: 65644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 7:48 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.126 and 148111 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13 - 11*y + 17 + 3*y**2 + y**3 + 5*y**2. Let z be l(-9). Calculate the highest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = r - 5*r + 41, 0 = 4*r + 5*d - 31. Let n = -125 + 130. Solve 4*c - 4 = z - 0*c, -n*z = -3*c - r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14639272?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**7\/42 + 7*b**3\/3 + 28*b**2. Differentiate y(i) with respect to i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -2*q**3\/27 + 7*q**2\/9 + 4*q - 326. Determine g, given that i(g) = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/6)\/((-26)\/12909). Let d = -262 - i. Let b = -206 + d. List the prime factors of b.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 67, 2, 9, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 114318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22472*r**4\/19 - 45368*r**3\/19 - 66566*r**2\/19 + 1268*r\/19 - 6\/19 = 0. What is r?\nAnswer: -1, 1\/106, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 + 14*x**2 + 7*x**2 in the form z + u*x**2 + c*x and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -74579 greater than or equal to -74583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let b be -2 - (-13 - (2 - u)). Suppose 0*k + k = 9. Solve 5*x + 0*v + 4*v - b = 0, 3*v - k = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 12, 5*b + 0*b + 210 = 5*a. Let c = -223 + 339. Let f = b + c. Calculate the remainder when f is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*v - 9. Suppose -3*t + 14 = h, -3*t + 12 = 3*h - 0. Let y = h + v. Calculate the lowest common multiple of 2 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3978 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77672232 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 45 - 19 = 0. Suppose -2*d - 12 = -3*d - 2*b, -3*d - 2*b = -p. Solve -4*n + d + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 983 + -981. Let j(s) = 6*s**2 + 1. Let t be j(-2). Suppose -m + 5*o - t = 0, -4*m + 5*o - o = 20. Solve 2*b - p = -2*f, -b + 6*b = m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405, 404, 403, 402?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8632456 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: Let q be (-2)\/(((-30)\/(-375))\/((-2)\/240)). Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 3 = -12*m + 4*w, -4*w = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 5*a - 16. Find the common denominator of (114\/16 - 2)\/(-1) and (-146)\/10*15\/a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + b + 55660, 4*c - 3*b - 74240 = -7*b. Let t = c + -12602. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 3*a**2 - 7*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*b - 3*b + 427, -10 = 5*b. What are the prime factors of y?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2283878*c**3 + 3*c**2 - 3*c - 1000559.\nAnswer: 13703268*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*v = -40, -50*v + 49*v = -3*m - 20 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - z = 60 - 57, -3*z - 2*z - 35 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-40)\/(5*(-12)\/3630). Suppose 7*b + g = 12*b. Is 33 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v + 3. Let p(h) = -11*h + 2. Let z(q) = -5*q + 1. Let o(t) = -6*p(t) + 13*z(t). What is m(r) - 6*o(r)?\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 4 - (-1 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.5 (c) -15 (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -268471221*j**2 - 401578283*j.\nAnswer: -536942442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112054.3 and 32.\nAnswer: 3585737.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8087 + 47361*t - 94714*t + 47352*t to l + u*t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1977, 15545, -4 in decreasing order.\nAnswer: 15545, 1977, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 197609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -41*d**3\/6 - 177*d**2\/2 + d + 2. Calculate the remainder when 557 is divided by h(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2375 and -1237.\nAnswer: -1236.7625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 772*y - 2. Let g be o(3). Suppose g = f + f. Let p = f - 2167. What is p rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*-6 - (2 + sqrt(684)).\nAnswer: -36*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 2:23 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**3\/3 + 6*z**2 + 14*z - 4. Let n be i(13). Let c be (-40)\/(-6)*(n - -4349). What is c rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5416 - 5416. Let l be 2 - (-994)\/(-330) - -1. Do l and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*h = 2, -343*d = -348*d - 3*h + 30. Solve 4*u + 1 = d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 20*k**2 - 43*k + 26. Let h(q) = -q**2 + 16*q - 50. Let c be h(14). Let a be o(c). Which is smaller: 48\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124.1 - -125.1. Is -322 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10a523 (base 11) to base 9\nAnswer: 286034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -841930 + 10?\nAnswer: -841920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - t + 13. Suppose -w + 5*k = 16, -w + 4*k = -5*w - 64. Let b = w - -16. Calculate h(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 13*s**2 - 20*s - 77. Suppose -3*z + 2*q = 26, -1269*q + 22 = -z - 1270*q. What is p(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5194069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.24 + -117.76. Let y = h + 119.1. What is the smallest value in 0.4, -39, y?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/r**(-10))\/r)\/r*r)\/r)\/r)**(-1\/8)\/((r\/((r*r**(10\/7))\/r))\/r*r*r*r)**(4\/5) assuming r is positive.\nAnswer: r**(-79\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**2*f**3 + 68*d**2*f - 2558*d**2 + 53707927*d*f**6 - 608*d*f**2 wrt f.\nAnswer: 30*d**2 + 6444951240*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2267 - -2270. Solve -k - u*k - 9 = p, -4*k - 2*p = 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/28 and -34\/77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -1\/30*j**6 + 3\/10*j**5 - j**4 + 0*j**2 - j + 0 + 4\/3*j**3. Find c, given that u(c) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + f)*(-5 + 4 - 2)*(-2 + 2 - 1).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/4 - 60\/48. Sort g, 3, 5 in decreasing order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30927 and 13013?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -5*a**3\/3 + 1. Let m(s) = 417297*s**2 - 208433*s**2 - 208675*s**2 + 0 + 0. Give 2*m(h) + 77*p(h).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 7*w + 17. Give d(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, 1.71, -1?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -62637.7574 rounded to the nearest one hundred?\nAnswer: -62600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syy when three letters picked without replacement from syzzsyzyyzy.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4392 by 1098.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253975, 254110, 254335, 254650, 255055, 255550?\nAnswer: 256135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/987 and -53\/133962?\nAnswer: 44073498","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 7*l**2 + 5*l. Let h be v(-5). What are the prime factors of 14\/105 + (-33590)\/h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 801 - 1639. Let x = y + 1487. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 11*s**4 - 2*s**4 - 231*s + 3 - 2*s**2 + 214*s + 4*s**2 in the form y*s + u*s**2 + j*s**3 + g*s**4 + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -7. Let s = y - -8.4. Let v(q) = q**2 - 6*q + 5. Let p be v(6). Sort -0.1, p, s in increasing order.\nAnswer: -0.1, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 2*k + k)*(-k + k + k**2) + 21*k**3 + 3686*k**2 - 3686*k**2 + k**3 - 3*k**3 + k**3 + (1 - 2*k - 1)*(3*k**2 - 6*k**2 + 5*k**2).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5104324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001771 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - 2*q + 6*q + 7*q)*(902*q**2 + 363908*q - 363908*q) in the form l*q + b*q**3 + f + i*q**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**2 - s**2 + 0*s**2 + (4 - 4 - s)*(3*s + 0*s - 2*s) + 3 + 3*s**2 + s**2 - 2 to the form g + z*s + u*s**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-15)\/((a*a**(-2\/51))\/a*a) assuming a is positive.\nAnswer: a**(-814\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 - (-22)\/4 - 85\/50. Which is the biggest value? (a) 2\/11 (b) 3 (c) g (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2007 is divided by 227?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 70*x**2 - 39*x. Let i(g) = 158*g**2 - 79*g. Give 3*i(s) - 7*p(s).\nAnswer: -16*s**2 + 36*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from xxxhxxhx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -9. Let i = w + 8. What is the smallest common multiple of i and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 7*z**2 + 5*z - 4. Let g be c(-6). What is the remainder when g*(-2 - -1) - -75 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 5:25 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 364809 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 48 + 197 = -5*c, 0 = -2*o - c + 133. What is the remainder when 127 is divided by o?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*t + 7 = 0, -2*b + 4*b = -4*t + 16. Let k = 603 - 653. Let r be (-98)\/35*k\/b. Calculate the highest common divisor of 28 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1572 (base 16) to base 7\nAnswer: 22002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48241472897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01358 - 0.436.\nAnswer: -0.42242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 + 42. Let p = -67 - v. Calculate the remainder when p is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/3))\/y)\/y)**(18\/7)\/(y**(-1\/7)*y*y**6) assuming y is positive.\nAnswer: y**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2678700 to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/55 and -93\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21563280 divided by 1078164.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4144 and 3256?\nAnswer: 45584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -169503 and 0.1.\nAnswer: -169502.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -156 + 175. Suppose b*d - 18*d = 26. Let g be (-27)\/18 - 57\/(-2). Is g less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 157\/3 + (-20)\/15. Let d = 135 - k. Suppose 0 = i + i - 24. Calculate the highest common divisor of i and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 1, g: 1}. Give prob of sequence gt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32 - 21 - (-1)\/(0 + 1). Calculate the common denominator of (-136)\/(-40)*(-5)\/2 and 618\/(-16)*z\/90.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -14*m - 23. Let a be t(-11). Which is bigger: 129 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3*a - 2)*(-2 + 0 + 4) - 3*a + a + 3*a + 450*a + 297*a - 149*a as w + k*a and give k.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 25\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27824?\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -418 + 428. Let u be (-54)\/i + (-19 - -25). Factor 6\/5*j**2 + 0 - u*j**3 - 3\/5*j.\nAnswer: -3*j*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 368 or 415?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 5*a**2 + 5. Suppose 14 = -2*t + 44. Suppose -d - 4*d = -t. Let w be (15\/d)\/(2 + -1). Calculate k(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 14*f + 48 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2075666 and 461414?\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14114734 + -2680497. Let b = a - 2934237. What is b rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -19742943 + 3*u - 2*u + 19742943. Let j(x) = -3*x + 5*x - x - 1. Let b(k) = 26*k - 3. Let f(p) = b(p) - 3*j(p). Give a(f(t)).\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 - 2*f**2 + 1. Let s be w(1). Suppose 3*u + 5*o = -35, u + 5 = 2*o + s*o. Let g be (u\/(-4))\/((-3)\/6). Sort g, -1, -4 in descending order.\nAnswer: -1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 - 109. Let w be -2*(171\/(-108))\/(-19). Which is the nearest to 1? (a) x (b) w (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 7\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -56, -23, 30, 103, 196, 309?\n\"Answer: 10*x**2 + 3*x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + 4*f. Suppose 5 = -b, 12 = 4*w + 4*b - 4. Let y(s) = w*s + 3*s**2 - 8*s - 2*s**2. Calculate -l(j) + 3*y(j).\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 162 = -0*x - o, 3*x - 5*o + 257 = 0. Let d = x - -299. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 + 18*r + 2. Suppose 3*b = -3*y - 2*y - 46, y - 2 = b. Determine i(y).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 448572?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 12. Let r be z(5). Find the common denominator of r*(-8)\/(64\/(-18)) and (19\/(-14))\/((-2)\/(-12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 4*q - 16. Let f be l(5). Let u(p) be the first derivative of -p**2 + 8*p + 24. Determine u(f).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 21 (c) -4\/7 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21880 - 11819. List the prime factors of t.\nAnswer: 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = 4. Let u = 1 + 3. Solve k + j = u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*((-10)\/(-6) + -2). Suppose -c - 2733 = -g*b, 0*b = 4*b - 4*c - 2724. Calculate the common denominator of -81\/20 and (-4)\/10 + b\/(-440).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -9*d**5\/70 + 11*d**4\/42 + 16*d**3\/21 - 4*d**2\/7 - 14*d. Factor r(s).\nAnswer: -2*(s - 2)*(s + 1)*(9*s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7405390*d + 10704654 with respect to d.\nAnswer: 7405390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/11 in 0.3, 0.6, -4, 7, 11\/35?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15444 and 207493.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12540)\/2850)\/(24\/20)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.9. Let j = 31188 - 31190. Which is the nearest to j? (a) y (b) -0.2 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*z, -r - 3*z + 10 = r. Let q be (16\/10 - r)*-5. Solve 0 = 2*x + q*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1044.31ng to milligrams.\nAnswer: 0.00104431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 8*i - 33. Let l be x(4). Calculate the remainder when 82 is divided by 4\/(-2) - l\/9*-15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -341.47 + 341.4. What is the smallest value in -24\/11, 0.2, r?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -38*v**3 - 37 + 6 - 45*v**2 + 206*v - 89 + 2*v**4 - 5*v**2 + 0*v**4 = 0.\nAnswer: -3, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millimeter in micrometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/6, 4, -3, 3, 2.\nAnswer: -3, -7\/6, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-50)\/35)\/10)\/((-1078)\/(-1029)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4250, -9, 5, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.52924564 rounded to one dp?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -95 + 40929?\nAnswer: 40834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/5, 0.1, 2, -12\/43, 0.35, 0 in ascending order.\nAnswer: -12\/43, 0, 0.1, 0.35, 2, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -4 - (0 - (-120)\/(-18)))\/2. Let b(z) be the first derivative of y*z**2 + 1\/9*z**3 + 1\/3*z + 18. What is s in b(s) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 1, p: 3, z: 2}. What is prob of picking 1 i and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00044589 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 120 = r - 345 + 135, -6*d = 5*r + 122 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q - 274*q - 194*q - 71*q)*(6*q + 0*q + 10*q) to the form d*q**2 + p + u*q and give d.\nAnswer: -8544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1631 + 0.052.\nAnswer: 1631.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 123450 and 24690?\nAnswer: 123450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71771 divided by 1380?\nAnswer: 71771\/1380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -385 + 250. Let q be (-4)\/6*p\/10. What is the third derivative of -n**2 + 6*n**2 + n**2 + q*n**4 - 4*n**4 wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -3*s. Let v(x) = -x**3 + 5*x**2 - 6*x + 2. Let f be v(4). Let k be (-16)\/f - 1\/(-3). Solve -t - k = -s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 7*q**3 + 4*q**2 + 0 in the form c*q**3 + g + s*q**2 + z*q and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o + 1520878 = 1526268 for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 588\/221 - 47\/26. Calculate the common denominator of o and 2 + 147\/(-12) + -1.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2687415764 and 878.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -1.3, 31, -0.23, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 825b8d (base 16) to base 6.\nAnswer: 503035245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -346781, -693527, -1040275, -1387025, -1733777?\nAnswer: -2080531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 40206.\nAnswer: 40211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2. Let o(t) = -5 + 5*t - 10*t + 5 + 0. What is v(o(w))?\nAnswer: -75*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -21 - 9 - 6 - -11 - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.25 - -0.25. Let q = 335\/6 + -56. Put p, q, -1, 5 in descending order.\nAnswer: 5, q, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12692 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 32, -2.1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 86660.76 milligrams?\nAnswer: 86.66076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374382564.4 rounded to the nearest ten thousand?\nAnswer: 374380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {f: 8, d: 3, s: 4, u: 2}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24218\/11 + 2202. Which is the closest to 7? (a) -10 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*v - 9*v + 13*v)*(-9 + 5 + 10)*(-1 + 5 - 5).\nAnswer: -156*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 7*r + 1. Let t be h(-6). Let w be (3 - 4)*(0 - 77). What is the greatest common factor of w and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) - (sqrt(200) + sqrt(200)*1 + sqrt(200) + -3)) + sqrt(200) + 0)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.1*447816.\nAnswer: -4075125.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 + -65. Sort 4, 5, a, 1 in increasing order.\nAnswer: a, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-55) + 4\/22. Suppose w = -2*r + 5*r - 6. Solve -15 = 2*p - 5*x, -2*p + p = r*x + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32030 + 3?\nAnswer: 32033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 2*f**2 + 1. Let o(k) = 4*k - 1. Let x be o(-1). Let l = 6 + x. What is the units digit of t(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -81*s + 78*s. Suppose 4*z + s = -79. Let o be (-3950)\/(3 + 0 + z\/6). Round o to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-11)\/4)\/((-3)\/(-120)). Let r = -105 - t. Let n = -8 + 11. Calculate the remainder when r is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -29*j**2 - 12*j + 26. Let c be x(11). Let v = c + 14828. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3954271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37 and 176.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -15 + (18 - 6) - -2\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 6*i + 11. Let u(p) = -3*p + 11. Let j(n) = -n + 4. Let o(m) = -17*j(m) + 6*u(m). Let l(z) = -2*b(z) - 11*o(z). Let g(c) = c. Give l(g(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0*p**5 + 0*p**4 + 77\/30*p**6 + 69\/2*p**2 + 0*p**3 - 29*p + 0. What is the first derivative of v(f) wrt f?\nAnswer: 308*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by (-126)\/(-105)*80\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/12)\/9*(28\/12)\/7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12888647\/161 - 80054. Calculate the common denominator of -65\/14 and n.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*f + 5*c, c + 20 = -10*f + 12*f. Factor -8*i**2 + 17*i**2 + 28 + 26*i - f*i**2.\nAnswer: -2*(i - 14)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2*2*sqrt(180) + -1 + 5)*-4)**2.\nAnswer: -6144*sqrt(5) + 47104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22883564 or -22883576?\nAnswer: -22883576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-496)\/48)\/(-31)*(-1479)\/17.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 60 - (2 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -32*a**3\/13 - 168795792*a**2\/13 - 84397890*a\/13 - 10549736\/13 = 0.\nAnswer: -5274868, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/2923 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 0\/(-5 + 2). Let c = 1 + -4\/5. Sort c, t, -12.\nAnswer: -12, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - m - 2. Let k(g) = 2*g**2 - 5 + 0 - g + 2 - g. Let n(y) = 2*k(y) - 3*u(y). Give n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * 2557.79.\nAnswer: 51.1558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**5\/60 + 7*u**4\/24 + 2*u**3\/3 + 2*u**2. Let q be m(-7). Let l = 1 + q. Solve -2*r = -l + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -13.54 (c) -9 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/3 - 4720*x\/3 - 337656.\nAnswer: 2*(x - 2558)*(x + 198)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 1650*g**5 + 7655*g**4\/3 + 3218*g**3\/3 + 184*g**2 + 40*g\/3 + 1\/3 = 0. What is g?\nAnswer: -1, -1\/5, -1\/11, -1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 8, o: 5}. What is prob of picking 2 a?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 20 = f, -f = 4*c - 19 - 6. What is the closest to 2 in 3, 0.4, -0.3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w**2 + 63*w - 14*w**2 - 19*w**2 + 41*w**2 + 10 as c*w + f + i*w**2 and give c.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0058 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**2 + 3*a - 6. Let v(w) = -3*w - 4. Determine 4*m(j) + 3*v(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6842193 and 1146.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 6*k**2 + 3. Calculate the remainder when (11 - 9)\/((-2)\/(-8)) is divided by o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 168, -20698 in descending order.\nAnswer: 168, -3, -20698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**2 + 1\/15*q**6 - 1\/6*q**3 + 1\/3*q**4 - q - 1\/4*q**5 - 11. Factor m(j).\nAnswer: j*(j - 1)**2*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -139? (a) -0.9 (b) -4\/15 (c) -6.8 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*l**3*x + 24*f*x + 1906*l**5*x - 5*l*x - 3*x wrt l?\nAnswer: -6*f*l*x + 38120*l**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 5*r**2 + 5*r + 8. Let c be (-2)\/9 - (-11144)\/(-72). Let d = 154 + c. Let n(m) = m**2 + m + 1. Give d*v(k) + 5*n(k).\nAnswer: -k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > -799\/314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -446*o - 1837. What is the tens digit of m(-147)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -a + 2*a - 2*o, 4*o - 10 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5189317 + -5189270.99977. Let j = p - 46. Round j to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 a factor of 54884706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -9 + (-4)\/((-16)\/(-12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) -0.07 (c) 5 (d) -2\/19 (e) 21 (f) -4 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1915 + 24913\/13. Let u = 2702 - 2697. What is the smallest value in l, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 5. Let y(n) = n + 5. Let m be (-4)\/(-6)*3 + 1. Let o(p) = m*y(p) - 4*f(p). Let j be o(-6). Put 0, -2, j in decreasing order.\nAnswer: j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2102 + 11510?\nAnswer: 5404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 242 + -263.9. Let g = f - -21.8999869. What is g rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 52 = -60. Suppose 0 + 2\/3*y**2 + 2\/3*y**3 - 2\/3*y - 2\/3*y**j = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*h + 197994 = 194736 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.58277mm to centimeters.\nAnswer: 0.858277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 589, 2351, 5287, 9397?\n\"Answer: 587*w**2 + w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 13 = 3. Differentiate -2*a**n - 6 + 4 - 6 wrt a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 54*t + 3. Let u be k(6). Suppose 27 = 5*d + u. Let n be (-4)\/10*25\/d. Which is the nearest to 0? (a) -3 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1 = 3*m - 38, 5*m = 3*k + 75. Suppose -i + 0*i = -n + 1, 2*n + m = -2*i. Suppose -4 + 2 = -2*v. Sort i, v, 4.\nAnswer: i, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964560.\nAnswer: 2, 3, 5, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -11*l + 21137 + 3*l - 21139. Calculate x(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 3, 506, -3\/14, 0 in ascending order.\nAnswer: -14, -3\/14, 0, 3, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*k**2 + 586*k + 111556 + 531*k + 219*k + 15*k**2.\nAnswer: 4*(k + 167)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -107007 in -2\/19, -2\/31, 0?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 94463371.8 nanoseconds?\nAnswer: 0.0000001561894375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -59*n - 5. Let i be z(-2). Let o = i + -61. What is the greatest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-94687877\nAnswer: -189375754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, m: 3, n: 5}. What is prob of picking 2 m and 1 o?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 46324*h + 2042. Let b be o(-3). What is b rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 366 + -516. Let g = d + 149.99999954. Round g to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 3, r: 2, b: 1, z: 3, w: 2}. What is prob of sequence zw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3869 divided by -3869?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 47 + 157 = 27*j. Solve j*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045944 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 750825*m**6 + 3*m**3 + 111547*m**2 - 23*m.\nAnswer: 90099000*m**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 988?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + 46102531 - 46102531.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 739, 900, 1055, 1204?\n\"Answer: -3*t**2 + 170*t + 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534624 (base 7) in base 3?\nAnswer: 121200020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1256*r. Let w(u) = u - 12. Let z(h) = -3*h + 34. Let n(y) = 17*w(y) + 6*z(y). What is n(b(s))?\nAnswer: 1256*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -720, -710, -686, -642, -572, -470?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1, -5\/4, -9 in descending order.\nAnswer: 1, -0.5, -5\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 39792896 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, 8, 9, -5 in descending order.\nAnswer: 11, 9, 8, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 427. Does 17 divide c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.42601176 and 2.\nAnswer: -8.85202352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -6*b + 4 - 6 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4259*a**3*l**3 + 15234*a**2*l**3 wrt a?\nAnswer: -25554*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 193930553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 707627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 7. Let k = 3367.2 - 3367. Which is the nearest to -0.03? (a) 1\/4 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilogram in grams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + -39 + (-2 - 14) + -9 + -13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202864 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*m**3 - 209*m - 97*m**3 + 209*m.\nAnswer: -45*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jppjpp. What is prob of picking 1 p and 1 j?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 - 12*a + 2*a**3 - 3*a**2 + 11*a as d + q*a**2 + v*a + f*a**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-14)*(-56)\/240.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 5*q. Let m = -37 - -39. Suppose -a - 19 = -4*i, 4*a + 4 = 2*i + m*i. What is y(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*q - 16. Let s = 26 - 26.3. What is the closest to 0 in 3, s, q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7309 + 7322. Calculate the remainder when 163 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 8246951*g**2 + 15 + 3 - 8246945*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001672904376 to 5 dps.\nAnswer: 0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c741 + 2?\nAnswer: 4c743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137256 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-132)\/(-10)*((-78)\/(-12) - 4) and (-144)\/(-30)*(6 - 1).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/64 + (-2182)\/(-8). Let j be 4\/34 + (-32)\/h. Suppose 3*a + 3*t - 288 = j, 0*a = -4*a - t + 387. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + 5 + 31 + (11 - 29)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4*(-4 + sqrt(288))*1)*-1*2.\nAnswer: -24 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3061718 is divided by 1409?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/5 + 16*f**4\/5 - 216*f**3\/5 - 2592*f**2\/5 - 6912*f\/5 = 0. Calculate f.\nAnswer: -8, -6, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfg when three letters picked without replacement from {v: 4, l: 1, f: 7, j: 3, k: 1, g: 2}.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 + 6 - -20) + -13?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 != 944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2736) + sqrt(2736) + -1 + sqrt(19).\nAnswer: -3 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u + 8. Let v be f(-6). Let c(q) = v*q**2 - 4*q**2 - 2*q**2. Let w(b) = b**2. What is w(c(p))?\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723201 plus 18?\nAnswer: 1723219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -55. Let n = m - -18.99999993. What is n rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = 2. Let s(a) = a**2 - 2*a. Suppose -3*j + 15 - 3 = 0. Let b(m) = -2*m + j*m**2 - 5*m**2 + 3*m. What is d*s(t) + 2*b(t)?\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 892.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11)\/(p*p\/p**(1\/10)))**(-5\/14)*((p\/p**(-5)*p*p)\/p)\/(p\/(p**(-3)*p))*(p**4*p)\/(p*p**0) assuming p is positive.\nAnswer: p**(353\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*i + 2*x - 259 = 0, 3*x + 6 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bklye. What is prob of picking 2 y and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 279*z + 924.\nAnswer: -3*(z - 11)*(z + 4)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -7. Suppose -3*r + 2 = -4*r + 4*j, -4*r = 3*j - 11. Let q be r\/(-18)*3\/(-3). Which is the smallest value? (a) q (b) -1\/6 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(6\/(8 + 40)). Solve 0 = 4*m + u - 5*u + r, 0 = -4*m - 3*u - 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 43. Let h be (0 - y\/(-8))*0. Factor -16\/9*t**3 - 8\/9*t**2 + 0*t - 2\/9*t**5 - 10\/9*t**4 + h.\nAnswer: -2*t**2*(t + 1)*(t + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 893311945 to the nearest integer?\nAnswer: 29888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.021 times 60892\nAnswer: 62170.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 15*y - 6. Let n be o(-8). Let d(a) = -3*a + 0*a**2 + a**2 + 0 - 3*a**2 - a**3 - 3 - a**n. What is d(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14150*c - 381 = 14128*c + 433 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 = -4. Suppose 12 = 2*d + q + q, l*q + 16 = 0. Let t(x) = -x + 9. Let o be t(5). Solve -c + o*u = d, -2*c = -c + u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 278717 and 38?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -d93 (base 14) in base 9?\nAnswer: -3604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/345 (b) 0.17 (c) 2\/3 (d) 0.3 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108895 and 3170860?\nAnswer: 2381315860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -25, -58, -119, -214?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14*(-84)\/(-108)*3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 - 218. Let o(f) = -f + 3. Let n(u) = u - 2. Let j(i) = -3*n(i) - 2*o(i). Let k(z) = 6*z. What is q*k(g) + 15*j(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24696 and 11112.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4\/5 - 2\/5*b + 2\/5*b**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 9) in base 13?\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -1124561.\nAnswer: -1124561.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -1736c15?\nAnswer: -1736c11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9.9 (b) -2 (c) 2\/39 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 3*v**2 - 2*v**2 + (-v**2 + v**2 - v**2)*(3 + 1 - 2) + 2*v**2 + v**2 + v**2 + (0*v - v - 2*v)*(-2*v + 2 - 2).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, t: 5}. Give prob of picking 1 t and 1 o.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 184, 414, 736?\nAnswer: 1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 594 = -132. Calculate the common denominator of 1*(y\/(-6) - -2) and 3\/(22\/(-10) + 0).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-14))\/(918\/108)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t - 27. Let r be 1 + 8\/(-4) + -8. Let p be u(r). Solve 0*q = 3*q + p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:34 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c - 868 + 30*c - 874 + 3538 - 1796.\nAnswer: 60*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*d - 3 - 436*d + 3 + 218*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3205687 is divided by 1102.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50044 and 36006658?\nAnswer: 72013316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 47. Let s(h) = 3 - 2 + h - 1 + 3. Let o be s(-3). Solve o*r - q*r = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 5 + 37 - 3*y**2 + 8*y**2 - 23.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 34 - 19. Solve -11 = -n*h - 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.047 - -1.1. Round v to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 divided by 258668?\nAnswer: -327\/258668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (574420\/(-42))\/((-85)\/306)?\nAnswer: 2, 3, 11, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 49. Let v(i) = -4*i**3 + i + 1. Let a be v(-1). Suppose -a*l + k + 15 = -u, l = 3*k - 1. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(243) + 0 - (sqrt(243) - 2*sqrt(243)*-1))**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 3*x + 20, -x - 12 = -293*l + 297*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 12:50 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1635710 (base 11) to base 12.\nAnswer: -b2621b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201115102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6066, 24127, 54204, 96297, 150406?\nAnswer: 216531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -8*q**2 + 426*q - 37. What is d(53)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeii when four letters picked without replacement from uiueuuuuiuuuueeiuueu.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -116832?\nAnswer: 116837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365*r - 1 + 3 - 1094*r + 364*r + 361*r - 2.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11930000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p - 3. Is s(2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209 - 213.5. Let q = -81.1 - -85. Let d = h + q. Which is the third smallest value? (a) -2\/7 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.2 (b) -2 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 16 = -2*v - c, -5*v - 34 = 2*c. Let m = v + 4. What is the closest to m in -3, -5\/3, 2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/69 - 2587\/2001. Let l be 2\/10*4\/(-3396). Let b = l - 58579\/8490. Calculate the common denominator of q and b.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -32, -8*g - 3*f - 8 = -12*g. Let z(t) = 11*t**3 + 7*t**2 - 8*t - 11. Let c(o) = 4*o**3 + 2*o**2 - 3*o - 4. What is g*c(l) - 3*z(l)?\nAnswer: -l**3 - 5*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 - 2*s - 4. Let k(m) = m**2 + 3*m. Let y be k(-4). What is f(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w + 19*w - 2044 - 539 = 0 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {t: 2, b: 5, w: 1, k: 1, v: 3, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = 0. Suppose k = -5*x - 0*x. Let d(g) = g**2 + 8. Give d(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 3*p**2 - 4*p + 2. Let q be m(4). Suppose 0 = -5*z + 10, x - 5*z = -q + 7. Solve -4*k = -12, x = h + 4*k - 0*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4 + (sqrt(175) - sqrt(175)*-2) + sqrt(175))**2 + -3).\nAnswer: 800*sqrt(7) + 14065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjmquuqmqju. Give prob of picking 1 j, 2 m, and 1 q.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11806*l**2 - 13730*l**2 + 25533*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -18, 3\/7, -2, 523?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + a**2 - 2*a**3)*((-5*a - 6*a + 3*a)*(1 - 7 + 4) - 53*a - 60 + 60).\nAnswer: 74*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -90 + -3 + (-2)\/4*-2. Let x = 19 - p. Let s = x - 71. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -667, -668, -669, -670, -671, -672?\n\"Answer: -o - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34619157.\nAnswer: 3, 17, 31, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -14*v**4 - 192*v**3 - 490*v**2 + 912*v - 216 = 0.\nAnswer: -9, -6, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/2)*s)**29 assuming s is positive.\nAnswer: s**(145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s + 5. Let m(y) = -9*y + 4. Let t(b) = -m(b) - 5*v(b). Determine t(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 6*d + 7. Let s be t(5). Suppose m + s*m + 18 = 0. Let p = m - -6. Solve 3*g + p*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-11\/2))**(23\/3)*w**(-2\/3)\/w**(1\/9))**(-23) assuming w is positive.\nAnswer: w**(-20309\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/32 - (4 + (-94)\/24)*975.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4297073 or 4297071?\nAnswer: 4297071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8351, -33509, -75447, -134165, -209663, -301941?\nAnswer: -410999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 + 4 + 0 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.26 and -0.06?\nAnswer: -0.0156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.36 + 0.66. Which is the nearest to 0.1? (a) -3\/5 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920442313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t. Let k(a) = -28087057 + 28087057 - 2057*a. Determine k(f(q)).\nAnswer: 4114*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 418.99965 - 419. Round v to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, x: 3, z: 1, u: 1, n: 3}. Give prob of picking 1 z and 1 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -7\/2*u**2 + 7*u + 1\/20*u**5 + 7\/6*u**3 + 7\/12*u**4 + 0. What is v(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j + 12. Let r be d(-3). Let z = -159\/4 + 40. Find w such that 1\/4*w**r - 1\/4*w - z*w**2 + 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6087\/5 - 1218. Let x = 1.9 + 10.1. Sort y, x, -1\/4.\nAnswer: y, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 601647917?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 650*h**6\/3 + 2*h**3\/3 - 131*h**2\/2 - 1520. What is the third derivative of u(n) wrt n?\nAnswer: 78000*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 - 3*x**2 + 26 + 25 to the form b*x**2 + c + o*x and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 658700847?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301 != 2301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/10 and -7\/590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**4 + 4*a**4 - 5*a - 2*a**2 + 4*a**4 - 4*a**3 + 2*a**4 + 4*a**3 + (-2*a**2 - 1 + 1)*(5*a**2 + 2*a**2 - 3*a**2).\nAnswer: -4*a**4 - 2*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (750\/(-9))\/((-178)\/267). Solve -f + 123 = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) 2277 (c) -2\/15 (d) 0.3 (e) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 s when four letters picked without replacement from ssiissoossf.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*j**2 + 13*j**2 + 3*j + 16*j**2 + 8*j**2 wrt j.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**5 + 3*q**3 - 3*q**3)*((2 + 0 - 9)*(-2 - 10 - 2) - 1 + 2 - 2 + (-1 + 0 + 2)*(1 + 0 - 4)).\nAnswer: -282*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1192*c**3*p + 6792*c**3 - 3*c**2*p**2 wrt p?\nAnswer: 1192*c**3 - 6*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-1 - 5) + 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b**3 + 13\/4*b**4 - 3\/2*b**5 - 21\/4*b**2 - 23\/2*b + 2 = 0.\nAnswer: -2, -1, 1\/6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 956537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1)\/((-876)\/(-1533)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2\/11 - 500894*y\/11 - 14023464\/11 = 0.\nAnswer: -250419, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*v + v = -55, 5 = k + v. Suppose -7*i = k - 402. Let h(s) = -13*s - 7. Let l be h(-7). What is the highest common divisor of i and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2602, -0.3, -1.2, 6 in descending order.\nAnswer: 2602, 6, -0.3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 6*o - 15. Let w be (-3)\/(-5)*15*(-3 - -2). Calculate the least common multiple of 21 and d(w).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m**3 - 4*m**2 - 507*m - 503. Calculate u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/18520 and 145\/1316772.\nAnswer: 13167720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196 - -282. What is the remainder when w is divided by (220\/(-100))\/(5\/(-50))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t + 17*t = -45*t + 82*t - 418 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 618629544 and 68736616.\nAnswer: 618629544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 15, 13, 11, 9, 7?\n\"Answer: -2*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86.63 - 87. Let d = i + 0.57. Suppose 3*c = f + 4 + 1, 0 = -5*f + 20. Which is greater: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**3*k*n + 3*i**3 - 272*i**2*n - 111*i*k*n wrt k.\nAnswer: -i**3*n - 111*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 314800 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -327049, -327056, -327063, -327070, -327077, -327084?\n\"Answer: -7*j - 327042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -539858, -4318876, -14576212, -34551026, -67482478?\n\"Answer: -539860*x**3 + x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 9*l - 2. Let o(c) = -3*c**2 - 892632 + 892632. Give o(f(t)).\nAnswer: -243*t**2 + 108*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100417.4ml to litres.\nAnswer: 100.4174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10942 divided by 12716?\nAnswer: 5471\/6358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 673655*g**4 - 2*g**2 + 31435127*g?\nAnswer: 8083860*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140400 and 750.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.3016 + -957.3984. Round n to the nearest ten.\nAnswer: -960","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {k: 13, w: 5}.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 7, -232848?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 12)*(-5)\/(-15). Suppose 1337 = -2*n + k*n. Suppose -4*v = -0*v + 3*a - 1786, -3*v = a - n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 24*h - 10. Let r(k) = 7*k - 3. Let v(a) = 2*i(a) - 7*r(a). Let g(m) = -4*m - 3. Calculate -g(s) + 6*v(s).\nAnswer: -2*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516*v**2 - 2*v + 455*v**2 + 1317*v**3 - 971*v**2.\nAnswer: 1317*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.8 (b) 40 (c) 86 (d) -4 (e) -0.102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1. Let p(v) = 0*v**2 + 8 - 51*v + v**2 + 38*v. Let y(n) = -p(n) + 6*r(n). Is y(6) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (10\/2 - 2). Suppose y = -0*f - 4*f + 44. Suppose -144 - 11 = -5*b. What is the remainder when b is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 + -88. Suppose 3*o - 27 = 54. Suppose -3*l = -o - b. Is 31 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h + 8 = 0. Let g(o) = -o**2 + 8*o + 2. What is the units digit of g(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112448626 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(2)*5 + sqrt(22) + sqrt(22))\/((sqrt(275) + sqrt(11))*2) + -1.\nAnswer: -1 + 7*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 9*c = 0. Suppose -3*x + 18 + 6 = c. Calculate the greatest common factor of 24 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s**17)\/(((s**6*s)\/s)\/s*s**13) assuming s is positive.\nAnswer: s**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 - 8021522*f + 16086203799121 = 0.\nAnswer: 4010761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*q**4 - q**3 + 77?\nAnswer: -20*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24439 - 9396. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 4*m. Let c be (11 - 0) + -19 + 13. Let v = -4 - -4. Suppose v = -r - c*r + 18. Determine i(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6433 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbfbbyyyfff. Give prob of sequence bbb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - 25?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -10*v - 20. Which is the second biggest value? (a) v (b) 0 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3530, -11590, -33536, -76310, -146854, -252110, -399020, -594526?\nAnswer: -845570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 82, 156, 242, 346, 474, 632?\n\"Answer: j**3 + 67*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*u + 31, 5*u + 39 - 104 = 5*a. Let t be (-14 - (-18)\/(-6))\/(2\/a). Suppose -5*h - 4*m = -7*m - 115, t = 3*h - 5*m. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t = 574, 99029*w + 5*t = 99033*w + 193 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -174, 1, 4, -38 in increasing order.\nAnswer: -174, -38, -32, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11397 and 24.\nAnswer: 91176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4754879 is divided by 299?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 rounded to 0 decimal places?\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 - (-172)\/(-36). Let l(m) = -m + 3. Let y be l(0). Put j, y, -4 in descending order.\nAnswer: y, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w - 2\/15*w**3 - 1\/20*w**4 - 7*w**2 + 0 - 1\/150*w**5. Solve y(z) = 0 for z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*v + 17*v + 165 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2483, -2488, -2491, -2486, -2467, -2428, -2363, -2266?\n\"Answer: c**3 - 5*c**2 + 3*c - 2482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 14. Let o be a(10). Suppose 0*h + o*h = 68. Suppose q = -3*p + h, -2*q = -3*p - 0 + 2. Solve 21 = 3*d + 3*m, 5*d - p*m = d - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a hour in seconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 203863199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113039 times -0.23?\nAnswer: 0.02599897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -781 times -0.4?\nAnswer: 312.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.166 take away -60?\nAnswer: 62.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**3 + 2*z**2 - 3*z + 2. Let p(w) = 41*w - 407. Let f(n) = 21*n - 203. Let j(k) = 9*f(k) - 4*p(k). Let u be j(8). Calculate g(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4753 (base 9) to base 7\nAnswer: 13203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4707710589?\nAnswer: 3, 1569236863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**(-23))*f)**10\/((f\/(f*f*f*f**(12\/5)*f))\/f**(1\/22)) assuming f is positive.\nAnswer: f**(25899\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-8)*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -305 divided by 5?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, -3, 5\/7, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**2 - 29970*m + 29965 = 0.\nAnswer: 1, 5993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*k - 4943 - 3967 = 0 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6760 - 11482 = -168*p + 8382. What is the greatest common factor of p and 5538?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50987 divided by 1332.\nAnswer: -50987\/1332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 5*i - 5*i)*(-i**2 + i**2 - i**2) - i**4 - i**4 + 3*i**4.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -630.83 + 652. Let j = -21 + n. Let x = -0.17035 + j. Round x to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let q(d) = -5*d - 36. Let o(b) = -q(b) + 2*z(b). Let j be o(-16). Let v = 49 + j. Calculate the greatest common factor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 18. Let u(d) = -d + 3*d**2 + 2 + 2 - 3. Let l be u(4). What is the highest common divisor of l and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -122? (a) -6\/5 (b) -0.3 (c) -2\/7273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 12. Let n be x(-14). Let h be 22*(n + (-10)\/(-4)). Suppose -v = l + v - h, 5*v = l + 17. Solve l = w - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**3 + 9*l**3 + 10*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 12 - 29705*w + 6.\nAnswer: -29705*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from fuufgfqffppufmgmmfff.\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + z**2 - 4*z. Let l(n) be the second derivative of n**5\/20 - 19*n**4\/4 + 28*n**3\/3 - 3*n**2\/2 + 156*n. Let w be l(56). Give u(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -271\/11 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10}. What is prob of picking 2 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/112)\/(8\/7*-1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 80 or -2?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 7*n + 7. Suppose 4*u + 0*u = 28. Let b be x(u). Let k = 1 + b. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38754195\/58366 + -102297\/154. Let j = -2\/379 + g. Which is smaller: j or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-979)\/(-110) - (-2 - 0) and -27\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**5\/150 + 7*q**3\/45 - 2*q**2\/5 - 29*q - 21. Let h(o) be the first derivative of a(o). Determine l so that h(l) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/19 - 70*x**3\/19 + 508*x**2\/19 - 56*x + 624\/19 = 0 for x.\nAnswer: 1, 2, 6, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = 4*b + 8*w + 145, -53*b - 5*w + 143 = 49*b - 94*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39160*p - 4*k = -39159*p + 31, -p - 11 = -k for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 787000 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1292\/(-228))\/(-17)*(270\/(-3))\/3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 46741?\nAnswer: 46725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*p - 5 + 5)*(-p**2 + 0*p + 0*p + 0*p**2 + 0*p**2 + p**2 + (3 - 5 + 1)*(4*p**2 - 4*p**2 - 2*p**2)) as k + j*p**2 + r*p**3 + f*p and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2368850 to the power of 1\/2, to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7\/5*(-14)\/49.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-448)\/(-245) - (-90)\/(-63). Which is the nearest to -3? (a) 1 (b) -3\/7 (c) q (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0*f**2 - 203\/20*f**5 - 114 + 4\/3*f**4 + 1\/3*f**3 + f. What is the third derivative of d(o) wrt o?\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 20*t - 24*t + 268, 0 = 3*w - t - 374. What is the greatest common divisor of 12852 and w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9436 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 7905700 to the nearest one hundred thousand.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 23*r + 12. Let t be j(9). Let i = -374 + t. Solve 0 = -4*y + 5*g - 11, -i*y + 3*y - 5*g = 21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 177\/159820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2176*v**2 + 32*v - 2\/17.\nAnswer: -2*(136*v - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (-20)\/(-4)) + 5. Let r be o\/6 - 2\/(-3). Solve 3 = -4*h - r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 44*t**2 - 82*t + 31. Let n be i(42). Let f = 569\/5 - n. Which is the smallest value? (a) 1 (b) 5 (c) f (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49 or -48?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1248*o + 256702 = 2265*o + 3688*o - 204162 for o.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (8 - 8\/((-20)\/5)). Solve -n + a = -2*p, 0*p + 5 = -p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/21*(-133)\/114.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -853*z + 32093 - 111422 = 0 for z.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1102202220012100?\nAnswer: -1102202220012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44873179 to the nearest integer?\nAnswer: 6699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -71 (b) 269 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 9) to base 12.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 10:30 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 1}. What is prob of sequence llb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 14*q**2 + 21*q - 303. Let b be t(8). Let d be (15\/10)\/((-1)\/2). Sort d, b, -4 in decreasing order.\nAnswer: d, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8900988 is divided by 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -16*o**4\/7 - 1276*o**3\/7 - 5788*o**2\/7 - 6600*o\/7 = 0.\nAnswer: -75, -11\/4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 565*t. Let v(y) = 21*y. Let z(x) = 2*n(x) - 55*v(x). Let a(i) = -13*i. What is -7*a(c) + 3*z(c)?\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -3*c - 34. Let o(m) = 2*m - 22. Let v be o(-9). Let d be (6*(-4)\/v)\/(2\/50). What is the highest common factor of c and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1800 and 7018200.\nAnswer: 7018200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1369827 centuries?\nAnswer: 13.69827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2274 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 485237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-5))\/((-4)\/15). Let l = -5359 - -5335. What is the closest to l in -2\/3, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/4)\/(2150\/8772) and -47\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**7\/525 - x**6\/60 + 4*x**5\/75 - x**4\/15 + x**2. Determine h, given that q(h) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 39*o**2 - 7*o + 11. Let r(w) = -2*w**2 + w - 4. Give -b(m) - 4*r(m).\nAnswer: -31*m**2 + 3*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 90\/70 + -1 + 782\/7. Calculate the greatest common factor of 32 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06581 less than -0.01208?\nAnswer: -0.07789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32499 and 928341?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-8))\/(17\/(136\/(-35))*(-8)\/6)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y - 9. Let g be 174\/(-24) - (-1)\/4. Let d = 14 + g. What is the smallest common multiple of z(d) and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104225.1 * 0.576.\nAnswer: 60033.6576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74993302.\nAnswer: 2, 37, 283, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.1 (b) 0 (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 3. Let x = g + 29. Suppose 0 = -v + 4*y + y + 24, -4*y = -4*v + x. Solve 0 = 2*b - v*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8513365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 4*d + 2. Let u be v(-2). Let o be 102\/24 + u\/(-8). Suppose -5*h + o*l + 13 = 0, 4*l = 4*h - 4 - 4. Sort 2, h, 0.\nAnswer: 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 405*c + 3121*c + 3526 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/8195 and 25\/33.\nAnswer: 24585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/15 - (93\/(-124) + 1222\/440) and 3\/(-10)*(-141)\/(-27).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751009695.\nAnswer: 3, 5, 523, 95731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 11*c + 10. Let o be u(-10). Suppose o*l + 3*l = -4*q - 12, 0 = -q - 4*l - 16. Solve q*t = -5*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(21\/28) - (0 + -29). Solve 4*f - 17 + q = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199082?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30176 = -84*v + 31268 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npn when three letters picked without replacement from nnnnpppnnppp?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -0.125344.\nAnswer: -0.125344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**2 - 11*f + 5. Let n(v) = -2*v**2 + 5*v - 2. Let c = -15643 + 15638. Give c*n(l) - 2*t(l).\nAnswer: 2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 + 41805.801268\nAnswer: 41805.761268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*m**5 + 5*m**3 - 5*m**3 + 0*m**5 - 3*m**5 + m**5 + 0*m + 2*m**5 + 0*m + (m**2 - m**2 + m**2)*(-2*m**3 - 2*m**3 + 5*m**3).\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.81 - 3. Let y = c + 0.08. Let o = y - -0.091. Round o to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 587.6127 micrograms?\nAnswer: 587612.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 781879 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g + 0*g - 2*g - 2*g + 174*g**2 - 2065*g**3 + 8*g wrt g?\nAnswer: -12390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 17*w = -12*w + 15, 4*a + 24 = -w for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87*y**4 + y**5 - 90*y**4 + 172*y**4 + (4*y**3 - 5*y**3 + 0*y**3)*(-3*y**2 - 2*y**2 + 4*y**2) + 0*y**5 - y**5 + 3*y**5 + 3*y**3 - 3*y**3 + 2*y**5.\nAnswer: 6*y**5 - 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189332499.\nAnswer: 3, 63110833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**2\/7 - 2903968*i\/7 - 527064384064\/7 = 0.\nAnswer: -362996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 7. Let w(j) be the first derivative of 1\/3*j**3 - 2*j - 1\/2*j**2 + 1. Calculate w(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10020331 + 7?\nAnswer: 10020340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1081*s - 605 + 205 + 196 + 209 + (1 + 2 - 2)*(2*s + s - s) as b + h*s and give h.\nAnswer: 1083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**2 + 2. Let m(t) = -13*t**2 - t + 5. Let p(b) = 3*m(b) - 7*o(b). Let j(x) = x**2 - x. Calculate -2*j(d) + p(d).\nAnswer: d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30.57 - -30.27. Which is the closest to 1? (a) 1.2 (b) 0.49 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -2\/3*p**3 + 6*p**2 - 5 - 10*p. Determine m, given that z(m) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 857 + -488. Suppose b = 3*i - 924. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -196728 by -1171.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*(-1 - 5\/(-4)). Suppose 0 = w*x + 4*n - 8, -n + 4*n + 3 = 3*x. Solve -x - 8 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34545444 (base 7) to base 10.\nAnswer: -3036807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -76?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-33))**5\/(((d*d**(-22\/9)\/d)\/d*d)\/d**(1\/4)) assuming d is positive.\nAnswer: d**(-5843\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*t - 3*a - 0*a, -4*t - 2*a = -30. Let k be (-3 + 21\/5)*t + 0. Suppose 90*c = 93*c - k. Solve 0*d = -c*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000100000111100000 (base 2) to base 9.\nAnswer: 464648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 6. Let b be f(-9). Suppose -5 = b*g + 7. Let y = g - -7. Solve -n - 1 = j, -n = -3*n - j + y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(528) - (sqrt(528)*-1 + sqrt(528))*-3))\/((sqrt(15)*1)\/sqrt(5) + -6*(sqrt(3) - sqrt(75))).\nAnswer: 12*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -41*w. Let z(q) = 2*q**2 - 3*q + 6. Let f be z(3). Let s(i) = 16 - 16 - 13*i + f*i. Calculate s(j(p)).\nAnswer: -82*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1\/(-4)) + -28 + 35. Suppose 8 = q*o - 7*o. Is -4\/5 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -20. Suppose f = 7*i - 6*i - 1215. Suppose -5*v = 5*k - 1647 + 122, 4*k - v - i = 0. Calculate the greatest common factor of k and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 36539 = 44631 - 11835. Do w and 9907 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -33, 9, -5, -7 in ascending order.\nAnswer: -33, -7, -5, 0.7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 3*z + 2. Let m be t(3). Suppose 2*l = -4*u + 28, l + 30 = m*l - 2*u. Calculate the greatest common factor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78\/52*1\/(-7)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21*(-1)\/(3\/7). Let n = g + 70. Solve 0 = 4*h - 5 + n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 + 72*j**3 + 252*j**2 + 16*j - 336.\nAnswer: -4*(j - 21)*(j - 1)*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:56 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325125 and 9945?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19805, 19935, 20149, 20447, 20829?\nAnswer: 21295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/7)*m)\/(m**(-3)*m)*((m**(2\/15)*m)\/m)\/m*m**(2\/17)*m*m)\/((m\/(m\/(m*m**(-1))))**(-9))**47 assuming m is positive.\nAnswer: m**(7843\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 divided by -5?\nAnswer: 196\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 4*n**2 - 3*n**2)*(-11172 + 155*n**2 + 11172)*(2 - 4 + 3).\nAnswer: -310*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 9*w - 18. Let x be t(-4). Let k be 6\/(5\/x + -1). Suppose 2*p = -p + y + 199, k*y + 16 = 0. What are the prime factors of p?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 21 - (1 + -1) - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*85\/(-85)*-1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3153? (a) -4 (b) -3\/8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49\/33 - 20\/11. Let t be (3 + 0)*12\/(-216). What is the closest to a in t, 1\/2, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 736\/3 + (-1)\/3. Suppose -n = -9*v - 74. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-6)\/4*(-2)\/6)\/((-20)\/(-264080))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*q + 197*q + 103*q + 222.\nAnswer: -177*q + 222","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+14158100\nAnswer: 14158099.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*s + 162058907 + 335093733 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, y: 2, g: 4, c: 3, e: 2, l: 2}. What is prob of picking 1 e, 1 c, and 2 l?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51344, -210068, -474616, -844994, -1321208, -1903264, -2591168?\n\"Answer: -i**3 - 52906*i**2 + i + 1562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -23\/24*u**4 + 0*u + 0 + 15\/2*u**3 + 9*u**2. Find the first derivative of x(h) wrt h.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538855 = -13*y + 87030. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g - 138. Give p(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -407, -1303, -2711, -4631?\n\"Answer: -256*k**2 - 128*k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144240 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -4, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180579331.8 seconds to weeks.\nAnswer: 298.5769375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -70500 rounded to the nearest 1000?\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 1)**2 + 3 + -5 - ((-3 + -3*sqrt(7))**2 + (sqrt(56)\/sqrt(2))\/sqrt(4)).\nAnswer: -45 - 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a (base 16) in base 6?\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -48577887 + 4?\nAnswer: -48577883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 - (85\/(-100) + 1). What is the biggest value in l, 1\/6, -3, -7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**2 - 122*i - 1195. Give y(-12).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1143*j + 460*j = 43712 for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2792 divide 369691194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002467174618 to 7 dps.\nAnswer: -0.0002467","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n + 12. Let b(m) = -25*m - 155. Let f(c) = -3*b(c) - 40*d(c). Suppose -r + 5*o - 15 = 0, -3*r + o = -r + 21. What is the tens digit of f(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 + 2*q**3.\nAnswer: -q**3*(q - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 + (-17 - 109) + -46?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-4) + -2 + -3. Let o(p) = 12*p - 38. Let d(c) = -4*c + 12. Let l(y) = -19*d(y) - 6*o(y). Calculate l(j).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -7 - -8) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-4 + 4)) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -19480 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928.9176 grams to kilograms.\nAnswer: 0.9289176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 6*s**2 - 15*s - 2. Let f be y(8). Let l(q) = q**3 - 5*q**2 - 7*q + 14. Let n be l(f). Solve -5*x = -3*u + 8, 4*u = -x - n - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-30)\/12) - 483. Let z = -288 - i. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 3:18 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18716*m = -13781*m - 389865 for m.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 l, and 1 q when four letters picked without replacement from {l: 6, z: 4, q: 1}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 48*v**2 + 99*v + 54. Let n be p(50). Solve -4*i - h = 1, n*i - 2 = -h + 3*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -7. Suppose 3*x + 2*f = 29, -5*x + 4*f = j - 70. Suppose -3*n = -5*n + 40. Calculate the remainder when n is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2892, -3479, -4488, -5931, -7820, -10167, -12984?\nAnswer: -16283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 - -0.13992. What is n rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 - 34*q + 621*q + 2 as u + x*q and give x.\nAnswer: 587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 54 + -3347018\nAnswer: -3346964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 66*v - 26 - 19.\nAnswer: 66*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10*(0 - 18\/15). Suppose t = -2*t + z. Suppose 0 = -t*l + 20 + 96. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 6:08 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22200 (base 3) in base 15?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30312545 (base 7) in base 8?\nAnswer: 11502377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 5, -1, 2\/17, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**4\/4 + 8191*d**3\/4 + 106821*d**2\/2 = 0.\nAnswer: -26, 0, 8217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143 + 143 + 18*v)*(0 - 2 + 4)*(-22*v + 2*v**3 + 88*v**2 - 88*v**2).\nAnswer: 72*v**4 - 792*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 24108 = -28*k. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + k + 62, -2*k = -4 - 0. Let x = a + 32. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 2*l - 2*l)*(-288*l - 90*l + 95*l)*(-3 - 3 - 30) in the form u*l + c + w*l**2 and give w.\nAnswer: -10188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -71\/481741 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56259897, 56259900, 56259905, 56259912, 56259921?\nAnswer: 56259932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 5*v**2 - 3*v + 1. Let i = -15 + 8. Let w = i + 11. Let g be d(w). Put g, -4, -5 in ascending order.\nAnswer: -5, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*p - 2764, -p - 2*m = 3*p - 2752. Is p a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/17, -4, 0.01, -11?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*5\/(-60))\/((-25)\/(-150)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*d + 223*d + 10*d**3 - 110*d.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, y: 1, k: 7, m: 1}. Give prob of picking 2 n and 1 m.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222012120 + 20212?\nAnswer: -2221221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2\/3 - 208532*n\/3 + 90620336\/3 = 0. Calculate n.\nAnswer: -52564, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*1\/(-8))\/((-7)\/(-134232)*34). Solve -173 = -4*n - v for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6112 and 24448?\nAnswer: 24448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4866 times 2?\nAnswer: 9732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 51 (base 6) to base 3\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 24.\nAnswer: 23\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647442251?\nAnswer: 1583, 408997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -369, -364, -359, -354?\n\"Answer: 5*w - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 847\/242*((-6)\/14 - 0)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5. Let g(c) = -9. Let d(x) = -3*g(x) + 5*n(x). Suppose 4 = 4*b + 20, -5*h = -4*b - 6. Let t(s) = s - 9. Determine h*t(r) - 9*d(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**34\/m**(-1\/25)*m\/m**(-8)*m**36\/m assuming m is positive.\nAnswer: m**(1951\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 195 + 0*t**2 - 34\/55*t**5 + 4\/11*t**4 + 2\/33*t**6 + 0*t**3 + 0*t. Factor n(d).\nAnswer: 2*d**3*(d - 8)*(2*d - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 3:30 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 11:35 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w = -11*w - 2. Suppose y - n = 2, -2*y = -4*n - w + 4. What is the greatest common divisor of y and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 6*x**2 - 3*x - 6. Let p be v(5). Suppose 0 = p*d - 7*d. Suppose 0 = -4*j - d*j + 32. Solve -j = 5*z - z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/7)\/((-30)\/(-70)). Find u, given that k*u + 0 + 1\/3*u**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*w - 3*w - 57 = 0, -4*l = 2*w + 70. Find the common denominator of (l\/(-360))\/(2\/276) and -52\/21.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in -3, -1\/3, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1496391892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - x**3 + 7)*(3 - x - 3)*(5 + 3 + 1) to j*x**4 + c*x**3 + n*x**2 + t*x + z and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1119 divide 11235879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17381.2 - 17381. Let i = -1.6 - 0.4. Sort i, -15, d in ascending order.\nAnswer: -15, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3631 - 3717) + 0 + 6?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465.145ml in litres?\nAnswer: 1.465145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 223*p + 104*p + 8396 + 1741 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2175 + 825. Suppose -4*c - k = -0*c. Is -2 + 3 + c\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m + 120 = 5*n, -m + 120 = 5*n. Let x = n - 120. Round x to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/4 - 2*w**3 - 3*w**2 - 3*w + 1. Let x be m(-5). Solve -5 = x*c + 5*z, 5 = 2*c - 3*z - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 130?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (8 + 0 + -1)) + (41586 - 41598).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**3 + 675*g**2 + 5640*g + 11440 = 0.\nAnswer: -4, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8347 = -17*k - 0*k. Let u = k + -122. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -23258.\nAnswer: 3\/23258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1989, 2022, 2077, 2154, 2253, 2374, 2517?\n\"Answer: 11*s**2 + 1978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -60. Solve n*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -692, -1744, -3158, -4934, -7072, -9572?\nAnswer: -12434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -241 + -1135?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 2148*f**3 + 0*f - 2147*f**3 - 60*f**2 to l*f**2 + o + j*f**3 + h*f and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2674, 0.02, -4, 426 in ascending order.\nAnswer: -4, -0.3, 0.02, 426, 2674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 3*r = 9, 0 = -3*j + 101*r - 100*r - 13 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1915 = -4*y + 3*y. Let w be (18\/(-4))\/((-141)\/(-16168)). Let f = w - y. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*n + 154*n - 575 + 575.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 113, 126, 87, -4, -147, -342, -589?\n\"Answer: -26*j**2 + 91*j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 202696 and 416?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1342 + 172. What are the prime factors of q?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p - 2. Let t be j(2). Suppose 0 = t*g - g + 9. Does 10 divide ((-30)\/4)\/(g\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3167031970.\nAnswer: 2, 5, 7549, 41953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41602994 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115122*v - 2*z = 115117*v - 4, v + z = -5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/4*(-16)\/12. Let d(v) = v**3 - 7*v**2 + 5*v + 8. Let o be d(a). Suppose -5*y + o*y + 24 = 0. Solve 3*i + i + y = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985174.\nAnswer: 2, 492587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1152, 157, -1562, -4005, -7172, -11063?\nAnswer: -15678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 85, 51401 in increasing order.\nAnswer: -4, 85, 51401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 12891500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 - 4*q + 2. Suppose 2 = -2*k + 4, -3*k = 4*x - 27. Is y(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53 and 4?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71 times -8?\nAnswer: -5.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 18\/(-4))*-6. Let l = d - 18. Solve l + 5 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262993668 divided by -48811?\nAnswer: -5388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161\/(-189) + (-5)\/((-15)\/18)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 19*q**2 - q. Let u be x(-1). Suppose -z - z = 4*v - u, 5*v + z = 28. What is the third derivative of 2*s**2 + 0*s**2 - 3*s**v + s**6 wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5*i + 20, -2*a - 1628 = -5*i - 1633 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 - 293*p**2 + 1278*p - 49. Calculate l(142).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5215526 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2398, 4799, 7200?\nAnswer: 9601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0511 greater than or equal to 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 3*f + 1. Let w be i(7). Suppose 0 = -3*y + 139 + w. List the prime factors of y.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16659.8 + 16660. What is the third smallest value in q, -15, -2\/17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**2 + 0 + 1\/60*i**5 - 1\/2*i**3 + 0*i - 1\/6*i**4. Let j = 47 - 43. Calculate y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = -5*o + 33670, -o = 4*h - 6750. Is (o\/(-25))\/(6\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2. Let r(i) be the third derivative of 0 + 1\/12*i**5 + 0*i**3 + 0*i**4 + 0*i + 2*i**2. What is w(r(z))?\nAnswer: -50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 57*f - 257 = 56*f, -3*f = 4*r - 221. What is the least common multiple of r and 950?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7205 + 8807. Is 178 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 556 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*o - 13 - 13 = 0, 3*i + 2*o - 9 = 0. Suppose -p = i*p + 498600. What is p rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.381 rounded to 1 decimal place?\nAnswer: 21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 34*n + 4 = 36*n, -i - n - 8 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 7*z**2 - 8*z + 13. Calculate h(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 7*q**2 + 8*q + 2. Let b be d(8). Solve -5*l = 2*y - 6, -2*y - 8 = -b*l - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 699 - 142. What are the prime factors of r?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6099544337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - 7252*h**2 - 36186*h - 1. What is m(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*z + 38*z - 26*z - 437*z**2 + (z + 2*z + 0*z)*(29*z + 24*z - 59*z).\nAnswer: -455*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 234914000 smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -379, 3, 4 in decreasing order.\nAnswer: 4, 3, -3, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5 = -2*g + 1, -2*o = 2*g. Suppose k = -3*s + 1100, -9*s + 6*s - g*k = -1097. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 4, -18106, 1 in decreasing order.\nAnswer: 4, 1, -63, -18106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(1\/5))\/o**(-1))\/(o*o**(-5\/4)*o**(-3\/7)) assuming o is positive.\nAnswer: o**(487\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 61?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**5\/3 + 4*v**4 - 8*v**3\/3 - 8*v**2 + 4*v\/3 + 4 = 0. Calculate v.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 989 - 449. Let t = h - 307. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 2*l)*(2 - 4 + 0) + (0 - 2 + 6)*(1 + 2*l - 1) - 2*l + l + 5*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 25 = 0, -5*h = 15*l - 11*l + 15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1574618024 - -0.11.\nAnswer: 1574618024.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b + 3*b - 5*b - 2*b - 9*b. Let j(p) = -320*p**2. Determine t(j(l)).\nAnswer: 640*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/(-6*2\/15)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 715 and 7462195.\nAnswer: 82084145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-8)\/(-16))\/(49\/(-10) + 6).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 1. Let a be u(9). Suppose -3*h - a = -136. Let v = -21 + h. What is the greatest common divisor of 10 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35903531 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 30. Let q = f + 54. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p + 2*p**2 + 0*p**2 - 3*p**2. Let j be d(-2). Suppose 3*s + 520 = 7*s + j*h, 5*s = 4*h + 695. Calculate the greatest common divisor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsjswhb. Give prob of sequence sb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a + 132. Let s be b(6). Solve 105 = 3*q - 5*w + s, -q - 5*w = -3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.5 - -5. Let r be (4\/10)\/(1\/(-30)). Let t = -0.9337 - -0.9337. Which is the third biggest value? (a) t (b) -1\/4 (c) o (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 63 = 5*s, -2*s + 58 = -3*w - w. Let h be w\/(-24) + (-178)\/(-3). Suppose 0 = 3*g - 2*g - h. What is the highest common divisor of 40 and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100828586, 100828585, 100828584, 100828583, 100828582?\nAnswer: 100828581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5595 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + -6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -2*t**3\/3 - 7. Let j(q) = q**3 - q**2 - 12*q. Let i be j(5). Let w(o) = i*o + 45*o - 136*o. Determine n(w(h)).\nAnswer: -5202*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30445, 60896, 91349, 121804?\n\"Answer: m**2 + 30448*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46508 (base 10) to base 8.\nAnswer: -132654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0599 + -24.7201. Let r = -25 - q. Let h = -1.78 + r. Put -4\/3, h, -2\/5 in descending order.\nAnswer: -2\/5, -4\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 7*i + 8. Let w(f) = f**2. Let t(d) = r(d) - 2*w(d). Let q be t(6). Solve 2*x = 2*j - 6*j + 6, 3 = -q*x - j for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/9953072 and -29\/26748881.\nAnswer: 427982096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 1.59, 2\/7, 26, -1.\nAnswer: -1, 2\/7, 1.59, 5, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 222 - 144. Let c = g - -6955. Suppose 41956 = 7*w + c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*l**3 - 5*l**2 - 239*l wrt l.\nAnswer: -48*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/11)\/o**(-2\/13) assuming o is positive.\nAnswer: o**(48\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 427, 1623, 3593, 6337?\n\"Answer: 387*j**2 + 35*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -6*l - 41. Let x = l - -12. Solve -16 = 5*z - 2*s, 3*s - x = 4*z + 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3555077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -461220 - 61?\nAnswer: -461281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 210 - 175. Let x be ((-98)\/l + -2)*1\/14. Let o = 0 - 0. Is x > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -65.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (128\/(-247))\/(-2) - (-92)\/(-874). Let h be 2 + -6 + (-36)\/(-9). Determine u, given that 2\/13*u + 4\/13*u**4 - 4\/13*u**2 + h - j*u**3 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2823 divide 111966537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 - (-1 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4 = -10*k + 5*k, -5*c - 5*k - 50 = 0. Is (2 + 0)*(-159)\/c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89*f**2*n*q - 92479*f**2*n - f**2*q + f*n*q + 5*f*q + 3*f + 3786*n*q - 9*n wrt f?\nAnswer: 178*n*q - 184958*n - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(6\/13)*o*o**(1\/58) assuming o is positive.\nAnswer: o**(1115\/754)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 585?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 51*r**2 - 134*r + 295. Let w(s) = 40*s**2 - 107*s + 236. Let g(c) = -11*b(c) + 14*w(c). Give g(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 o when four letters picked without replacement from {g: 3, o: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.6 + -9.58. Let f = 0.02 + -0.12. Suppose -6 = 2*y - 0*y. Which is the nearest to f? (a) g (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.036*-0.5.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -8*g - 7. Solve 11 = -2*z + t, -3 = z - g*t + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + -2 + -4 + 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 2:17 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -8266 (c) 1.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b18b (base 16) in base 6?\nAnswer: 21341031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pguuupgugupgu. Give prob of sequence uuu.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*((-2)\/(-6) + -1) - (-15812)\/3776 and -73\/4258?\nAnswer: 34064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 4*i + 4. Let n(w) = 3*w + 4. Let g(f) = 4*f + 5. Let y(s) = 4*g(s) - 5*n(s). Let z be y(-5). Calculate u(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 26*p**3\/3 + 2*p. Let q(m) = -m**2. Determine q(g(z)).\nAnswer: -2704*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 117. Suppose 729 = -93*x + y*x. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3266 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/59652 and 41\/107496?\nAnswer: 178120872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-207)\/(-99))\/(6\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 482987826 to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4752 is divided by 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 18*l**2 - 2*l - 362. Give s(-19).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 + 224 + 6*g - 439 + 217 + 14*g in the form c + s*g**2 + m*g and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*z**4 + 25*z**2 - 9*z**2 - 40*z**2 wrt z.\nAnswer: -552*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 11, -4 in increasing order.\nAnswer: -4, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 9*m - 5. Let t be (-5)\/(-2*(-2)\/4). Let s be k(t). Suppose 2*y - u + 2*u - 3 = 0, 5*u + s = 0. Solve w + 2*q = y, -5*w + 6 - 3 = -2*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 280, -2\/35, -3\/7, 5 in ascending order.\nAnswer: -3\/7, -2\/35, 5, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/(-18) - 3)*0. Let d be 2*5\/(-2) - -2. Let x be 4\/6*(2 - -1). Put x, z, d in increasing order.\nAnswer: d, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -34. Let l = x - 7. Suppose 2*y - 8 = -2*y. Solve 5*r - v - 29 = 0, -y*v - l = -r - 0*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/34033487?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 479183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 23*c**4 + 2*c**5 - 17*c**4 - 30*c**3 + 4*c**3 + 34*c**2 - 12*c - 4*c**3.\nAnswer: 2*c*(c - 1)**3*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16\/17 + 1. Is 0 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, m: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from llllmlml.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4172.8 rounded to the nearest ten?\nAnswer: -4170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 0.26 (b) -1 (c) -4 (d) -3\/5 (e) 855\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -5. Let m(c) = c**2 + c + 1. Let t(v) = -5*v**2 - 8*v - 1. Let d(f) = s*m(f) - t(f). Calculate d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23032542991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -34. Let l = -19 + a. Solve l = z + 4 - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 + 4)*(-9*n + 5*n + 8*n + 11).\nAnswer: -32*n - 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*b**3 + b**4 - 39*b**3 + 1 + 2*b**2 + 95*b**3 + 10*b**4 to o*b**4 + x*b**2 + r*b + q + m*b**3 and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from {j: 7, b: 1, q: 3, k: 3, d: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 75*k + 87. Let l(b) = -165*b - 175. What is -13*g(m) - 6*l(m)?\nAnswer: 15*m - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 17040*u + 204494. What is d(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 4344*d**2 - 4292*d - 52080.\nAnswer: -4*(d - 1085)*(d - 4)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79269742743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - q**2 - q + 1. Let g(t) = 2*t**2 - 12*t + 4. Let z(s) = -4*d(s) - g(s). Factor z(l).\nAnswer: -2*(l - 2)*(l + 2)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/m)**(-2\/69))**(-2)*((((m**14\/m)\/m)\/m)\/m*m*m**(-1\/24))**(-3\/5) assuming m is positive.\nAnswer: m**(-263\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216.76101 nanoseconds to minutes.\nAnswer: 0.0000000036126835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 10) in base 2?\nAnswer: -1101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 1:55 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 344181189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*l + 40*l = 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-320)\/150)\/((-2)\/(-9))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5 = a + 3, -5*a + 10 = 0. Suppose c*m = -m + 35. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 = 0, -3*w + 5*c - 7 = w. Solve 0 = i - w*i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbeba. Give prob of sequence fb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 542261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-30)\/(-105) - (-2)\/(-7). Let u(o) be the second derivative of -2*o + x*o**2 + 1\/12*o**4 + 0 + 0*o**3. Let g(q) = -q. What is u(g(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 9*o + 16. What is h(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 3*x**2\/2 + 31*x + 13. What is the remainder when n(8) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = 0. Suppose 29 - 5 = -4*d. Let a = -29\/5 - d. Is a != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60\/17 in 0.3, 2\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 7*q**2 + q + 9. What is s(-3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 2*v - 24. Calculate z(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 9159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*b - s, 61*b - s - 8 = 63*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 91. Let n = i - -32. What is the remainder when n is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-6 + -2 + 5)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -7*q - 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -3. Let u(b) = -b - 20467 - 23*b + 20559. Let y be u(2). What is the highest common factor of o and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1755 or 5.1398?\nAnswer: -1755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - o - 1. Let b(h) = 10*h**3 - 24*h**2 - 31*h + 6. Determine -b(w) - 6*j(w).\nAnswer: -10*w**3 + 37*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*((-129)\/15 - -2)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 f, and 2 m when four letters picked without replacement from mfmmffmfwfwf.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, -65, -99\/41?\nAnswer: -99\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176686984037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -16, -64, -152, -292, -496, -776, -1144?\nAnswer: -1612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-58106)\/7280 + -2 + 10 and -131\/5200.\nAnswer: 36400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -573109 or -573108?\nAnswer: -573108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {h: 4, t: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 1823897771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/sqrt(9)*-4)**2 + sqrt(5))*1 - (3*(sqrt(5) - (sqrt(5) + -1)) - (1 + sqrt(45))).\nAnswer: 4*sqrt(5) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -27\/13, 0, -2\/5, -4 in decreasing order.\nAnswer: 0, -2\/5, -27\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 52*r - 51*r - 883 = 0, -4*s = -4*r - 692. What is the least common multiple of s and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 24 = 8*y. Let a(z) be the first derivative of z**2\/2 - 179. Let t(x) = 3*x**2 - 9*x - 1. Let d(r) = y*a(r) + t(r). What is d(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421 - 419 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + (-4*sqrt(216))\/sqrt(8))*-6)\/(sqrt(36)\/sqrt(4)*6 + sqrt(9) + (sqrt(108)\/(sqrt(24)\/sqrt(2)) - sqrt(9) - sqrt(9))) + 1.\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 10 = 0, -1730*y + 1733*y - h = 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10706, -21425, -32146, -42869, -53594, -64321, -75050?\n\"Answer: -t**2 - 10716*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3\/(-6) - 27\/(-12)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s + 3 + 5*s + s. Calculate the remainder when 25 is divided by b(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*-2*6 + sqrt(304) + sqrt(304) + -1 + -3 - (sqrt(304) - (sqrt(304) + 1)*2 - (-4 + (sqrt(304) + -1 - sqrt(304)) + sqrt(304))))**2.\nAnswer: 448*sqrt(19) + 19505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9082, 9082, 9084, 9088, 9094, 9102?\n\"Answer: c**2 - 3*c + 9084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*w + 6. What is the remainder when 11 is divided by (w\/6)\/(1\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1\/v)\/(v\/(v*v*v**(2\/7))))\/(v**(-2)*v)**29)**(3\/11) assuming v is positive.\nAnswer: v**(636\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 1 (c) 4\/3 (d) 17.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (2 - 10)) + -10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = -15. Find the common denominator of 49\/x + (-1)\/2 and ((-8)\/(-12))\/((-1)\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*i - 624, -99 = 12*z - z. Calculate the least common multiple of i and 840.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 307255185 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {v: 11, q: 5}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (8 + 4 + -9) - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -56. What is the second derivative of -2*k - 14*k**4 + 27*k**4 + 0*k - 22*k**c wrt k?\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 16, 106 = 16*h - 11*h - 4*o. Find the third derivative of 7*d**2 - 8*d + 10 - 43 + h + 249*d**3 + 15 wrt d.\nAnswer: 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfefkkkfffyyfkf. Give prob of picking 1 y and 1 e.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) 2\/7 (c) 59 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.371115 to 3 dps.\nAnswer: 2.371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191620*g**2*q - 37*g*q + 9 wrt g?\nAnswer: -383240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2444, -9943, -22448, -39959, -62476?\n\"Answer: -2503*a**2 + 10*a + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/2)*r\/(r*r\/r**(-2\/27)*r*r*r)*r\/r**(-4\/9)*r\/(r\/(r*r*r*(r*r**5)\/r)) assuming r is positive.\nAnswer: r**(263\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 446592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (276 - 1\/1) + 0. Calculate the greatest common divisor of r and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 66a4593 + -3?\nAnswer: 66a4590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 times -21\nAnswer: -65.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 51\/(-12) - (-3)\/12. Let z(w) = -w**3 - 3*w**2 + 2*w - 4. List the prime factors of z(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*-19\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (0 - (-3 - 1)). Suppose t*f = 3 - 11. Let j(d) = -5*d. Let p be j(-1). Sort p, 1, f in ascending order.\nAnswer: f, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**5\/7 - 4*s**4 + 85*s**3\/7 + 232*s**2 = 0?\nAnswer: -29, -7, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5783560591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 4)*(2 - 2 - k) - 20631 - 2207*k + 20631 - k - k + k.\nAnswer: -2213*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -10 + -15 + 1 - -17.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51126393 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -158965, -158963, -158961, -158959?\n\"Answer: 2*a - 158967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**13\/z)\/(z\/(z*(z**(-15)*z)\/z*z)*z))\/(z*z*z*z**14*z*z**(-2\/35)\/z*z) assuming z is positive.\nAnswer: z**(-733\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*h - 41, 5*w + 32 = -2*h - 17. Let p be 6\/33 + h\/66. Solve 4*j = -16, p*g + 2*g - 5*j = 24 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from kykkkkkkkyykkkkv.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15615326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (39100\/(-10557))\/((-2)\/(-3)) + (-4)\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.139 in 4\/9, 0.09, 424, -5, 1\/4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 12 = 2*o, o + 2*t = 2*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759?\nAnswer: 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*b - 9, 5*b - f + 2*f - 9 = 0. What is the units digit of (15\/(-30))\/(b\/(-20))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/58860 and -127\/7710.\nAnswer: 15127020","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13534564.\nAnswer: 2, 149, 22709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1100) + 0) - (4*sqrt(132)*3 - sqrt(132))\/sqrt(12).\nAnswer: 29*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 + 11*g)*(-g - 4 + 4)*(0 - 5 + 6) to the form c*g**2 + j*g + x and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, -6, 2\/9, 612, -4\/7, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (1 - 11\/1). Let q = p + -14. Put -1, -3, q in descending order.\nAnswer: -1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -702532388.\nAnswer: -702532388.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(450\/12))\/(10\/(-30))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p + 1225 - 110 + 820 = 0 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/7)\/a*a)\/a)\/a*a*a\/(a\/(a\/a**(5\/8))))**30\/(((a\/(a\/a**(-5)))\/a)\/(a\/(a**(-8)\/a))*(a\/(a\/(a*a**(1\/3))))\/(a**(5\/3)\/a)) assuming a is positive.\nAnswer: a**(-1007\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*b + 7744 + 11644 = 23088 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 27*s - 3*s**2 + 27*s)*(3*s + 4*s - 5*s)*(3*s + 2*s - 7*s) as w*s + x*s**4 + f*s**3 + p*s**2 + k and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 724*c**2 + 83 - 725*c**2 - 766*c**2 + 2216*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.6 - 10.6. Put 5, -0.02, p, -1 in decreasing order.\nAnswer: 5, -0.02, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1 - (460\/(-30) + 196\/(-42)). Solve 32*l = z*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197028 divided by -842?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 346730 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**3 - 9433*w + 3 + 18864*w + 2*w**3 - 2*w**3 - 9417*w to the form b*w + z + n*w**3 + s*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55\/6, -0.012, 0.03 in decreasing order.\nAnswer: 0.03, -0.012, -55\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 9*j - 14. Determine y(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81328146 to the nearest integer?\nAnswer: 9018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*h + 40 = 0, 2*k + k + 183 = -3*h. Put k, 5, -15 in descending order.\nAnswer: 5, -15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqpu when four letters picked without replacement from {p: 2, u: 1, q: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4721 = -5*k - 2*l + 1783, -2*k - 2*l = -2598. Is k a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -0.9. Let i be 0 - (-55)\/(2 + -3). Let d be (-16)\/i - 1\/5. What is the second biggest value in 1\/5, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Suppose 6*p + 12 = p - d*h, -4*h - 12 = -2*p. Suppose -2*o + p*o = -28. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**10*s))\/(s**(-20)\/s) assuming s is positive.\nAnswer: s**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8645192939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*q - 4*q - q + q - 4*q**4 wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 10:55 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12135 - 0.07865. What is the closest to 0.2 in -3.8, i, -0.7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 441137 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 6*r**2 + 8*r - 6. Let s(u) = 3*u**3 + 7*u**2 - 9*u + 7. Calculate 7*f(x) + 6*s(x).\nAnswer: 4*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) -2\/13 (c) 1\/224\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1595, -3220, -4861, -6512, -8167, -9820, -11465?\nAnswer: -13096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 156 = -2*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*h = -2*k + 11, k - 3*h + 5 = 0. Sort -3\/2, -42, k.\nAnswer: -42, -3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*d = -1757 + 446 - 705 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5207661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149\/96 - 7\/32. Let p be 1\/5 - (-1289)\/15. Let w = p - 86. What is the closest to 0.1 in 2\/5, j, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4831922017\/5375139 - -66\/162883. Let q = m + -899. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304 - 0.22\nAnswer: 303.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let c(m) be the third derivative of 0*m**3 + 4*m**2 + 0*m + 1\/12*m**4 + 0. Calculate c(l(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1209 and 2074555743?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 = 14*i - 1363. What is i rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a. Let c(j) = -7*j**2 + 3*j. What is l(c(x))?\nAnswer: 42*x**2 - 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -7. Let p be 1\/(-4) + 95\/220. What is the closest to j in p, 0.5, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9132, -9141, -9166, -9213, -9288, -9397, -9546?\nAnswer: -9741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -3 + 1\/24*l**4 + l**2 + 1\/6*l**3 + 0*l. Let x(g) be the second derivative of n(g). Differentiate x(z) with respect to z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3824 - -11602. List the prime factors of o.\nAnswer: 2, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 5*y**2 + 4*y + 1. Let w be g(-4). Let u = 1\/10 - -3\/20. Let q = 9 - 9.3. Which is the closest to w? (a) q (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6459 is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*3\/(-12)*-10. Suppose z - 26 = -2. Suppose -k = -31 - z. What is the greatest common divisor of k and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 2}. Give prob of sequence ee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**2 + 533*n - 533*n.\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**2. Let n(q) = -126*q**2 - 3866778 + 3866778. Determine u(n(z)).\nAnswer: -95256*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 25*l + 73 + 30*l - 149.\nAnswer: 5*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -310*i + 2161. What is r(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-70)*1*10\/3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96293*-1.\nAnswer: -96293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/550350 and 103\/450.\nAnswer: 550350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 1 = -5*f, 49*w - 46*w + 23 = -f for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6014 - -53896. Suppose 56648 + x = 10*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-21)\/(-3)) - (-26)\/(-2340)*555.\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = -52. Suppose s*r - 1633 = 15*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*(-21)\/(-21)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 237, 234, 235, 240, 249?\n\"Answer: 2*r**2 - 9*r + 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349976601 + 9*b - 349976601.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-5) - (1 + 0). Let h = 14503.5 - 14503. Suppose 0 = -0*v - 4*v + 12. Which is the closest to -2\/7? (a) v (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14935724 and 10676?\nAnswer: 14935724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 3*n**2 - n + 13. What is the units digit of d(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52186613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -3 (c) -2\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*j + 4 = 0, -46 = 4*b + 6*j - 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 1.8. Let s = i - 0.4. Which is the second smallest value? (a) -5 (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57890 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:10 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -14.22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a centimeter in millimeters?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 17 = -2*f, 3*f - 3 = 5*u - 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = 0, -w + 5*h + 4 - 26 = 0. Determine g, given that 0*g**3 + 9*g + 2*g**w - g**3 - 4 - 6*g**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 4 (c) -0.4 (d) -488.7 (e) 2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 14*j = -28 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 160*w - 304. Let z be v(82). Suppose -2*x + 9 = -o, -5*x + 5*o = 4 - 19. What is the highest common factor of x and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10094 and 4221661?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjzjjjzjjjjzjjjjjj. Give prob of picking 2 j.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 828.0252ml in litres?\nAnswer: 0.8280252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-35)*t*t*t\/(t\/(t\/(t\/(t**(-5\/9)\/t))*t))*(t**31)**(-31) assuming t is positive.\nAnswer: t**(-8942\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -186 - 148 + 7*z - 15. Let b be g(49). Let f(o) = -3*o + 7. Let l(r) = -5*r + 10. Let s(t) = -8*f(t) + 5*l(t). What is s(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1060 = s, 4*s - 6*s = g + 258. Let b = -256 - g. Solve -b*f + 32 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 11*a + 8*a + 22 = 0, -17*r + 15*r = -2*a - 0*a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 divided by 1.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 16.5. Let u = 0.5 - n. Let w = -193.8 - -190.8. What is the smallest value in u, 3\/2, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -613, -650, -687, -724, -761?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**3 - 2*w + 2. Let x(f) = 26*f**3 - f**2 + 12*f - 11. Calculate -11*a(r) - 2*x(r).\nAnswer: 3*r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -43.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*l + 3786719 + 2653291, -8050020 = -5*l - 4*q. Round l to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from xoxxa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 124267.5 nanoseconds?\nAnswer: 0.00000000143828125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2032 = -4*v, -853 = -5*v - 2*g + 1694. Let n = 132 + v. What are the prime factors of n?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) 2 (c) -3\/1415 (d) 38\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s - 382 = 65 - 17 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 625190219 to the power of 1\/3, to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-30))\/((-2)\/72))\/(12708\/95310).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -10044.\nAnswer: -1\/2511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3883\/4 + 971. Let h be 1*-1 + (0 - -1). Suppose 3*n - 3 = -h. Is v bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4*u = -9, -5*o + 3*u - 24 = -68 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10137, -4170, 1793, 7752, 13707?\n\"Answer: -2*s**2 + 5973*s - 16108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 1397*n = -1394*n + 18, -2*n = 2*c + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1*x)**(-22)*(x**(2\/3))**2 assuming x is positive.\nAnswer: x**(-128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Let p = 2 + k. Let r = p + -7. What is the smallest value in -2, -0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-9) - (-238)\/18. Let k = 5 - 12. Let s = -5 - k. Solve 0 = 3*d + 3*q - 7*q + 31, -p = d - s*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(-4 + sqrt(1053) - sqrt(1053)) + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.273073 rounded to 3 decimal places?\nAnswer: 0.273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**2 + 2*y - 1. Let p be n(1). Suppose -5 = -p*w + 7. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0501895 rounded to four dps?\nAnswer: 0.0502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8245 - 1807. List the prime factors of m.\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = r + 1. Solve 0 = 2*j - r*j + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -17*v**2 + 3. Let n(c) = 17*c. What is n(i(b))?\nAnswer: -289*b**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2\/5, 3, 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 19 - 44. Let y = -16 + o. What is the tens digit of y + -1 + 0 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) - (4*sqrt(270) - sqrt(270))*4)\/(sqrt(40)\/(1*sqrt(4))))**2.\nAnswer: 3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 8*r + 6. Let l(z) = z**2 + 7*z + 5. Let d(p) = -7*l(p) + 6*v(p). Determine d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -117 + 114.5. What is the closest to 2\/7 in -0.1, -0.2, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3 (b) -54 (c) -2 (d) 0.5 (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/28)\/(g*(g\/(g\/((g\/g**(-1\/7))\/g)))\/g)*(g**14*g)**(-34) assuming g is positive.\nAnswer: g**(-14283\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8826237?\nAnswer: 3, 7, 29, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*f - 14 = 20, 4 = -4*f. Let r(o) = o**3 - 9*o**2 + 18*o - 4. Let n be r(2). Solve -c + w = -n*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7678 and 166578049.\nAnswer: 3839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -23. Suppose -3*o = 3*d + 9, -n*o + 4*d - 14 = 2*d. Sort o, -13, 2 in increasing order.\nAnswer: -13, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10393094 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -52 (b) 0.7 (c) -1\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608 and 42770912.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2840, -3517, -5384, -9035, -15064, -24065, -36632?\nAnswer: -53359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -104, -338, -804, -1580, -2744, -4374, -6548?\n\"Answer: -13*o**3 + o**2 + 8*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 435 = -5*z. What is the lowest common multiple of z\/(-30) - (-1)\/6 and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 703452 and 30776025.\nAnswer: 123104100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.7 + 20.7. Let x = 14 - s. Which is the nearest to -2\/7? (a) x (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-250*t + 250*t + 18*t**2)*(2*t**3 - 3*t**3 - 2*t**3) + 0 - 2*t**5 + 0 + (-2*t + 6*t - 3*t)*(t**4 + 2*t**2 - 2*t**2) - 4*t**5 - 2*t**5 + 2*t**5.\nAnswer: -59*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 179 + 1193. Suppose -m - o + 856 = 0, 4*m - 2044 - i = -2*o. Suppose 0 = 4*y - 8*y + m. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2038 and -2.\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 11*o**2 + 2*o + 18. Give a(-12).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3565*w - 700. Is u(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 4, d: 2, o: 5, j: 8}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 8*u + 8. What are the prime factors of d(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0533294, 2, -2.\nAnswer: -2, -0.0533294, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0*s**2 + 7\/6*s**3 + 1\/6*s**4 - 17*s + 0. Let l(a) = -2*a**2. Determine l(u(x)).\nAnswer: -8*x**4 - 56*x**3 - 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5489, 21671, 48649, 86429, 135017, 194419?\nAnswer: 264641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141 - 55. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2 + sqrt(27))**2 + -2 + (sqrt(189)*3 - sqrt(189))\/sqrt(7)).\nAnswer: 145 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 57 - 51, -2*s + t + 1547 = 0. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6705 times 11.67\nAnswer: -78247.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:51 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 - -142. Let c = d + -60. Let b = -13 + 13. What is the closest to b in 2, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 35417699.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 + 16 = 0. Let z be 1468 + (g + -2 - -2). Suppose 12*n = 17*n - z. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 71 - (5101 - 5128).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.56745 - -2.64. What is b rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16*((-2)\/(-6))\/(8\/(-24)). Let v = 65 + l. Let j = -43 + v. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42794 (base 12) to base 4\nAnswer: -111113200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 240974571*g**3 + 143271536*g.\nAnswer: 1445847426*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 23 = 13. Suppose -u + i = 0, 2*u - 4*i + j = i. Let w(l) = 8 - 3*l**2 + 4*l**2 - 10 + u*l. Calculate w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 44. Suppose 5*j + 7 = r. Let x(z) be the second derivative of -z**3\/3 + z**2\/2 + 23*z. Give x(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (0 + -20 - (-164 + 178))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502364765.\nAnswer: 5, 7, 31, 139, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 8*l**2 - 3*l - 8. Suppose w - 5*d = 17, 2*w - 5*d - 5 = 4. Let r be o(w). Solve 3*z + x - 10 = 0, -2*z - 2*x = -5*z + r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1903853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/(-14))\/(-4))\/(-10 + 780\/70)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 9*g**2 + 6*g + 7. Give f(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.733879 + -13.721. Round w to four dps.\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 13144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:14 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47398 = -20*r + 7*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1080 and 160.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3140 - 18719\/6. What is the common denominator of u and 250\/(-24) - (-4)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16088106, -16088109, -16088112?\n\"Answer: -3*b - 16088103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 2, r: 5, y: 4, o: 4}. Give prob of picking 1 e and 1 m.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 816, 1280, 2064, 3174, 4616, 6396, 8520, 10994?\n\"Answer: m**3 + 154*m**2 - 5*m + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-252)*(-6)\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) + 220\/308. Let g be (-62)\/(-279) - (0\/m)\/(-1). Put 20, 1\/6, g, -2\/7 in increasing order.\nAnswer: -2\/7, 1\/6, g, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 12*c**2 + 51*c**2 - 7 + 7.\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 4. Let s = -10 + 9. Let v(c) = -c - 1. Determine s*l(d) - 3*v(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111690 and 1428?\nAnswer: 1563660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -92? (a) 3 (b) 1 (c) 1221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 6*o - 6. Let j(y) = -y**2 - 7*y + 7. Let g = -7 + 1. Let d(n) = g*q(n) - 5*j(n). Let w(u) = u**2 - u + 1. Determine d(t) - w(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 47*m**2 - 2*m + 88. Let n be d(47). Suppose -4*w + 2 = -2*b + 6, b - 2 = 5*w. Sort 6\/7, n, b.\nAnswer: n, 6\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 9) in base 4?\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/2)\/y*(y\/(((y**(-26)*y*y)\/y)\/y))\/y*y*y\/y**21*y*y\/(y\/y**(-14)))**(-14) assuming y is positive.\nAnswer: y**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u + 2. Let c be i(1). Let y(j) = -j**3 + 9*j**2 - 3*j - 5. Calculate the remainder when y(c) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19736705935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12494*v + 11821*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -99613, -99585, -99559, -99535?\n\"Answer: -d**2 + 31*d - 99643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 9*c - 3*c. Solve 5*h + 3*w + 14 = 0, 4*w + 0*w - 8 = c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 - 23605\/(-68). Let n = -347 + w. What is the smallest value in -2, -6, n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-118)\/2301).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22932 and 1260?\nAnswer: 114660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*q**3 + 112605*q**2 + 1010690.\nAnswer: 12*q**2 + 225210*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4293 in -463, -5, 5?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -167 - 318 + 1125*o**2 - 2*o - 47*o**3 - 1124*o**2 - 51 wrt o?\nAnswer: -141*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = d + 7. Let z = d - -4. Suppose 5*n = -r + 3*n + 48, 5*r - 165 = z*n. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugx when three letters picked without replacement from xuxxxguxxugugx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, -5, -3 in descending order.\nAnswer: -0.14, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3823761.\nAnswer: 3, 239, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/9 + 502*p**2\/9 - 29516*p\/9.\nAnswer: -2*p*(p - 157)*(p - 94)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 372 divide 2637108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 93680443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10948327, -43793343, -98535037, -175173409, -273708459?\nAnswer: -394140187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 210232478 to the nearest integer?\nAnswer: 14499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-6) + 66\/18. Suppose -p = 5*k + 2. Is 6 a factor of (19 - 6)*(1 - k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 226 and 74021554?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 217\/(-7) - 5. Suppose -4*y - v - 340 = -3*v, 0 = 4*y + 4*v + 328. Let d be y\/(-26) - w\/9. Is d less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 16*s**2 + 688*s - 21. Calculate o(-43).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + sqrt(153)\/sqrt(9) - ((5 + sqrt(1377))*-2)**2.\nAnswer: -5609 - 359*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = 3*j. Suppose -k - k = -4. Does j = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 1, -37 in descending order.\nAnswer: 3, 2, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 1. Let z be g(-4). Suppose s - 4*q = -q + 3, -4*s = -z*q + 6. Let c(n) = n**2 + 2*n + 4. List the prime factors of c(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*-1355*(-2)\/10 - (-91265)\/54759?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*t. Suppose t = -2*b + 4 - 0. Suppose 0 = q - 4 + b. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*24\/(-540)*27\/(-12)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 211516*a**3*l*y**4 - 13*a**3*l + 7*a**3 + a + l + o*y**3 + o wrt y?\nAnswer: 846064*a**3*l*y**3 + 3*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011011010110111101001 - 11?\nAnswer: 1011011011010110111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33674 + -5?\nAnswer: 33669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10*(6\/(-5) - 2). Let m = d + -159\/5. Factor -1\/5*j + 2\/5*j**2 - 2\/5*j**4 + 0 + m*j**3.\nAnswer: -j*(j - 1)*(j + 1)*(2*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -5 (c) -0.54 (d) -9\/2 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 0*k**2 + k**2 - k**2 - 3*k**2 + 5*k**2 + (-2*k + 4*k + 0*k)*(0*k - 3*k + 2*k) + 2 + 0*k**2 - 4 + 2*k**2 as q*k**2 + w*k + h and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.834452 or 7.68?\nAnswer: 7.68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let x(a) = -6852*a**2. Calculate s(x(k)).\nAnswer: 6852*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/(-200) - 273\/(-25). Suppose 3*k - r = 766, u*r - 8*r = -3*k + 774. Is k a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3518 - -4878.4. Round z to the nearest 10.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005764 to six dps.\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -0.1, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 + 2*l**3 - 4*l**3.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*n + 3*n - 106 = 0, 0 = -q - 5*n + 90. List the prime factors of q.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + d + 79 = -0*d, 0 = -2*j - 4*d - 46. Let i = 62 + j. Calculate the highest common divisor of i and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 4*x. Suppose -2*q + 2 = 2*p - 4*p, p = -q + 9. Let s(r) = p*r + 4*r + 3*r**2 - 3*r. Give -5*g(b) - 4*s(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1794 and 39290823?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 112\/((-2)\/1) - 4. Let c be 2\/(-6) + p\/(-18). Let s be 4*1\/(6\/c). Solve -2*x + 5*x = -s*k + 12, 0 = k - 4*x + 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1. Let v(b) = -2*b. Suppose d - 221 = -2*n, n = 2*d - 7*d + 133. Let r be (-6)\/9*n\/8. Let y be (6 - 4)\/(3*6\/r). Determine y*v(c) - 4*g(c).\nAnswer: 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3951, -7895, -11837, -15777, -19715?\n\"Answer: r**2 - 3947*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*q - 69*q = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046057916 a multiple of 919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10871, -21285, -31699, -42113, -52527, -62941?\nAnswer: -73355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3 = 7*t + 3*n, 5*t - 11 = -n. Suppose -d + t = -1. Suppose -4*s = 12, -5*s - 5715 = -d*h - 664. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.099 - 0.199. What is the nearest to 0.1 in 1\/3, g, -0.6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 18585\nAnswer: -18585.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 p when four letters picked without replacement from ppyppppyp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61011 is divided by 27624?\nAnswer: 5763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 579660508*b**3 + b**2 - 305267201*b wrt b.\nAnswer: 3477963048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, c: 5}. What is prob of sequence cpcc?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -220011101100 (base 3) to base 2\nAnswer: -1110100000111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -453. Suppose 0 = -2*t - 2*k + 498, -5*k = 3*t - 318 - w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {j: 3, q: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.7 + 193.7. Let x = c - 155.079. Let i = x - -0.0790033. Round i to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140242 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1216 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(2\/13))\/u)**10*u*u*u**8\/u*u*u\/(u\/(u*u**(-2\/23)*u*u)) assuming u is positive.\nAnswer: u**(7311\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2788 - 2788.4. What is the closest to -0.071 in g, -2, 40?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 988067\/(-70) - (-6)\/(-15). Let r = 14109 + i. What is the common denominator of r and 133\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 54857832*h**2 - 54857834*h**2 + 0*h + 5*h - 5*h.\nAnswer: -2*h**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304546 + 304546 + 8620*r**2.\nAnswer: 8620*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 7*i - 2*i - 46 = -r + i, -33*r = -2*i - 460 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = -0*m. Suppose 4*n - 2*k = -4, -2*n + k - m = 5*k. Let y be n + (0 - (-1 - 4000)). Round y to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 103*j**3 - 3*j - 18*j**3.\nAnswer: -121*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 350*a - 573*a - 5 + 526*a.\nAnswer: 303*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3*w**2 + 2*t**3 + 9*t**2*w + 2*t*w**3 - 55*t*w**2 - 8*w**2 - w - 1408 wrt w?\nAnswer: 2*t**3 + 12*t*w - 110*t - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6475.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w - 154. Let y be o(31). Suppose -f - 8 = -3*s, -s - 5*f + 23 = -y. Find u such that 2\/5*u**2 + 10 - s*u = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2033*o**2 - 4067*o**2 + o + 2030*o**2.\nAnswer: -4*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9189.3798 rounded to the nearest integer?\nAnswer: -9189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1152 and 351240?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15977 - 15936. Which is the nearest to -5? (a) 1 (b) 2 (c) n (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2731217390 to the nearest integer?\nAnswer: 52261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 17*x**5\/30 + 592*x**2. Let k(h) = -4*h**2 - h. Calculate a(k(r)).\nAnswer: 544*r**4 + 272*r**3 + 34*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n**2. Let t(p) = 57*p - 28*p - 25*p. Determine s(t(g)).\nAnswer: -256*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3849018 is divided by 620.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198.9856 minutes to milliseconds.\nAnswer: 11939136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = r. Let k = -262 - -264. Sort k, 5, r, 4 in increasing order.\nAnswer: r, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 569580891 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 3*d - 6. Let p(z) = -z**2 + 8*z. Let t be p(8). What is the second derivative of -3*c**d + 0*c + c + t*c**3 wrt c?\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2108 and 60928.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 2, -2, 175, -6, -0.2 in decreasing order.\nAnswer: 175, 86, 2, -0.2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -1\/966656, -4, -3 in descending order.\nAnswer: -1\/966656, -3\/8, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/7 (b) 9\/4 (c) 9\/5 (d) 38\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1082)\/18 - -6 - (-928)\/(-1044)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 60*r + 32*r + r**2 + 30*r to w + c*r**2 + p*r and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125409537 is divided by 6376.\nAnswer: 6369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57863.3082 + 57868. Let m = o - 4.75. Round m to 3 decimal places.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 4\/13, -2, -132.7?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -121479, -242962, -364445, -485928, -607411, -728894?\n\"Answer: -121483*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 8. Let o be ((-2)\/10)\/((-5)\/75). Suppose 2 + 16 = -o*f. Calculate i(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 11.\nAnswer: -1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2162040 and 10320?\nAnswer: 4324080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 504 and 1008?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15732 and 96796.\nAnswer: 380698668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*v**3 - 3*v**4 + 15*v**3)*(2 - 5 + 4) + (8*v - 8*v + v**4)*(2 + 3 + 1) as j*v + w*v**2 + o + c*v**3 + h*v**4 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1132661\/11 - -102979. Suppose -10\/11 + 50\/11*c**4 + t*c - 328\/11*c**2 + 180\/11*c**3 = 0. What is c?\nAnswer: -5, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 1\/5*q**5 + 0 + 1\/6*q**4 + 0*q**2 + q + 0*q**3. Find the third derivative of y(x) wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4552.\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*f - 83*f = -34*f - 2176. Solve -3*v - f*v - 60 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9387, 18873, 28351, 37821, 47283, 56737, 66183?\nAnswer: 75621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4741547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2*1\/2)\/(2\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108162996.\nAnswer: 2, 3, 739, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245 + 425. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2484859, -4969661, -7454463?\n\"Answer: -2484802*l - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/(8\/(1184\/(-37)))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 + -3732042?\nAnswer: -3732102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24667 or -24669?\nAnswer: -24667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 119*169\/(-52052) + 5\/(-4)?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178.3 - 240. Let i = 62 + n. Which is the nearest to 2? (a) i (b) -4\/9 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -625, -1 in ascending order.\nAnswer: -625, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 829.151 microseconds to seconds.\nAnswer: 0.000829151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0 - -3) + (-5 + 22 + 25 - 23)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 - 57 = 4*m + y, 5*m + 5*y - 415 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 b when three letters picked without replacement from {v: 7, b: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90\/77 - -6779\/1386. What is the common denominator of d and 97\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*sqrt(65)*-4)\/((sqrt(35) - (sqrt(105)*2)\/sqrt(3))\/sqrt(7))*4.\nAnswer: 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 35 = -3*f, 18*f = 20*f - x - 30. Let d(p) = 2*p**2 - 6*p - 4. What is the remainder when d(8) is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*h**2 - 6*h + 230?\nAnswer: -10*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21379 * 396\nAnswer: -8466084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38089 divided by 22843.\nAnswer: -38089\/22843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, -3\/7, -5, -57?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/189 and -109\/2016?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -343 - 331 - 335 - 3559*f**4 - 33*f + 1023 wrt f?\nAnswer: -42708*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2. Let w(y) = -y + 2. Let v be w(-2). Let k(p) = 2*p - 4. Let o(j) = j - 3. Let c(h) = v*o(h) - 3*k(h). Calculate c(l(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37801405*l**5 + l**3 - 373*l - 157513.\nAnswer: -756028100*l**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 23\/(-2) + 5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 4*j + 2. Let t be q(-3). Let p be (t - 2*10) + 0. What is the remainder when 27 is divided by 4\/(-18)*p*3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjrjrprjrjjjjjrrrrj. What is prob of sequence jrj?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**6 - 10*p**4*z**3 + p**2*z**3 + 888*z wrt p?\nAnswer: -240*p**3 - 240*p*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 51*w + 437. Determine y(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 0) + (2 - 2). Suppose 2*j = -3 - 5. Let p be 2\/(-3) - 224\/(-462). Which is the closest to -1? (a) k (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9242941021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - (-8 + 5)\/((-9)\/(-366))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f - 12. Let a(c) = 11*c + 23. Let u(q) = -3*a(q) - 5*b(q). Calculate the smallest common multiple of u(-9) and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1355, -1, 4, 0 in descending order.\nAnswer: 4, 0, -1, -3, -1355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 9*j - 25*j - j + 0 + 0 - 6*j + 0*j + 3*j + (-2 + 1 + 0)*(3*j + 4*j + 0*j) as f + h*j and give h.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**6\/2 + 2*c**5\/15 + 5*c**4\/2 - 4*c**3\/3 - 15*c**2. Factor i(g).\nAnswer: -4*(g - 1)*(g + 1)*(15*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuu when three letters picked without replacement from ukuqqkunuk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*((-70)\/(-21))\/(-10). Does 12 divide 126\/(-28)*(-12 - i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**7\/210 - k**3\/3 + 3*k**2 - 4. Let r(p) be the second derivative of n(p). What is the first derivative of r(j) wrt j?\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**5\/60 - 17*b**4\/24 - 31*b**3\/6 - 159*b**2. Let s be a(-3). Solve -s = 9*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99526 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 25 + (-29 - (-12 - -20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-36)\/63)\/((-50)\/(-35)))\/(3\/15). Let c(n) = -15*n**2 - 3*n - 1. Calculate c(d).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7576\/5 - (176\/330 - 4\/12) is divided by 44.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000164362 rounded to 7 decimal places?\nAnswer: -0.0000164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4996*-0.1\nAnswer: -499.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 13*i**2 + 17*i - 30. Is h(12) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24134822.03 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/4593 and 151\/7290.\nAnswer: 11160990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1336 = 6*l + 1324 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78 or 5?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14\/(-54))\/(3\/(-18)) and (-105)\/(-105) - 391\/572*2?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1)**(-8)\/(a**(1\/2)*a**(-8)) assuming a is positive.\nAnswer: a**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r**4\/7 - 120*r**3\/7 + 94*r**2\/7 + 120*r\/7 - 72\/7 = 0 for r.\nAnswer: -6, -1, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1216 - 630 - 328*q**2 - 586.\nAnswer: -328*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1720 and 163728090.\nAnswer: 654912360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - 2022?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 10107.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-106)\/12)\/(5\/(-2811)). Let f = 4959 - m. Find the common denominator of f and (-2)\/(-15) + 7\/((-3465)\/671).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((63\/20)\/((-156)\/104))\/(6\/(-10)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i + 0 - 6*i + 75*i**2 - 68*i**2 - i**3 + 3. Let n be c(6). Suppose -12*l - n = -171. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913336091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.7, -5\/6, 4, -1\/1530?\nAnswer: -1\/1530","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c6 + d12?\nAnswer: dd8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1590 + 1599. Let i be (5\/(-20))\/(t\/(-24)). Factor 4\/3*g**2 - 4\/3 + i*g - 2\/3*g**3.\nAnswer: -2*(g - 2)*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.13 (b) 1093 (c) 5 (d) 24 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5607.192 tonnes?\nAnswer: 5607192000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k + 27. Let n be a(-12). Let v = -58 - n. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -19267310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 20*o + 27. Let m be a(11). Solve -3*t = 15, 0 = -2*c - 4*t - 29 + m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 14, 36, 58, 80, 102?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 199, 197, 195?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 + 2*u + 7. Let o(s) = -s. Let p(k) = -b(k) - 4*o(k). What are the prime factors of p(5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -11. Suppose -5*i = -o*i + 3. Suppose -i*r - 1 + 7 = 0. Solve 9 = -r*u - u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 39\/12 - (-2)\/(-8). Suppose 2 = -2*d + 6. Let x(r) = r - 3*r + d + 5*r - r**2. Calculate x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/((-2)\/(-100)). Let i be 5\/6*3*30\/t. Suppose -s + 176 = i*s. What is the highest common divisor of 88 and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*x + 17*x + 22*x + 1 + 6*x**2.\nAnswer: 6*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Suppose z*u - 4*u + 6 = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.65.\nAnswer: 0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -49*n - 6. Let o be d(-4). Suppose 0 = -5*g - k + o, 2*k = 4*g - 0*k - 138. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (941331\/(-12))\/((-845)\/52 + 16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*t + 4410*t**2 + 3*t + 183*t + 5043 - 4407*t**2.\nAnswer: 3*(t + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 386 or 423?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 104*n**2 - 2*n**3 - 5*n**3 - 3*n**3 + 16*n**3 - n**3 as g*n + l*n**2 + m*n**3 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 108928928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (10 + (-7 - -6) + 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13 - 12\/2) + -4. Let z(k) be the third derivative of -1\/3*k**3 + 0 + 1\/12*k**4 + 1\/60*k**5 - k**2 + 0*k. What is z(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 14*h**5\/5 + h**2 - 48. What is the second derivative of m(d) wrt d?\nAnswer: 168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00160951259 rounded to 7 dps?\nAnswer: 0.0016095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -395d (base 14) in base 7?\nAnswer: -41246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-210)*3 - 325\/(-70). Factor g + 3*w + 1\/2*w**2.\nAnswer: (w + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -3\/4, 5\/3, -85?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -5, -184.5, -0.017?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*z**3 + 422*z**3 - 1269*z**3 + 427*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 8:28 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 44. Suppose 0*q - 2*q = y - 200, -5*q = j*y - 505. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40\/(-8))\/(-5))\/((-1)\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 8*k**2 - 27*k + 19. Let o(z) = 4*z**2 - 14*z + 10. Let i(j) = -2*b(j) + 5*o(j). Find t such that i(t) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p - 29. Let y be f(-5). Solve 0 = -3*n + v + 5, 3*n = 5*n + 2*v - y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, r: 10}. Give prob of sequence vv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, and 2 i when four letters picked without replacement from illlppiiplpippl.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**1)**(9\/7)*a**(2\/11)\/a*a*a\/(a*a**(3\/10)))**(1\/8))**(-3\/4) assuming a is positive.\nAnswer: a**(-5667\/24640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*t**3 + 19722*t - 19722*t.\nAnswer: 45*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f + f**2 - 24 + 0*f**2 - 23 + 50. Give x(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9132170 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bf + 4cc?\nAnswer: 58b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 + 2*i**2 - 2*i - 1. Determine y(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3501, -27960, -94345, -223620, -436749?\nAnswer: -754696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*19\/((-19)\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 23349489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -13, -1\/2, 1\/2, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 6*u + 28. Give t(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 2 = -12*s - v, -5*s + 11 = -2*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -9. Let c be -5*((-57)\/(-2090))\/((-1)\/(-4)). What is the closest to 1 in z, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -1, -10 in descending order.\nAnswer: -1, -10, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 12*f**2 - f - 2. Give h(4).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - 10*s**3 - 5*s**3 - s**3 + 3*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9 + (6\/15*5)\/2. Let g(w) = -4*w. Let c be g(-1). Suppose 2*l - l = c. What is the greatest common divisor of l and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 9. Suppose 18*g + 8 = 20*g. Suppose 16 = u + 2*s, 3*u - g*s = -0*s + d. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v**2 - 132*v + 1604. Give w(11).\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 11*o**2 + 8*o - 3. Suppose 4*p = -z, 2*p + z = -0*p - 2. Let x be 9\/(-3) - (-14)\/p. What is the units digit of b(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2 + (-3 + 1 + 1)*(0 + 0 + 1) - 247 - 226 + 140)*(4*x**4 - 4*x**4 - 2*x**4).\nAnswer: 670*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 654, 1379, 2234, 3285, 4598, 6239, 8274?\nAnswer: 10769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - (-2 + 1) - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2859?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*c + 104 = 0, -4*c - 22 + 94 = 4*v. Let p(s) = -11*s**2 - 98*s - 77. Let m be p(-7). Calculate the greatest common divisor of v and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -266, -393?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20453 (base 6) to base 3.\nAnswer: -10210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -4, -2\/19, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**6*h)\/h**(-7)*h**1\/((h\/(h*h\/(h\/(h**(-2)*h))))\/h))**14 assuming h is positive.\nAnswer: h**238","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 17 + 11*d**2 + 19*d**3 + 28*d**3 + 26*d**3 - 75*d**3. Let n be c(5). Solve -k = n*m - 9, m = -k + 1 + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491*m**3 - 648*m**3 - m**2 + m**2 - 680*m**3.\nAnswer: -837*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -22.999861. Round c to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/6)\/x**(-9) assuming x is positive.\nAnswer: x**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-380)\/1710 - (-74)\/9. Solve 87*y = 85*y - s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3136*w**3 - 561*w**2 + 3.\nAnswer: -18816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*9\/(-18)*2\/2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f. Solve -5*u - 12 + 2 = f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in -0.5, -0.054, 2120, -5?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 9 = 4*z - 5*a, 4*z - a + 17 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -54*m + 40 + 42 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 5*t**2 + 4*t - 5. Let p be ((-4)\/2 - -7) + 0. Suppose -4*g - 3 = -2*m + p, 5*g = 2*m - 12. Give y(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**2 + 6*d - 3. Let p(i) = 6*i + 17. Let c(b) = 17*o(b) - 6*p(b). Let k(z) = -4*z. Give k(c(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 - 5875*t**2\/2 + 32226337*t\/4 + 3416422053.\nAnswer: (t - 6061)**2*(t + 372)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 - 27*l - 1. Calculate p(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, t: 1, g: 3, y: 2, r: 1, b: 3}. Give prob of picking 1 t and 1 a.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -635 + -31150?\nAnswer: -32115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f + 0*f - 4*f)*((2 - 3 + 0)*(-2*f - 2*f + 0*f) + (2*f - 2*f - 3*f)*(175 + 129 - 49)) to w*f + j*f**2 + u and give j.\nAnswer: 1522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**2. Let h(v) = 20*v - 10*v - 14*v. What is j(h(o))?\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 5*z + 2*z + (-z + z - 2*z)*(-6 + 1 + 3) + 3*z + 2*z - 6*z + (0*z + 6*z - 3*z)*(-6 - 3 + 1))*(4*z**3 + 3*z**3 - z**3).\nAnswer: -96*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -117, -180, -199, -180, -129, -52, 45?\n\"Answer: -l**3 + 28*l**2 - 140*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155 or 179?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/40*-2)\/(1\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = -3*k + 9*s - 4*s, -4*k - 440 = -4*s. Let y = 337 + k. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p**2 - 21*p + 394. What is d(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 + 18221 - 10*n**3 + 44078 + 17*n**3 + 3*n.\nAnswer: -2*n**3 + 3*n + 62299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14093765?\nAnswer: 5, 7, 17, 23687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) 10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 - 3*j**4 + 4*j**4 + (3*j**4 - 2 + 2)*(2 - 4 + 1) - 1 + 21*j**4 + 17*j - 17*j.\nAnswer: 20*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 7\/12*v**4 + 1\/6*v**3 - 1\/20*v**5 + 0 + 3*v**2 - 6*v. Is g(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -229*k - 9. Is o(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 2)*(54*f**2 - 97*f**2 + f**3 + 47*f**2) to the form k*f**3 + o*f + y*f**2 + h and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*v - 376 - 163 - 190 = 0 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15772 (b) -0.2 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6521 * -0.2.\nAnswer: 0.13042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 3*b - 4*b)*(b**2 + 1 - 1) - 3*b**3 + 18*b**2 - b**2 + b**3 in the form i*b + p*b**2 + f + v*b**3 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + sqrt(84)*2)*5 - (sqrt(84) - 2*sqrt(84))*-2)\/((sqrt(96)*-1*-2)\/sqrt(8)).\nAnswer: 13*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*(3 + 2 + sqrt(300)) + 2)*-4)**2.\nAnswer: 8480*sqrt(3) + 22009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5510\/3857)\/(15\/(-441))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 436667106 and 1113.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 44664158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 29*a. Let l(k) = -k - 3*k - 6*k + 0*k. Give l(h(i)).\nAnswer: -290*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 738 in -3, 4.9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 35. What is the tens digit of (-7)\/k - 58\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22194408.\nAnswer: 2, 3, 139, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g = 14*g - 12*g - 252. Let h(w) = -w**3 + 9*w**2 - 17*w + 8. Let y be h(6). Which is greater: y or g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-56)*7*((-7920)\/27)\/(-20)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 788 * 0.5.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 70, 33, 2, -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (2 - -23) + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*s**2*x**3 - 2379*s**2*x + 7*s**2 - 14*s*x**2 - 189617*x**2 - 6194*x - 1 wrt x?\nAnswer: -108*s**2*x - 28*s - 379234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o - 7 + 0*o + 6)*(-325*o**2 + 434*o**2 - 193*o**2 + (-2*o + 0*o + 0*o)*(-o - o + 3*o) + 2*o**2 + 3*o**2 - 6*o**2 + 2*o**2 - 6*o**2 + 2*o**2).\nAnswer: -712*o**3 + 89*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-42))\/((2585\/47)\/(-385))*-21?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 17. What is the remainder when 52 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/111 and 11\/20905.\nAnswer: 62715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1 + 7.8. Let t = z + -12.7. Let g = -7.5 - t. Which is the second smallest value? (a) -1 (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 - 162.666. What is m rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from vvvnbnbvvb.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.22973 + 0.32973. Which is the nearest to g? (a) 297 (b) -0.4 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 826.7789 decades in centuries?\nAnswer: 82.67789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/2*1*16. Let d(u) = -u**3 - 4*u**2 - 3*u. Let p be d(-3). Suppose p = -g - 0*g + 4. What is the greatest common divisor of g and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2\/117, -4\/7, 1\/12, 7\/12 in ascending order.\nAnswer: -4\/7, 2\/117, 1\/12, 1\/2, 7\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4361 greater than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -444044 (base 7) to base 3\nAnswer: -10222022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.619 * 0.07.\nAnswer: 0.04333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 15, z: 5}. What is prob of picking 2 z and 1 t?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 29860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = -5*x, 2*q - 2 + 4 = -3*x. Let y(d) = 6*d**3 - 3*d**2 + 5*d - 4. Let u be y(q). Let b = u - 53. Which is greater: -8 or b?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59991.88 litres to millilitres.\nAnswer: 59991880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 2*c + 2*c. Let u(f) = 2*f**3 - 5*f**2 - 3*f + 11. Let k be u(4). Let o = -51 + k. Let w(m) = 6*m. Determine o*w(p) + 5*b(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, -5, -4, -21, -1.\nAnswer: -117, -21, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-25)\/(-310)*12\/30.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 - 2*h**2 + 7*h + 10. What are the prime factors of d(-6)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-16 - 2) - -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*b + 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4143673.88395772 - 1034766.2160434. Let b = q + 5178538.1. Let u = b - 98. What is u rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -4*a**3\/3 - a**2 + 6*a + 24. Factor n(d).\nAnswer: -2*(d - 1)*(2*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5069 by 77.\nAnswer: -5069\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -17*y - 406. Let m(g) = -27*g - 609. Calculate -8*d(z) + 5*m(z).\nAnswer: z + 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 240167 or 240163?\nAnswer: 240167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkzz when four letters picked without replacement from {p: 5, l: 1, o: 5, k: 1, z: 4}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 127026041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 673*w - 1246 + 679*w - 1353*w + (0 - 3 + 4)*(2*w - 3*w + 3*w).\nAnswer: w - 1246","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 8*r + 867. Which is greater: -48 or r?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134\/9 greater than -5\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 - 1.89. What is the second biggest value in g, 0.5, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3133266.\nAnswer: 2, 3, 522211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-15))\/((-4)\/(-6)). Suppose -5*g + 9 + b = 0. Let i(v) = 4*v**2 - 5*v**2 + 2*v**g + 0*v**2. Let a(w) = -3*w. Calculate i(a(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(2057) - (sqrt(2057) + (sqrt(2057)*-3 - sqrt(2057))) - sqrt(2057)) + 2 - 4*sqrt(2057)*-5)*3 + -3)**2 + -4)*3.\nAnswer: 13662*sqrt(17) + 29380146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of (-3410)\/(-20)*28 + 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15689637 is divided by 178291.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113585 or -112830?\nAnswer: -113585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**5\/20 + 9*h**4\/4 + 23*h**3\/6 - 75*h**2\/2 + 109*h + 2. Is t(-26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 - 3*s + 4*s**2 + 3*s. Let g(t) be the first derivative of 10*t**3\/3 + 3. What is g(i(o))?\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20928610 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 9. Let g be r(6). Let y be (-2 - g) + -2 + 4. Let j(i) = 2*i**2 - 5. Let m(o) = o**2 - 4. Determine y*j(t) - 4*m(t).\nAnswer: 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**4 - 7*z**3\/6 + 77*z. Let s(x) = 6*x**2 + 4*x. Determine 4*a(n) + 7*s(n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a hour?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -15*v + 3. Suppose g + 2*g + 3 = 2*m, m - 4 = 4*g. Suppose -3*w - 13 + 4 = m. List the prime factors of x(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -64 (b) -1\/8 (c) -4\/9 (d) -0.01 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10278, 20612, 30946?\n\"Answer: 10334*d - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 0 = -z. Let c(g) = g**3 + 8*g**2 + 7*g - 2. Let y be c(-7). Sort z, y, -5.\nAnswer: -5, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*j - j = -13, 5*j = -2*w + 23. Is 226\/(-1*(-1 + w)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37904140147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11604 + 11581 + (-7 - (0 + 1 + 1 + -3)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t - 2. Let n be a(2). Suppose 3*l - m - 17 = 4, 0 = 3*l + 4*m - 21. Calculate the greatest common divisor of l and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 852 and 269.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3*(sqrt(192) + 0 + 1) + 2)*2)**2.\nAnswer: 960*sqrt(3) + 7012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1100 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (312\/(-1326))\/(-5*(-8)\/60)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1174 (base 15) to base 4\nAnswer: -321331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*u - 4. Let k(o) = -4*o**2 - 2*o + 0*o + 5*o + 6*o**u - 1. Let w = -820 + 817. Determine k(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 1, a: 2, p: 1, s: 2, b: 2}. What is prob of sequence ao?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.57 - 61.43. Let j = k - -58.9. Let v = j - -3. Which is the biggest value? (a) v (b) -2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -230 (base 4) to base 10\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 + -0.13. Let a = i + -0.010005. What is a rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*m + 492*m - 980*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109.7439km to meters.\nAnswer: 109743.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1329311.\nAnswer: 31, 137, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -18, -69, -160, -303, -510, -793?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*z + 2 = 20, f + 3 = -4*z. Suppose 28 = 2*g + 5*p, -3*p - 56 = -g - 3*g. Let r = f + g. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 392, 895, 1610, 2543, 3700, 5087?\nAnswer: 6710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i + i**3 + 3*i**2 - 6011 + 6011 - i**4 + 5*i**4 in the form d + n*i**3 + o*i**2 + y*i**4 + w*i and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 39, 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + -1)*31\/2. Let o be 1456\/24 - ((-32)\/(-112))\/((-6)\/(-14)). Let u = x - o. Solve 5*d = 3*j + 28 - u, d - 5*j - 14 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/((b*(b\/b**13)\/b)\/b))\/b)\/b**14)\/(b**(-29)*b**(1\/30)))**(-2\/29) assuming b is positive.\nAnswer: b**(-839\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 14*n + 2. Let l be t(20). Let p = 44 + 383. Calculate the greatest common factor of l and p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-40)*30\/(-18). Let w = 20194\/5 + -4039. Sort c, -3, w.\nAnswer: -3, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 3040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -2023.005262.\nAnswer: -2022.505262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 3*w**2 - 5*w - 2. Calculate m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 + o**3 + 4*o**4 + o**4 + o - 2*o**4 - o + 2*o**4 + o**4 - 5*o**4 - 2*o**4 + o**4 + 3*o**4 + (-4 + 5 - 3)*(1 + 2*o**4 - 1) + 2*o**4 - o**3 + o**3.\nAnswer: o**4 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -219*l + 226*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4167 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 5*k + 9. Let n be 2\/k + 8\/3. Solve 0 = -n*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 448\/42 + 4 + -18?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2250)\/(-500) - (-6)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39800962 is divided by 80?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 107*d + 16 - 34 + 20 as x*d + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-160)\/(-12))*(-4 + 2)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 5 - 1 - h - 1 + 1 + h + (2*h + 0 + 0)*(3 + 1 - 2) to u + v*h and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + ((-2*sqrt(1872)*-3)**2 + -4 - ((sqrt(468)*-2 + sqrt(13))**2 - (sqrt(468)*-1)**2))).\nAnswer: -265152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 17 = -49. Suppose 2*i - q = -0*i. Solve -f = f + i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 1. Suppose y - 31 + 103 = 3*o, o - 4*y = 24. Suppose 5*u - 4 = -o. What is the smallest common multiple of 9 and m(u)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/46 and -11\/10267798.\nAnswer: 10267798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14867, -29735, -44611, -59495, -74387, -89287?\n\"Answer: -4*b**2 - 14856*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9396599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a decade in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 7 + 2 + 5 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 4*a - 7. Let h = -26 - -22. Let p be w(h). Differentiate 6 + 11*i + p*i - 4 - 9*i with respect to i.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-54)\/(-4))\/(-3)*507\/(-1521))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 5*k - 27 = 0, 2*k = -6. Round z to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8\/7)\/(y\/((y**21*y)\/y)*y)*y**(-16)\/(y\/(y\/(y*y*y*y**(6\/7)*y*y*y)*y)))**(6\/11) assuming y is positive.\nAnswer: y**(-24\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 1538 = -1439 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210011 - 1010120022?\nAnswer: -1000210011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i = 0, 5*i - 60 = -5*j. Let r = 22 - j. Is r\/45 - (-842)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1152.83 millimeters?\nAnswer: 1152830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82 by -18683817.\nAnswer: 82\/18683817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/1160)\/(3\/452) and (-1138)\/336 + (-900)\/1575?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by (-4)\/3 + 19\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296184 divided by -56.\nAnswer: -5289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56731 or 56730?\nAnswer: 56731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1004300 - 33?\nAnswer: -1004333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, l: 1, a: 3, x: 10}. What is prob of sequence lx?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 12:34 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -1.3 (c) 1\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2115, 4235, 6355, 8475, 10595?\n\"Answer: 2120*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -40211 (base 5) to base 2\nAnswer: -100111111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -2561453?\nAnswer: -2561453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 43500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 179. What is the hundreds digit of z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/18405 and 61\/36810?\nAnswer: 36810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310368, -310519, -310670, -310821, -310972, -311123?\nAnswer: -311274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93063461 + -5?\nAnswer: -5.93063461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 247 - 529. Let h = 1290 + f. Suppose -21*q + h = -24*q. What is q rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05851 + -329.24149. Let j = q + 327. Which is the nearest to 1? (a) -1 (b) j (c) -0.2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1979592984 to the nearest integer?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 24. Let i = 6 - 11. What is the closest to p in i, 2\/9, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 30*i + 29*i + 11, 2*n + 3*i = -23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90445367?\nAnswer: 90445367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j - 16. Let f be (12 - (1 + j)) + -2. Let w = 14 - f. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 6}. Give prob of picking 1 k and 1 p.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 209 + -163. Suppose -s*o + 32*o = -336. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - j + 20, -l - 5*j - 23 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from dbdbdbdd?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = o - 7, 2*o = 0. Let q = 0 + -0.2. What is the smallest value in f, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1997152786 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5089208?\nAnswer: 2, 31, 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13922 or -43?\nAnswer: 13922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 3*q**4\/16 + 5*q**3\/4 + 9*q**2\/4 + 511. Factor s(f).\nAnswer: 3*f*(f + 2)*(f + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -10222.\nAnswer: 3066.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 445*z + 220*z + 222*z + 7*z**2 - 8. Let j = 24 - 0. Suppose 3*d = 4*c + 18, 0*d - j = -4*d - 4*c. Give t(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**5\/210 - 5*k**4\/84 + 4*k**3\/21 - 15*k**2\/2 + 13. Let o(a) be the second derivative of f(a). Solve o(j) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 160084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 4*r**2 + 5*r - 17. Let m be f(4). Sort 0, 2, m in descending order.\nAnswer: m, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1. Let x(u) = -3*u. Let g be x(k). Let f(y) = -4*y**2 - g + 6*y - 2*y - y**3 - 3. Give f(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -65*g - 60. What is a(4)?\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Suppose 0 = y*a + 2*a. Suppose -35 = -a*m - 5*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130223 (base 5) in base 15?\nAnswer: -1778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = 264, -170*h + 3*p - p = -165*h + 88 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 2*d - 4*d)*(-3*d + 6*d + d) + 498*d**2 + 33353*d - 33353*d + (-2*d + 0*d + 4*d)*(0*d - 3*d + d) + 2*d**2 - 2*d**2 + 2*d**2.\nAnswer: 492*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 2. Let c be (10\/(-4) + 2)*p. Let r(a) = -a**2 - 10*a + 12. Let l be r(-11). Which is smaller: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/7, -1\/57, -3 in ascending order.\nAnswer: -3, -1\/57, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 minus 86007652061764?\nAnswer: -86007652061764.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((27 + 6 - 19)*(-2 - 2*a + 2) - 6*a + 20*a - 11*a + (1 - 1 + a)*(-1 + 1 - 2))*(a - 4*a + 2*a).\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijjii. What is prob of picking 1 j and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 7*z**2 - 4*z - 31. Let x = -468 + 476. Let h be a(x). What is the third biggest value in h, -2\/15, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + ((2*sqrt(19) - sqrt(19))*-6 + 1*sqrt(171) + 0)**2.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (5 + -7)) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7098 - 51045 - 45618 = 762*o + 939*o for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/35*3920\/(-63000)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 8 = -233. Suppose -2*u = u - y. What is the least common multiple of 1 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26192, 26197, 26204, 26213, 26224, 26237, 26252?\nAnswer: 26269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:45 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqv when three letters picked without replacement from qvusssuspsqqvqs?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38178, 76364, 114550?\nAnswer: 152736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51 + -1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, t: 16}. Give prob of picking 2 t.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a gram in milligrams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48 times 634.737\nAnswer: 30467.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**3 + 5*l**2 + 7*l - 23. Determine a(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2404330003 (base 5) to base 10.\nAnswer: -5542503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, i: 4}. What is prob of picking 1 l and 3 i?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 75 and 14\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + 2 + 63 + 21\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005287 rounded to 6 decimal places?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 7*g**2 + 4*g - 9. Let o = 95 + -99. Let w be o\/(24\/(-21))*2. Is m(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 6 - 3)*(0*u + u + 0*u)*(-5 + 5 - 1) to w*u + q and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -10*t + a - 346, -2*a - 254 = 3*t. Let i be 2\/3 - 4*1103\/12. Let l = t - i. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -146, -1, 9, 0, 3, 4 in increasing order.\nAnswer: -146, -1, 0, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 574.0621297 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 3:28 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*sqrt(245))**2 - (sqrt(490) - (sqrt(490) - (sqrt(490) + sqrt(490) + sqrt(490) + -2*sqrt(490))))\/sqrt(2).\nAnswer: -2205 - 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-7) + (-15000)\/(-1050). Put r, -4, 15, -1, -3 in descending order.\nAnswer: 15, r, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-24)*-30 - 1\/(-4). Suppose t*b - 13 - 11 = 0. Let w(y) = y + 1. Let h(d) = -6. Let o(a) = -h(a) + w(a). Give o(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 71*z**2 + 5*z + 326. Determine q(-71).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158*n**3*s**3*w + 1023*n**3*w**3 - 1726*n**2*w**3 - 3*n**2 + n*s**3 wrt n?\nAnswer: 948*s**3*w + 6138*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 194331 * 0.052.\nAnswer: 10105.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18) + 47\/9. Let q = 44 + -31. Suppose 2*v = 4*x - q + 1, v = -x. Put 2, v, n in ascending order.\nAnswer: v, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - (-5 + (sqrt(1100) - (sqrt(1100) + -1))))*-3)**2 + (sqrt(11) + (sqrt(11) - sqrt(77)\/sqrt(7))*5 + -2*(-2 + sqrt(11)))**2.\nAnswer: 712*sqrt(11) + 10071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-34)\/(-30) - 1) + 611\/(-195). Let q(k) = k**3. Let c(r) = -r**2 - 5*r - 2. Let m(a) = c(a) + q(a). Determine m(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 481.648 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 20134*a - 40276.\nAnswer: 2*(a - 2)*(a + 10069)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -191658 or -191758?\nAnswer: -191658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 9*i - 12. Suppose i*g - 12 = -3*g. List the prime factors of 358\/10 + g\/10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let g(r) = -5*r + 11. Let o(m) = 5*f(m) + g(m). Suppose 2*h = 15 - 3. Suppose 0 = 2*d - 2 - h. Let j(u) = -u - 2. Determine d*o(n) + 22*j(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 5721 and -581088.\nAnswer: -575367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1772 - -2?\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10108\/95 - -3*4\/(-30). Let t = 27 - 129. Let q = p + t. Solve -q*l = -l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87161909, -174323823, -261485737, -348647651, -435809565, -522971479?\nAnswer: -610133393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*b - 42*b - 26 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven halves of a century?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 61, 201, 469, 907, 1557, 2461?\nAnswer: 3661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 198 = -2*p - p, -3*o = -5*p + 200. Let l be (3*-13)\/((-6)\/(-4)). Let b = l - o. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*w + 12, 5*w - 5*d = -4*d + 22. Suppose -w*r = 3*u + 3, 0 = -2*r + u - 5*u - 14. Solve y + l - 5 = 0, -6*y = -4*y - r*l - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 5512186.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 77952?\nAnswer: 77952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:25 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2500610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -472 (base 12) to base 6\nAnswer: -3022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 4. Let a = 18 - 6. Let s = 15 - a. Let b(h) = -h + 3. Give s*g(k) - 4*b(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2918 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {w: 1, v: 1, r: 2, l: 1, h: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1.2. What is the smallest value in 5, 1\/6, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*d + 24, -b + 3 = 2*d - d. Let w be (-6)\/4*(-28)\/b. Suppose 193*f - 212*f = -114. Is w greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 508, 921, 1332, 1741, 2148, 2553, 2956?\nAnswer: 3357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*p + 5 - 80*p + 10 + 2*p + 0 + 0 + (0 + 26 + 26)*(4 + p - 4).\nAnswer: 56*p + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2. Let r(g) be the first derivative of -14587*g**2\/2 + 11861. Calculate j(r(t)).\nAnswer: -212780569*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, p: 4, i: 1}. What is prob of sequence iaaa?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*1*sqrt(475) - sqrt(475)) + -1 + (sqrt(475) + 1)*-1*4)**2.\nAnswer: 300*sqrt(19) + 17125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1676*w - 2213*w + 4030*w + 4743*w + 1140*w in the form k + h*w and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25254 - 5?\nAnswer: 25246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 3*i + 3. Suppose -8 + 0 = -4*n. Let m be r(n). Let k(b) be the third derivative of -b**5\/30 - b**4\/12 + b**3\/6 + b**2. What is k(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (592 - 211*x - 592)*(0 + 6 - 3).\nAnswer: -633*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 858759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -42600 divided by -50?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*w - 23*w - 7 + 48 - 112 to the form j*w + q and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 399*-0.251\nAnswer: -100.149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1359528.87345 from 179.\nAnswer: -1359349.87345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/30411? (a) 3 (b) -36 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0090007 to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 2*a**2 + 0 + 0*a - 1\/30*a**5 - 2\/3*a**3 + 1\/24*a**4 - 1\/120*a**6. What is v(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**6\/240 - o**4\/16 + o**3\/6 + o**2 + 6*o. Let p(r) be the first derivative of q(r). Factor p(g).\nAnswer: (g - 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 175*g - 10. Let q(n) = -523*n + 27. Give -8*k(z) - 3*q(z).\nAnswer: 169*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 45*s**2. Let f(k) = 8358*k. Calculate f(l(t)).\nAnswer: 376110*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -174, -161, -132, -81, -2, 111?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 23 - 3. Suppose 4*s - 166 = x*f, 5*s = f - 65 + 283. Suppose 2*k - s = -9*k. Calculate the smallest common multiple of k and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:48 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*y - 3*q, 2*y = -4*q + 1 + 5. Suppose -y*p = -5 - 5. Find the second derivative of -4*s**2 + 2*s + 5*s**p - 5*s**2 wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52600832 rounded to the nearest one hundred thousand?\nAnswer: -52600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 6*z + 7. Let l be w(5). Suppose -4*v + 7 = -1. Let a(n) = -5*n**2 + 1 + 3*n**2 - v*n + 2. Determine a(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -258 + 475. What are the prime factors of c?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 26 - 3 - (3 - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1589956 is divided by 527?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**4 - 3*j**4 - 7 + 2*j**2 + j**3 + j**4 + j + 4 to the form a + o*j**4 + h*j**3 + y*j + b*j**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42373.\nAnswer: 42373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1752*j**2 + 69 - 2*j**4 - 872*j**2 - 884*j**2 to the form q*j**2 + o*j**4 + f + s*j + p*j**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003975005038 rounded to 5 decimal places?\nAnswer: -0.00398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -346 - -341. Let n(u) = 87*u**3 + 2*u - 1. Let d be n(1). Let l be 2 - (d\/20 - 2). Which is the nearest to l? (a) q (b) 2\/5 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7\/10, -2\/9, 5, 0.5, -3\/2 in descending order.\nAnswer: 5, 2, 0.5, -2\/9, -7\/10, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:41 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7471.8972 - 7472. Put c, -3, -2\/9, -5 in descending order.\nAnswer: c, -2\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - ((sqrt(21) - sqrt(105)\/sqrt(45)) + sqrt(21)))\/(-3*sqrt(112)).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 362 - 357. Let y = 51 - 22. Suppose 2*b - y = 4*i - h, -3*i = 12. Calculate the lowest common multiple of 28 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196344392 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1688587 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 120*l - 99. What is the remainder when 574 is divided by h(61)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -102521, -205043, -307565?\n\"Answer: -102522*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24963 is divided by 114?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 287, 145, -241, -991, -2225, -4063, -6625, -10031?\n\"Answer: -20*f**3 - 2*f**2 + 4*f + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 153.\nAnswer: -5\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/11 - 1566*u**4\/11 + 372932*u**3\/11 - 24299064*u**2\/11 - 25425712*u\/11 + 49353408\/11 = 0. Calculate u.\nAnswer: -2, 1, 108, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1453908l in millilitres?\nAnswer: 145.3908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**4 - 3*v**3 + 4*v**2 - 3. Let q(z) = 3*z**4 + 5*z**3 - 8*z**2 + 5. Let w(o) = 5*i(o) + 3*q(o). Determine l, given that w(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11198183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q**3 - 3*q**2 + 2*q + 2. Let k(v) = 3*v - 2*v + 0*v. Let o be k(2). Let r be a(o). Calculate the highest common divisor of r and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45800 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 - 76*y**3 - 228*y**2 + 1276*y - 968.\nAnswer: -4*(y - 2)*(y - 1)*(y + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7626)\/45 - (-96)\/(-16). Let q = k + 175. Find the common denominator of q and 58\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*(-4)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -3*i + 2*a - 7*a, -5*i - 5*a = 45. Let o(f) = -6*f**2 + 9*f - 7. Let r(p) = 4*p**2 - 6*p + 5. What is i*o(z) - 7*r(z)?\nAnswer: 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 11. Let t be (-2)\/4*(-4)\/(-1). Let n be w\/(-9) - t\/6. Which is the smallest value? (a) -1 (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 1426, 2\/3, 0.2, -1, -0.5 in descending order.\nAnswer: 1426, 5\/4, 2\/3, 0.2, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -4 + (7 - 3) + (-13 - (-39 + 20)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovd when three letters picked without replacement from kkoodvvkjokd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 289961, 579924, 869887, 1159850, 1449813?\nAnswer: 1739776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -86*u**2. Let z(i) = -2*i**2. What is z(m(h))?\nAnswer: -14792*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*i - y - 16, 5*i + 2*y - 20 = 0. List the prime factors of i\/(-1 - 735\/(-730)).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 937907332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 5:02 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3069921 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21102 (base 3) in base 16?\nAnswer: c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.6 (b) 6\/37 (c) -8\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -297\/8*f**2 - 3\/2 - 55\/8*f**4 - 63\/2*f**3 - 14*f = 0. What is f?\nAnswer: -3, -1, -2\/5, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 203400?\nAnswer: -203351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -58271, 2, 4\/9, 5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3 + 12126812*f**2 - 194028224*f + 776111872 = 0. What is f?\nAnswer: 8, 3031687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 284*p**2 - 116*p + 15. Let y(h) = 3*h - 101. Let i be y(36). Is f(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(65)*-4)\/sqrt(5) + 3) - -5*(((sqrt(143) - sqrt(143)*-3*-6) + sqrt(143) - sqrt(143) - sqrt(143) - sqrt(143))\/sqrt(11))**2.\nAnswer: -8*sqrt(13) + 23471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**2 - 2*w**2 + 2*w**2 + (2*w + 3 - 3)*(-3*w - w + 2*w) + 2*w**2 - 4*w**2 + 0*w**2)*(-1 + 22*w + w - 9*w) as n*w + m + l*w**3 + x*w**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893841 is divided by 232?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 8458914350386?\nAnswer: 8458914350387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 0 + 0)*(-1582 + 4765 - 52*j - 1591 - 1569) to b*j + c + h*j**2 and give b.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -457, -1027, -1823, -2845, -4093?\nAnswer: -5567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t**4 + 7*t**4 + 13*t**4 - 2*t**4 - 5*t**4 + t**4 + (t**2 + 4*t**2 - 2*t**2)*(-4 + 4 - t**2) + (0 - 2 + 1)*(3*t**4 + t**2 - t**2).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*a - 21, 0 = 2*p + p + 5*a - 19. Let s(z) = -z + 3. Let i be s(6). Sort p, -5, i in increasing order.\nAnswer: -5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2713 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 2. Suppose 11 = -p - 3*j, j - 1 = -3*p - 18. What is a(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 1. Let i(g) = -20*g + 25. Let x = -2439 + 2389. Determine x*l(j) + 2*i(j).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202723, 202731, 202753, 202795, 202863, 202963?\nAnswer: 203101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 287, 765, 1437, 2303, 3363, 4617?\n\"Answer: 97*z**2 + 187*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-70))\/((54\/540)\/(2\/(-72)))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**3 + 12 + 4 + 3.\nAnswer: -2*l**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 minus -2?\nAnswer: 2.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2433 - 2172.6. Let n = -260 + p. Which is the nearest to -2\/9? (a) 12 (b) 3 (c) n (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -111110011?\nAnswer: -111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.7452551 to one decimal place.\nAnswer: 164.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3953202 is divided by 1161.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**7\/21 - 19*w**6\/60 + 8*w**5\/15 + w**4\/3 + 7*w**2 - 6. Factor b(d).\nAnswer: 2*d*(d - 2)**2*(5*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 8*f + 5. What is o(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1391, 59 in descending order.\nAnswer: 59, -1, -1391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 6*p**2 + 3*p + 5. Let f(a) = a**2 - 6*a + 1. Let i be f(7). Let g = i + 4. What is the remainder when c(6) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/sqrt(11)*5*-3)\/(4*sqrt(160) + ((-2*sqrt(360) - sqrt(360)) + sqrt(360) - sqrt(10))).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*m - 9 = 0, 3 = 2*j - 2*m + m. Let g(b) = -b. Let k(y) = -y**3 + 8*y**2 - 8*y + 8. Let u(t) = j*g(t) + k(t). What is the units digit of u(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 4*q. Let i be t(4). Let v = i - -1. Solve -3 = -g - v for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263 - 45 = -44*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/7? (a) 2 (b) -2\/9 (c) 2\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/11648948 and -11\/92.\nAnswer: 11648948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:51 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 841.1118 centuries in millennia?\nAnswer: 84.11118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-8))\/u)\/u)\/u**3 assuming u is positive.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326669937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16982 + 17485. What is the remainder when f is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 134, 1042, 3510, 8318, 16246, 28074?\n\"Answer: 130*s**3 - 2*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + b - 1. Let j be z(-3). Let m be ((-3)\/(-6) - 1)*(-24)\/(-6). Sort m, 0, j in descending order.\nAnswer: j, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -32, -92, -186, -320, -500, -732?\n\"Answer: -f**3 - 8*f**2 - f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (171875\/(-3))\/(-5)*960. Round m to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 2*o + 2. Let m be (-10)\/(-8) - (o - 0). Factor -3\/4*n - 3\/4*n**2 - m - 1\/4*n**3.\nAnswer: -(n + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 751 - 612.1. Let h = -112 + d. Let r = 27 - h. Which is the second biggest value? (a) -0.5 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3187 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*i = -3*g - 109*i - 24, g = -3*i + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {w: 7, h: 1, g: 2, d: 8, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 + -7557?\nAnswer: -7531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -24*q - 21. Suppose -6 - 10 = 8*k. What are the prime factors of s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 14*x**2 + 20. Let t(q) = 2*q + 5*q**2 + 7 - 2*q. Let p(m) = m**2 + m. Let k be p(-3). Let l = -59 + 42. What is k*d(s) + l*t(s)?\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 720 and 880?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*b + 8*g + 106, 3*b - 52 = -4*g. Solve -3*z + 8 = b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnpwnpwpwppppptt. What is prob of picking 1 t and 1 w?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 320*g**3 + 244720*g**2 + 1157005*g + 1371800.\nAnswer: 5*(g + 760)*(8*g + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 61. Determine m(0).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.159 - -0.181. Let z = o - 0.3973. Round z to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 6*q**2 - 4*q. Suppose -99*a + 12 = -102*a. Calculate i(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*j**2)*(0*j**2 - j**2 - j**2 + (-1 - 2 + 5)*(0*j**2 - 3*j**2 + j**2) - 3*j**2 + 4*j**2 - 3*j**2).\nAnswer: 24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84952365*m**2 + 43069516*m?\nAnswer: 169904730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 13. Let n = -24 - -39. Suppose 5*u - n = 2*x - 4*x, 1 = u. Calculate the lowest common multiple of 10 and s(x).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6898.\nAnswer: 2, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggxoxgooxoogppopx. What is prob of sequence pgo?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) - 201\/(-657). Let h = 128\/657 - n. Is h greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*u**3 - 22*u**3 + 25*u**3)*(-2 + 2 + 2)*(5*u**2 - u**2 - 2*u**2).\nAnswer: -496*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*((2 - 4 - -1) + 1). Let w(d) be the second derivative of 4*d - 1\/9*d**3 + g*d**4 + 0 + 2\/9*d**2 + 1\/90*d**5. Solve w(i) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 238, 239, 240, 241, 242?\n\"Answer: i + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705*d - 702*d = -6. Let k be ((1 - d)\/132)\/(-7). Are k and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/352, -2\/71, 3\/2, 0 in ascending order.\nAnswer: -2\/71, 0, 31\/352, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 32.28. Let d = -0.36 - f. Let l = d + 1.6487. What is l rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/6*(-2)\/12. Let v(r) be the first derivative of -1\/3*r**4 - y*r**3 + 0*r**2 + 0*r - 2\/15*r**5 - 3. Factor v(q).\nAnswer: -2*q**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 - -50. Calculate the greatest common factor of h and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(1\/5)\/t))*t)**(11\/4)*(t*t\/t**(3\/14)*t)\/t**(-1\/10) assuming t is positive.\nAnswer: t**(481\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2862855 by 1017.\nAnswer: -2815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l + 4*f + 1454464, -2*l - 5*f = 727244. Let g = l + 773612. What is g rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -11261327?\nAnswer: 11261332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 1:03 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 119\/9, -1.5 in decreasing order.\nAnswer: 119\/9, 0.7, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 611, 2458, 5543, 9866, 15427, 22226, 30263?\nAnswer: 39538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*u - 36, 4*u - 18 = u + 3*s. Let p(y) = -y**2 - 3*y + 4. Let i be p(-4). Solve i = a + a + u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 13. Let q be k(9). Suppose 0 = q*u - 3*u. Solve -3*l + 1 = -r - 4, -3*r - l - 5 = u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 161, 269, 401, 563?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 13.9\nAnswer: -125.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 8*j - 2. Let p be f(5). Let a be 79 + -64 + 12*-1. Find the third derivative of 32*z**3 - 66*z**a + 44*z**2 - p*z**2 wrt z.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144467573 to the power of 1\/3, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*n = 83 - 2179 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a0a453 (base 11) in base 2?\nAnswer: 11010011110000110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -4, -3, 314?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -398110 by -79622.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17626?\nAnswer: 2, 7, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*(y\/(y*y**0))\/y*y*y**(16\/7) assuming y is positive.\nAnswer: y**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.88244721 to 2 dps.\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 621.138l?\nAnswer: 621138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71775*p + 10432 = 71449*p for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.1 - -1.9. Let m = 8926 - 8926.1. What is the closest to -1 in x, m, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10777167.\nAnswer: 3, 17, 70439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11760 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: b\"What is the zth term of -133, -257, -381, -505, -629, -753?\n\"Answer: -124*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 4*c + 7. Let l be d(4). Determine p so that -l*p**2 + 4*p**2 - 5*p + 8*p**2 - 3*p**3 - 5*p**4 + 8*p**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 215366 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16090*-0.6\nAnswer: -9654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/4 (b) -36\/311 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 27*w + 21. Let m(g) = -15*g**2. Determine f(m(s)).\nAnswer: -405*s**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -405396 divided by -135132?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4364720, -4364604, -4364486, -4364366, -4364244, -4364120, -4363994?\n\"Answer: z**2 + 113*z - 4364834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74 - -73.37. Let m = u - 2.07. Let i = m - -1.7. Which is the closest to 1? (a) -4 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -6. Let o be (-2 + (2 - a))*1. Is (-2)\/6*(o + -38) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*4\/(-16)*12\/(-45).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 551 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 3. Let n(y) = y**3 - 6*y**2 + 3*y - 6. Let f be n(6). Let m be (f\/(-1 + -2))\/1. Let j be (-4 - m) + (-1 - 1). Calculate t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 11 = a - 3*l, a + 3*l = 33. Suppose -f + 4*f - a = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44.68703 litres?\nAnswer: 44687.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**5 - 13165*r**4 - 8685575*r**3 - 25938355*r**2 + 52600*r + 34584500 = 0.\nAnswer: -1315, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**2 - 6 + 0*x - 2\/3*x**3 + 1\/2*x**4 + 2\/5*x**5. Factor l(z).\nAnswer: 2*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137.67 + -139.67. What is the second smallest value in i, 320, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(8820\/(-35)) + 4\/14. Let w be -1 - 1 - -1*7. What is the smallest value in i, w, 1\/9, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00225801 to five dps.\nAnswer: -0.00226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -388*t - 4469. Give o(-12).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/5, 2\/5, 2\/3, 4, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14229883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 10:44 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -12*t - 27*t**2 + t**3 + 5 + 52*t**2 - 36*t**2. Let g be r(12). Let j = -64 - -60. Sort g, 4, j in descending order.\nAnswer: g, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -1982.\nAnswer: -1988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1 + 42624*j**2 + 82376*j**2 + j - 3. Let n be k(2). What is n rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -12. Suppose -3*r - 3 = -k, u*r - 9 = 2*r - 3*k. Which is the biggest value? (a) 3\/8 (b) -5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/5 - 12250*x**2 - 470686064*x\/5 - 26630474784\/5.\nAnswer: -2*(x + 57)*(x + 15284)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10) + (-24640)\/(-79200)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/2 + -4. Let g = 1548.9 - 1549. Suppose 5*i - 3*h - 12 = 2*i, -2*i - 5*h - 20 = 0. Which is the nearest to i? (a) y (b) -0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/180 and -26\/15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-25)*(-1)\/(-3))\/6.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 4*b**2 - 12 - 1\/150*b**5 - 1\/60*b**4 + 0*b + 2\/15*b**3. Let m(c) be the second derivative of q(c). Factor m(r).\nAnswer: -2*(r - 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((252\/15)\/(-4))\/(-9 - (-261)\/15 - 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4224 is divided by 223?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - w**3 + w**5 + (1 - 3 - 1)*(-w**5 - w**5 + w**5) + 0*w**4 + w**5 - 10*w**4 - 3*w**4.\nAnswer: 5*w**5 - 13*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13476412 - -0.0794457?\nAnswer: -13476411.9205543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**4 + 65972*u**3 + 725406120*u**2 + 2659096989900*u + 2658371649750 = 0. What is u?\nAnswer: -10995, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -112*r - 305. Give w(-4).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -u. Suppose -5*c = -u + 10. Suppose 0 = -0*m - m + 4. Put m, -3, c in descending order.\nAnswer: m, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-62)\/266 - (66\/14 + -5). Which is the closest to 1\/3? (a) -5 (b) -4\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 221*b**2 + 187*b + 7767. What is k(222)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 386466, 772913, 1159360, 1545807, 1932254, 2318701?\n\"Answer: 386447*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 + 145. Suppose -6425855 + 17725855 = -z*i. Round i to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.021*42.\nAnswer: 0.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.08 (c) 4 (d) -0.1 (e) -1084\/5 (f) 0.3 (g) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1180, 68, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7606 - 0.66926. Round q to 3 decimal places.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 - 29*n**2 - 530*n - 8160. Determine t(-15).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3582384865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 684 + 675 + 2*u - 2051 + 692 + u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*3\/2*(-10)\/3. Suppose -4 = -0*x - 2*x. Let w(d) = d**3 - 3*d**2 + 2*d - 1. Let u be w(x). Sort u, a, -5.\nAnswer: -5, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 314, 0, 0.2, 0.01, -1\/4 in ascending order.\nAnswer: -1\/4, -1\/9, 0, 0.01, 0.2, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-388)\/6)\/(8\/2) and 3 + -2*22\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -7. Suppose t - j - 4 = 0, 5*t + j - 10 - h = 0. Solve 5*o = t - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39132 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - (-21 - -15) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + s - 1. Let t(d) = d**3 + 8*d**2 - 9*d + 10. Let h be 49 - (0 - 2) - 0. Let z = h + -90. Let w = z + 57. Calculate w*o(p) + 2*t(p).\nAnswer: 2*p**3 - 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 816 (b) 10 (c) 1\/8 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7 - 5. Which is the closest to -0.2? (a) u (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -2.49, -34 in increasing order.\nAnswer: -34, -15, -2.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 5) + (2 - (-6 + 8 + -37)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4020952600.\nAnswer: 2, 5, 7, 2872109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*(sqrt(27)\/(sqrt(900) - (sqrt(900) + sqrt(900)*-2)) - sqrt(30)\/(sqrt(40) - sqrt(10))*6) + 0)*6.\nAnswer: -1785*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 243388216*k + 3702363980478916.\nAnswer: 4*(k + 30423527)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m*v**4 - 5*m*v**2 - 13*m*v - v**5 + 8*v**4 + 10*v**3 - 71 wrt v?\nAnswer: 24*m*v - 60*v**2 + 192*v + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.14, -213\/7, 3\/17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23562\/7813 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 + -0.08. Let p = 0.55 - 0.25. What is the second smallest value in p, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-5 - 0) + 6. Suppose 0 = q - 4*h + 14, -s - 3 = -q - 2*h. Suppose -2*g = q*g. Is g at most as big as 9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Let w(q) = t - 4 - q + 8*q**2. Let c be w(1). Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118261*g**3 + 118390*g**3 + 1 - 1 - 355041*g**3 + 118394*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -45, -79, -129, -201, -301, -435?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 + -193.9. Let n = 6.4 - -0.6. Let o(r) = 2*r**2 - r + 1. Let c be o(1). Put n, c, p in decreasing order.\nAnswer: n, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/18 and -25\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**3\/3 + 5*s**2\/2 - s + 7. Let n(z) = -2*z. Determine -5*n(t) - 2*u(t).\nAnswer: 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - -1.94. Let h = -5 + 4.7. Let g = 0.4 + h. Which is the nearest to g? (a) 0.5 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**4\/2 + 3117*c**3 - 9709453*c**2\/2 - 9718806*c - 4860962 = 0. What is c?\nAnswer: -1, 3118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/9 + (0 - (3 + -4)). Let w = 35 - 34. Does j = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 5*q - 6. Suppose 3*j + 4*a - 25 = -0*j, 0 = -2*j - 4*a + 22. Let y be (-1)\/2*2 - j. Give s(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 7. Suppose 0*v - 2*v = 6. Let g be q(v). Which is the third smallest value? (a) 0.5 (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6102137653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 2*i, 2*i - 4 = -4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37493668*i*o + 204520049*i wrt o?\nAnswer: 37493668*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, -16, -42, -70, -94?\n\"Answer: b**3 - 10*b**2 + 5*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 10*d + 11. Let t be i(-8). Let r be 6 + t - 327597\/66. Let j = r - -4961. Find the common denominator of j and 107\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 36*n**2 + 76*n + 112. Is 4 a factor of h(34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(500)*4)**2 - sqrt(5)) + sqrt(55)\/sqrt(11) + 2.\nAnswer: 7607","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 5*i - 30, -5*v - 64 = -3*i - 74 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8054, 8040, 8026?\n\"Answer: -14*m + 8068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*(-255600)\/(-15336)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -1\/15*h**5 - 8*h**2 - 1\/3*h**4 + 0 - 2\/3*h**3 + 0*h. Factor w(j).\nAnswer: -4*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 18 = 3*m, 3*q = -m - m - 7. Is 12148\/m*(4 + 12\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -645 + t + 0*t**3 + t**3 - 652 + 1309 + 6*t**2. Calculate i(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7688 or 11240?\nAnswer: 11240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, t: 3, s: 9, k: 1, j: 3, b: 1}. What is prob of picking 1 s, 1 b, and 1 j?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 149683267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 4:26 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 15584477 = -44202977. Round s to the nearest ten thousand.\nAnswer: 1910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x**3 - 12*x**2 + 12*x - 2. Is g(-6) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.1, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 less than or equal to -130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -9. What is the lowest common multiple of 5 and (0\/1 - w) + 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -521, -1051, -1581?\nAnswer: -2111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(242) - (3 + (sqrt(242) - ((sqrt(242) - sqrt(242)*1) + sqrt(242)))))*-5)**2.\nAnswer: -1650*sqrt(2) + 6271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 35023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 + (-7 - -10) + (20 - 19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n*n**(2\/3))\/n)\/n**(1\/4))\/((n*n\/n**2)\/(n\/(n**0*n))) assuming n is positive.\nAnswer: n**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 101*k**2 + 1794*k - 92. Determine w(23).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -23*y + 923. Find the first derivative of y*f**3 + 0 - 49 - 6*f**3 wrt f.\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*o - 251. Let z = o + 143. Let c be ((-18)\/(-15))\/(6\/z). What is the greatest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2344*y + 7222. What is the thousands digit of o(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/22940 and 5\/3541936.\nAnswer: 17709680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/5*(-35)\/14. Suppose d + 77376 = 2*d + 3*k, -z*d + 232128 = -2*k. Let x = -44624 - d. What is x rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -639*b - 864. Determine o(-2).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 850177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) + (66\/8)\/3. Suppose 0 = 5*a - 3*v - 173, -114 - 22 = -4*a + m*v. Calculate the remainder when a is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*v + 76*v = -81*v - 24, 0 = -4*c + 2*v - 260 for c.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 11*j**7\/105 + 5*j**3\/6 - j**2. What is the first derivative of a(t) wrt t?\nAnswer: 88*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21915487 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -86*z + 84*z + 1893, 7592 = 4*c + 4*z. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*7\/868 - -10*(-1)\/20.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3794307757 rounded to the nearest 1000000?\nAnswer: 3794000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.999 and -1.\nAnswer: 19.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3126046 to the nearest integer?\nAnswer: 1768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (6 + -3 - 1 - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1188 and 2592.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2819, -5637, -8449, -11249, -14031, -16789, -19517, -22209?\n\"Answer: v**3 - 3*v**2 - 2816*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31751913 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 + 43 = -t. Suppose -4*w - 401 = -3*o + 72, 5*w = 3*o - t. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(128) - sqrt(128)*-2*5))**2 - ((-4*sqrt(2)*-3)**2 + (sqrt(242) - (sqrt(242) - 2*sqrt(242)) - sqrt(2))).\nAnswer: -21*sqrt(2) + 386912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122125 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ab98 (base 12) to base 8\nAnswer: 45044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9080969 meters in millimeters?\nAnswer: 908.0969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(6)\/sqrt(2)*2*-2.\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4\/5 + 914*i**3\/5 - 4734*i**2\/5 - 52866*i\/5 - 91476\/5 = 0. What is i?\nAnswer: -462, -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**26)\/a)**(2\/3) assuming a is positive.\nAnswer: a**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -300384 divided by -6258\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + o**2 + 2*o + 1. Let s be y(-1). Is 2\/5 >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven halves of a milligram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 1.2. Let m = 445 - 448. Which is the fourth biggest value? (a) 2 (b) p (c) 1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2949652 divided by -22.\nAnswer: -1474826\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -39*n - 25. Let s be f(-10). Let d = -157 + s. Let b = -135 + d. What are the prime factors of b?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-291)\/(-57) - 1 - 4 - 0. Put -4, -1\/2, v, 3\/2 in increasing order.\nAnswer: -4, -1\/2, v, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104838620*w**4 - 123910432*w**2 wrt w?\nAnswer: 2516126880*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let z be o(1). Let x(h) = h**3 + 2*h**2 + 3*h + 1. Let k be x(z). Let w = k + 17. What is the remainder when 35 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 - 17*t - 34. Let k(r) = r + 2. Let y(j) = 6*d(j) + 102*k(j). Let i(c) = 4*c**2. Determine i(y(n)).\nAnswer: 576*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(0 + -32 - -1). Let d = 470\/77 - 10693\/1386. Find the common denominator of d and 2\/2 - f\/44.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbjbbjjejgjl. Give prob of sequence bggl.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a microsecond in nanoseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*f**2 + 650 - 23*f**3 - 323 - 327 wrt f?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 9:21 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 636.1931 centuries to years.\nAnswer: 63619.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -45886 divided by -47\nAnswer: 45886\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 b when three letters picked without replacement from bbkbkbbkbbbbbbbbbb.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45981\/(-3406)*(6\/(-14) + 23\/21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 18*r = 23*r + 75, -3*r + 21 = 3*v - 54 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2682, 3199, 3716, 4233, 4750, 5267?\n\"Answer: 517*a + 2165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3226?\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 v, 1 l, and 1 f when four letters picked without replacement from zfwlfvvkwlfw.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f - 8\/9*f**2 - 40\/9 = 0 for f.\nAnswer: -20, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1522150 to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 41144*k - 117228*k - 26981*k.\nAnswer: -185353*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 345.53 + -342.53. Let f be 5\/(70\/(-6)) - 0. What is the closest to -2 in f, -5, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9401 and 107282?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -9 - 4*c**3 + 4*c**3 + c**3. Let a(m) = 0 - 5 + 9. What is -5*a(l) - 2*s(l)?\nAnswer: -2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036223 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2916 and 68197464.\nAnswer: 204592392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/7)\/(h\/(h\/(h**(-2\/35)\/h))*h))\/(h**(16\/5)\/h*h*h**(2\/27)))**13 assuming h is positive.\nAnswer: h**(-6851\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8984959 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001979 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5))**(2\/5)\/((f**(-9\/11)\/f)\/f**(-33)) assuming f is positive.\nAnswer: f**(-8619\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-6)*w))\/w**(-2))\/(w**6\/w**(-2\/21)) assuming w is positive.\nAnswer: w**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a. Let d(t) = -10*t + 154. Let v be d(15). Let f(w) = 3*w + v*w - 2*w - 1817 + 1817. Calculate 5*f(h) + 6*p(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -28342, -6, -3, 5 in descending order.\nAnswer: 5, 4, -3, -6, -28342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**2 + z - 2. Let v(n) = -n**2 + 4*n - 4. Let g = -26 - -28. Let i be v(g). Determine q(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 5*l - 7. Let p be n(5). Let s = p + 4. Let w = 0 - s. Solve 0*x = 5*o - 3*x + 18, 0 = 3*o + w*x + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**(2\/3))*y**(-10))**(5\/6)\/((((y*y\/((y*y**(-2\/9))\/y*y))\/y)\/y**7)\/((y*y\/(y\/(y**(-1)*y))*y)\/y**5)) assuming y is positive.\nAnswer: y**(-107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/1011054 and -137\/1685090?\nAnswer: 5055270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*66\/27*-3. Let x = 25 - g. Find the first derivative of -2 + 10*k**3 - 10*k**3 - 9*k**x wrt k.\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w**6\/105 + w**5\/14 - 4*w**4\/21 + 4*w**3\/21 - 3*w + 1. Let a(u) be the first derivative of k(u). Solve a(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2103*a**3*c*k + 4*a**3*c - a**3*k - 408*a**3 - 2*a**2*k - 3*a*c*k + 3*k wrt c?\nAnswer: -2103*a**3*k + 4*a**3 - 3*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 371740 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/2)\/(28\/(-6)). Let s = -169\/42 - w. What is the closest to -2 in s, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-33)\/11)\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*b = -6, 0 = -5*d + 2*b + 3*b - 50. Let i = d + 38. Suppose 14 = 5*y - u - u, y = -4*u + 16. What is the greatest common factor of y and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1296*y**2 + 1178*y - 119. What is r(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 60\/6 - 3. Let k be -1 - (-2)\/(1 + 1). Suppose k = h + y*h. Which is the closest to 1? (a) -3 (b) 0.4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-10)*(-45)\/27. Let s be (-224)\/(-15) + 27\/(-45). Let d = s + -15. What is the second smallest value in g, d, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {o: 3, g: 4, q: 5}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from nenennjwnnwwew?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41396211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2161052 (base 8) in base 5?\nAnswer: 122112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 3 = z. Let g be 534\/445*(-10)\/6. Which is the nearest to 2? (a) g (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 19 = -2*i, 5*r = -2*i + 6*i - 23. Find the first derivative of i - 3*p**2 - p**2 - 6 wrt p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 3cf?\nAnswer: -3d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 1294, 18, -34\/11?\nAnswer: 1294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33224477*u - 16062610.\nAnswer: 33224477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159 by 83.\nAnswer: 159\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r - 118. Calculate p(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*r = 22, -254*s - 7*r + 10*r = -127*s - 128*s - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1424.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4295218\/15 + -288965. Let m = j - -2622. What is the common denominator of 139\/6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3487206 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 20841\/217888 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**6\/120 - t**5\/60 + t**4\/24 + t**3\/6 + t**2. Let k be v(-2). What is the smallest common multiple of 18\/(-4)*(-2)\/k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11176856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**7\/14 - l**6\/10 - 9*l**5\/20 + l**4\/4 + l**3 - 8*l. Determine d so that y(d) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**6\/90 + n**5\/12 + n**4\/6 + 2*n**3 + 2. Let a(m) be the third derivative of d(m). Factor a(r).\nAnswer: 2*(r + 2)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/15)\/(1\/(-35)). Let l be (z\/24)\/(1\/(-4)). Let v = l - -7. Which is greater: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632466853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 4681515.\nAnswer: 18726060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/93371 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5396 + -13593763.35?\nAnswer: -13588367.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 - 105\/(-27))\/(4\/(-690)) and 32\/(-36)*102\/(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3327 and 17016.3181.\nAnswer: 13689.3181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 241384534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 69. Let w be 30\/6 + (0 - -1). Suppose w = y + y. Solve h = -y - m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/1470 + 204\/(-819)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = n - 10, 4*n + 5*g = 2*n - 5. Let x = 110 + n. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3568\/489277 or 1?\nAnswer: 3568\/489277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 229 + -312. Put p, -10, 1 in decreasing order.\nAnswer: 1, -10, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*b**2*r**2 + 400114*b**2*r + 204624*b*r**2 + 5*b wrt r?\nAnswer: 52*b**2 + 409248*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**(2\/23))))\/(d**(2\/13)\/d))\/(d\/((d**(2\/7)*d)\/d)*d**(-5\/3)) assuming d is positive.\nAnswer: d**(18118\/6279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*h + 51, 4*h - 3*y - 200 = -166. Let p = -18 - -45. Which is smaller: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-6)\/(-15)*(-5)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(96))\/sqrt(8).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i - 8. Let t(s) = -6*s - 7. Suppose -18 = -2*g + 2*f, g + 5*f + 5 = -2*g. Let k be (-1 - 4) + (-3)\/3. Determine g*h(y) + k*t(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**1)**(-32)\/((a\/(a*(a**6\/a)\/a))\/(a\/a**(3\/8)*a)) assuming a is positive.\nAnswer: a**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17087 in 22, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 46019 = -46179 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1259 - -147.0741. Let x = -145 + q. Which is bigger: 0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - (31 + -65)) + 3 + -1 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 18644254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8977 - -9839. Suppose -3*m - 5*u - 643 = -u, 0 = -4*m + 5*u - 816. Let h = i + m. Round h to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f - f**2 + 27*f - 15*f + 7 - 2 - 23. Give x(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 119070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 38 = 42 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 1129 = 301. What are the prime factors of f?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101112 - 221?\nAnswer: 100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6771456?\nAnswer: 2, 3, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2057.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -2. Suppose 6*h - u*h = -50. Solve -h = -5*s - 0*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 40 = -o, 4*o = 3*o + f + 44. List the prime factors of o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 67, 139, 211?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 259*x - 3*x**3 - 14 - 529*x + 265*x to the form y + d*x + s*x**3 + j*x**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (50\/8)\/((-13)\/(-3016)). Suppose -5*f + 664 = -3*n - 780, -5*f + 5*n = -g. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*-15 - (-276 - -266). Let r = 7.03 + -0.03. Which is the nearest to -2\/5? (a) n (b) r (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -97*r**6\/30 + 5*r**3\/6 - 8*r**2 + 103*r. What is the second derivative of s(k) wrt k?\nAnswer: -1164*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and -225.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333 a factor of 6534366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((2*sqrt(198) + sqrt(198))\/sqrt(11))\/((sqrt(294) - sqrt(294)*-2 - sqrt(294)) + sqrt(6)))**2.\nAnswer: -122\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17665.\nAnswer: 5, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 115 = 6*g - 3*b, -2*g = 3*b - 53. Let d(y) = 16 + 8*y**2 - g - 5*y**3 + 5*y + 4*y**3. What is the units digit of d(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.023534 + 0.14714. Let s = b + -0.14769. Let g = -0.024 - s. What is g rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**5 + k**2. Let m(a) = 18*a**5 + 9*a**4 - 12*a**3 + 15*a**2. Suppose 0 = -3*t, 6*c - 3*c + 2*t - 45 = 0. Let s(n) = c*p(n) - m(n). Factor s(v).\nAnswer: -3*v**3*(v - 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 12:22 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and (-1)\/(-4) - 3*(-1662)\/24?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*t**3 - 119*t**2 - 5*t + 334665?\nAnswer: -105*t**2 - 238*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c - 9. Let h(p) = -589*p**2 + 8830*p + 70. Let s be h(15). Sort s, -7, c, 4 in decreasing order.\nAnswer: 4, c, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93 - 54. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(2))**2 - (sqrt(2) - sqrt(14)\/(-1*sqrt(7)))) + (sqrt(264)\/(sqrt(96)\/sqrt(8)))\/sqrt(11).\nAnswer: -sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-2 + 2 + -3)*(-8)\/8. Which is greater: l or 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 63 = -73. Suppose 6*k + 2 = 7*k + l, -q*k = -2*l - 4. Factor -3*n + 38*n - 11*n + k*n**2.\nAnswer: 2*n*(n + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, -5, 6, -0.03395?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2301496510?\nAnswer: 2, 5, 230149651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 241.214 kilograms?\nAnswer: 241214000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 100 + -292 - -40 - -60\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 722970 or 1445937\/2?\nAnswer: 1445937\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*q**2 - 137*q**2 + 269*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (112\/266)\/(24\/228). Solve u = 4*a - 12, 0 = -4*u - i - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - 6) + -6 - 13 - -7 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -50, -58, -48, -14?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15 + -1629?\nAnswer: -1614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**5 + 2558*r**4\/3 + 114750*r**3 + 15471346*r**2\/3 + 20404720*r + 6232800 = 0.\nAnswer: -212, -105, -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 17. Let k(x) = -x**2 - 1. Let i(n) = 6*n**2 + 5. Let d(o) = 2*i(o) + 10*k(o). Determine d(r(v)).\nAnswer: 2*v**4 + 68*v**2 + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*m**2 - 76*m**2 + 20*m + 8 - 4*m**4 + 23*m**3 + 40*m**2 = 0. What is m?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 8*g - 48. Let a be v(12). Let k = a - 27. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 444, 1039, 1814, 2769, 3904, 5219?\n\"Answer: 90*k**2 + 325*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73 + 196 - 27227*s**2 - 269 to the form d + w*s**2 + r*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.6. Let l = -1.1 - -7.1. Let q = l - 2. Which is the third biggest value? (a) p (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8 = 0, h + 4*h - 2*k - 1 = 0. What is the common denominator of 126\/(-804)*h*20\/(-15) and -113\/6?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51689 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 2*s**2 - 4*s**2. Let w(m) = -m**3 + 2*m**2 + 2. Let b be w(2). Let q(p) = 4*p**b + p**2 - 2*p**2 - 4*p**2. Calculate q(v(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 8*p + 12. Let q be f(9). Let k be (-1)\/(-1)*q\/(-9). Let m = 233\/7 - 33. Are k and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/4)\/(1\/(-68)). Suppose -3*z + 105 = b. Let q = z + 207. Round q to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144022 (base 11) to base 8.\nAnswer: -667303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (-15 + -3 + 19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 + 28 = -5*y, -2 = w - 4*y. Let z = w + -13. What is the units digit of (2\/z)\/((-3)\/(-45))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9742360?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -172 in increasing order.\nAnswer: -172, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u**5 - 540*u**4 + 1400*u**3 - 1120*u**2 + 120*u + 124 = 0. Calculate u.\nAnswer: -1\/4, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 5*f - 5. Let b be d(-5). List the prime factors of (-222)\/b + (-4)\/10.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 3082?\nAnswer: -307a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:19 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 20*d + 16*d - 688, 8 = 2*d. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 327*s - 326*s + 8, 4*f = -22*s + 72 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-374)\/55*(-7)\/((-42)\/(-1836645)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/31 in -2\/5, -16, -51, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*k - 284*k - 144 = 0. Let z(f) be the first derivative of -k - 4*f - 2\/3*f**3 - 3*f**2. Determine i so that z(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25, 203, 691, 1645, 3221?\n\"Answer: 26*d**3 - d**2 - d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2033495335.7909897 + 2033372848.844. Let c = 122487 + b. Let x = -0.053 + c. Round x to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.069 + -14.431. Let t = 14 + a. Put t, -1, 5\/3 in descending order.\nAnswer: 5\/3, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 12:52 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/35 and -47\/1335?\nAnswer: 9345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {l: 1, k: 1, z: 2, x: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4 - 4 = 0. Let p = 3 - i. What is the common denominator of 286\/(-99)*p\/(-6) and -23\/21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 5*v + 3. Let y be m(-4). Let t be 3\/(6\/(-410))*y. Suppose -53 = 8*n - t. What is the remainder when 93 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 1. Let d(o) = 4*o - 2. Suppose 5 = l - 0. Determine l*a(j) + 3*d(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a century in years?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 19*v**2 - 12*v - 20. Is 13 a factor of k(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + -2)\/(1\/(-12)*2). Suppose u*k = 3 + 15. Suppose 2 = 2*z - 8, k*y - 263 = 2*z. List the prime factors of y.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 521768 and 351?\nAnswer: 14087736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33, 42, 51, 60, 69, 78?\n\"Answer: 9*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b0890c + -4?\nAnswer: 8b08908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 101 = -371. Does 18 divide (92\/6)\/((-12)\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m + 6. Let j be (-140)\/30*(0 - -6). Let u = j - -43. Does 15 divide g(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*96\/32)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {s: 5, w: 3, n: 4, g: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/24*-3)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(8\/(-2))*8060\/(-155). Let t(n) = -n - 12*n + k*n + n**2. Let i(x) = -143*x**2. Give i(t(j)).\nAnswer: -143*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2252*w + 159428 + 117800 = -35800 for w.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -192*h + 9. Let v(r) = 96*r - 5. Let g(d) = 7*v(d) + 4*w(d). Is g(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 5*l + 3*l)*(l - 5*l + l)*(2*l - 2*l - 2*l).\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**7\/630 + s**5\/60 + s**4\/36 - s**2 + 2*s. Let g(o) be the first derivative of c(o). Suppose g(v) = 0. What is v?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)*-2*1 + -6*-1*sqrt(64))\/(((sqrt(32) - -4*sqrt(32)) + sqrt(32))\/sqrt(4) + sqrt(56)\/(sqrt(7)*-4)).\nAnswer: 32*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 2*t - 4*s - 6, -5*t + 1 = -2*s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 17867?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -397 (base 11) to base 14\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in centimeters?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 3*l**5\/160 - 3*l**4\/32 + 3*l**2\/4 - 6*l. Factor u(w).\nAnswer: 3*(w - 2)**2*(w + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 192*f*h*s + 190*f*h - 11*h*s - 6*h wrt s?\nAnswer: 192*f*h - 11*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) - ((1*sqrt(425)*-1)**2 + sqrt(425)) - 2*2*sqrt(425).\nAnswer: -425 - 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -1 (c) -33 (d) 0 (e) 3.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 25*s - 5. Let j(b) = 49*b + 29*b - 138*b + 32*b + 29*b. What is a(j(c))?\nAnswer: 25*c - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13339, 13336, 13333?\n\"Answer: -3*h + 13342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025.4 rounded to the nearest 10?\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 67288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 444*p**3 + 2*p + 295*p**3 + 730*p**3 to the form q*p**2 + s + m*p + u*p**3 and give u.\nAnswer: 1469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/1*((2\/36)\/(-1))\/((-77)\/462)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 3*y - 6*y)*(0*y**3 + 3*y**3 - 2*y**3).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = l - 2, -l = -4*h + 15. Suppose h*k = -0*k + 12. Let q = -0.2 - -0.4. Which is the nearest to -0.1? (a) -2\/3 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 55*h**3 + 79*h**3 + 5*h + 81*h**3.\nAnswer: 105*h**3 + 15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqq when three letters picked without replacement from kokkitkkioktktqqk?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i. Let h(f) be the second derivative of f**3 - 251*f - 2. What is -5*h(k) + 3*j(k)?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**3\/3 + h**2 + 3*h. Let m be f(4). Is m\/(-8)*20\/(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-164)\/(-13))\/4 + 4\/(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7*(-5)\/((-35)\/(-2)). Suppose 6 = m*i - 4. Let k(l) = 8*l - 7. Let f(b) = -9*b + 8. Let c(s) = i*f(s) + 6*k(s). Differentiate c(j) with respect to j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22966 + 505361\/22. Find the common denominator of l and 9\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99243?\nAnswer: 3, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1310 (base 4) to base 6\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(((-1116)\/20)\/31*(-20)\/168).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + c = -10, 0 = 3*p - 3*c - 21. Suppose -p*i - 15 = -8*i. Suppose r = -3*f + 147, -f - i*r + 20 = -15. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 - 4*s - 5. Suppose -t + 13 + 4 = -5*a, 4*t + 4 = 2*a. Let q be z(a). Is (1 + -5)\/((-6)\/q) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/7*(-14)\/4*-2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 810110 = 810023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 10:30 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 10, -278 in ascending order.\nAnswer: -278, -24, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -777*c + 1570. Determine y(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20008 divided by 7?\nAnswer: 20008\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 205, 424, 731, 1144, 1681?\n\"Answer: 3*a**3 + 17*a**2 + 77*a - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 2*r + 5. Let v(q) = q + 1. Let n(t) = 3*v(t) - x(t). Let w = 9 + -13. What is the tens digit of n(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 26 - -22 - (-3 - 0)) + 23\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -922.000005505 + 922. What is j rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g + 12. Let h(i) = 2*i + 1. Let r(m) = -b(m) + 4*h(m). Give r(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 23220401323?\nAnswer: -23220401323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 923\/26 - -12*(-408)\/288.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6\/(y\/y**9))\/(y\/y**(1\/2))**(-15\/4) assuming y is positive.\nAnswer: y**(127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 411 = -5*h. What are the prime factors of h?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 - 1319\/6. Let c be (-2)\/12 - (-8)\/(-10). Let k = s + c. Is -3 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, 1821\/739.\nAnswer: 1\/3, 1821\/739, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3755837 rounded to 4 decimal places?\nAnswer: -0.3756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -24. Let r(q) = -247*q**3 + 3*q**2 + q - 1. Let y be r(s). Calculate the highest common divisor of y and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 15 = 31 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 191839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*q + 109*q - 12*q**2 - 116*q - 85*q**2 + (-4*q + 4*q - 2*q)*(2*q - q - 2*q) - q**2 - 5*q**2 + q**2 to r + z*q + n*q**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 4*x**2 + 2*x + 5. Let n be k(-4). Let w = 1 - 0. Which is the smallest value? (a) n (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 5*p**2 - 3*p + 4. Let m be x(-4). Sort m, 37, 4, 5 in descending order.\nAnswer: 37, 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93896 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -4.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 + 2*c**2 - 2*c - 3. Let g(q) = q**2 + q - 14. Let l be g(3). Give k(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -18, 2, 1, 58 in decreasing order.\nAnswer: 58, 7, 4, 2, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {y: 1, v: 14, j: 1, o: 2, e: 1}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 624 and 3588.\nAnswer: 14352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 39 = 9*f. Let n be (12 + f)\/((-1)\/4). Solve 4*u + 36 = -n*b, -b + 17 = -5*u + b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2961 divide 407208564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*b + 23*b = 30*b. Let k(m) be the first derivative of b*m**2 - 1\/3*m**3 + 0*m + 29. Let a(y) = 43*y. Determine a(k(x)).\nAnswer: -43*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26782*f - 13399*f - 13393*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 289783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(76) + -5 + -5*1*sqrt(76).\nAnswer: -8*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1010 and -0.1?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 165848. Let y(g) = 3*g. Give y(i(c)).\nAnswer: -3*c**2 + 497544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*l - 420*b**3 - 174*b**2*l wrt l.\nAnswer: -2*b**3 - 174*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 6. What is the lowest common multiple of 1 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 558*u = 563*u + 50, 2*u - 64 = 2*y. Which is the nearest to y? (a) 0.4 (b) -8 (c) 13 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (532\/(-54))\/(2 - 10\/15) and 23\/309.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 21 = -3*q, -4*a + 15113 = 8*q + 15101 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45 + 10896?\nAnswer: 10896.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k + 11. Let b(w) = 18*w + 76. Let f(m) = -13*m - 54. Let l(p) = -5*b(p) - 7*f(p). What is -22*l(o) - 4*y(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s - 1. Let h(a) = -15*a - 3. Let y(u) = h(u) - 3*n(u). Determine f so that y(f) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 2679*i - 1723 - 1480 + 574, h - 12 = -2*i for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 197*x - 993 + 694 + 496 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 + 101 + i - 201.\nAnswer: i - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 10:16 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f + 2*f)*(-121 - 2 - 38).\nAnswer: -161*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498 is divided by 372.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v + 4*v - 36 = 0. Suppose 12 = -v*c + 2, y - 2*c = 12. Factor 0 - 2\/3*n**y - 7\/3*n**3 + 0*n.\nAnswer: -n**2*(7*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16797022.29 + 7377.4.\nAnswer: 16804399.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*y + 10. What is the highest common divisor of y and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 519.572553 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4 - 281*d**3 - 17308*d**2 + 3060*d + 1231200 = 0?\nAnswer: -190, -90, -9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192148379 is divided by 180.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5490412746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - -1*sqrt(180)) + 4)**2 - (sqrt(5) + sqrt(5)*1 + -2 - sqrt(5) - (sqrt(80) + sqrt(80) + -1))**2.\nAnswer: 82*sqrt(5) + 490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000057856 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.208, 115, -2\/9, -1\/153 in descending order.\nAnswer: 115, 0.208, -1\/153, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 - 5*u + (0 - 4 + 1)*(0*u + 0*u - 2*u)*(-2 - 6 - 4)*(-1 - 1 + 3).\nAnswer: -77*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 323891428 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/3 + 442*q**2\/3 - 75429*q - 33428052.\nAnswer: (q - 476)*(q + 459)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -12\/7, 0.3, -0.4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5684, -11367, -17038, -22691, -28320?\n\"Answer: z**3 - 5690*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let y = -2.5592 - -2.1592. Suppose -k = -f - 8, 4*k = -2*f - 3*f + 5. Put w, 0.5, k, y in decreasing order.\nAnswer: k, 0.5, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111101011 (base 2) to base 16\nAnswer: -1eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -5*(3*sqrt(637) + 3)*6)**2.\nAnswer: 118440*sqrt(13) + 5168536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2884 - 1720. Find the common denominator of (n\/112)\/((-12)\/8) and -45\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398954 times 117?\nAnswer: 46677618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 6:03 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6078, 24427, 54972, 97683, 152530, 219483?\n\"Answer: -5*b**3 + 6128*b**2 - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9524982*c - 8596. Let x(f) = -33246*f - 30. Calculate -15*i(j) + 4298*x(j).\nAnswer: -16578*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 10, -n - 2*m + 152 = -20. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 + 5*r - 11. Let t be h(-6). Let w(u) = -u**3 - u + 1. Let q be w(-2). Suppose -2*l - q = 1. Is t smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 = i, -2*y - 54 = 2*i. Let p = 21 + y. Let k(g) = -4*g**2 - 4*g. Let h(w) = -w**2 - w. Let t(c) = 3*h(c) - k(c). Calculate t(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137007235.\nAnswer: 5, 27401447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 306 = 528. Let x(m) = l*m - 834*m + 2*m**2. Let j(n) = -8*n - 2. Calculate x(j(z)).\nAnswer: 128*z**2 + 64*z + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/4)\/((-12)\/(-32)*-2). Let u be (-6)\/(-21) + (-4)\/(-28)*5. Sort i, 4, 3, u in decreasing order.\nAnswer: 4, 3, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 2. Suppose -3*p = -3*y + b, 3*p + 3*y - 6 = 5*p. Solve p = 3*s - 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12507 = -g, 56 - 68 = -2*g. What are the prime factors of t?\nAnswer: 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486816 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 3*d. Let n be o(-2). Suppose 0*q - n*q - 8 = 0. Let l(p) = p + 1. What is l(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(4 - 5*f**2 - 4) + 3*f**2 - 5*f**2 + f**2 - 409*f**2 + 9*f**2 + 714*f**2.\nAnswer: 308*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**1)*g)**43\/(g**2*(g**(-1\/9)*g*g)\/g) assuming g is positive.\nAnswer: g**(-413\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2*3 - -5*-4*sqrt(931))**2.\nAnswer: 282796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 7 + -7 + -6 + (30 - -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 27 = 7. Let i = -3 + n. Suppose -3*m + 50 = i*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9*g + 12*g - 31*g + 6. Let t(i) = i**2 - i + 1. Let r = 21 + -15. Let v(p) = r*t(p) - a(p). What is the second derivative of v(m) wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 74?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)\/i*i**(4\/3)*i**(-9)*i\/i**(9\/5) assuming i is positive.\nAnswer: i**(-277\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1461 + 142*h - 76*h**2 + 1509 - 142*h to the form y*h**2 + g + l*h and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 295897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.49923t to milligrams.\nAnswer: 81499230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 88*i + 18. Let h be b(88). Solve -2*p = 4*g - 8, 3*p + 14 = -4*g + h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-76)\/6)\/((-7)\/21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 348 + 2045. List the prime factors of d.\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -13\/2, 2\/9, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 270 - 270 + 52*t - 3 + 3 - 2*t + (0 + 4 - 3)*(1 - 1 + t) to b*t + h and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 + 28 = -12*k. What is the remainder when 8852 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -101*l**2 + 4. Let q(s) = -3*s**2. Calculate y(q(h)).\nAnswer: 606*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -250255 at most -8.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -1102985.2 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -13)*(468\/8)\/13. Suppose -26*j - 28 = -30*j. Suppose l*q - j = 53*q. What is the remainder when 24 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21110 + -2?\nAnswer: -21112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-2)\/(-40))\/(1533\/(-584)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 8*c - 2. Let o be d(7). Let j(s) = -s**3 + 5*s**2 + s. Let h be j(o). Suppose 0 = -h*a, -22 = 2*k + 3*a - 58. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 4*c**2 + 5*c + 4. Let g be y(-5). Suppose -k + 63 = -g*z, 2*k - 4*z - 157 = -k. Let b = k - 28. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.54 plus -968144397?\nAnswer: -968144395.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128351 or -128338?\nAnswer: -128351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 13*q = -1620. Does 24 divide (-3)\/2 + q\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -331?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 + 62. Let i = 78 + h. Let n = -34 - i. What is the lowest common multiple of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)*t*t**(-2\/17)\/t)\/(t**(1\/2))**(-42) assuming t is positive.\nAnswer: t**(304\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -177713, -177713, -177689, -177629, -177521, -177353?\n\"Answer: 2*s**3 - 14*s - 177701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-7)*(-21 + (-196)\/(-8)). Let o be 1*6\/2 - 1. Solve -o*r - l + 20 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**3 + 14*a**2 + 121*a. Let u(l) = 2*l + 9. What is 3*i(q) - 8*u(q)?\nAnswer: 2*q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -91 (b) 4 (c) -0.2 (d) 10 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(187)\/(-4*sqrt(11))*-3 - sqrt(187)\/(sqrt(11) + 2*sqrt(11)*-3))**2 + 1).\nAnswer: 19611\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78*h**2*k**2 + 150*h**2*k + h*k**3 - 554053*k**3 wrt h.\nAnswer: 156*h*k**2 + 300*h*k + k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 1273?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + g - 4 + 0 = 0, 8*o - 5*g = 134 + 110 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5597 + 5596. Let m = -0.1 - -0.3. Put m, -0.4, f, -4\/3 in ascending order.\nAnswer: -4\/3, f, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 568.22 - 568. Let d = 94.22 + -96. Let s = n - d. What is the second smallest value in 2\/7, 5\/2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t - 6 = 0. Let y be t\/5 + (-516)\/(-10). Let w be y\/48 - (-2)\/(-6). What is the closest to 0 in 1, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(49)*-2 - sqrt(98)\/sqrt(2)*6)\/(6*(1*sqrt(700) + sqrt(700))*1).\nAnswer: sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**3 - 31*a**2 + 22*a - 6. Let o(g) = -3*g**3 - 16*g**2 + 11*g - 3. Let l(x) = 7*o(x) - 4*z(x). Let b be l(11). Let h = b + 442. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 888 and 10624.\nAnswer: 1179264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4454*u**5*w - 16*u**2 - 8*w + 1 wrt u?\nAnswer: -267240*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f + 29*f + 4108 = 0. Does 42 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-325)\/(-10))\/13)\/((-156)\/(-6)))\/5.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2 (c) 0.5 (d) 27.77 (e) 0.3 (f) 0.09 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33) - -1*sqrt(33))*-5)\/(sqrt(240)\/sqrt(5)))**2 + 3.\nAnswer: 287\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-56)*-14)\/(39\/12)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -3*r + 6. Suppose 0 = -2*m - 5*f - 5, -m = -2*m + 3*f + 3. Sort m, 2, r, 1 in decreasing order.\nAnswer: 2, 1, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394866?\nAnswer: 2, 1197433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55303149 to the power of 1\/2, to the nearest integer?\nAnswer: 7437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 1710*y**3 - 2*y**4 + 746*y**3 + 0*y**2 to the form s + q*y**4 + w*y + a*y**3 + z*y**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2071395.\nAnswer: 3, 5, 191, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103452*a*x**3 + 72*a*x + 1836*a wrt x?\nAnswer: 620712*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -3*a**2 + 6. Let x be i(-4). Suppose 5*q = q + 4*n + x, -4*q + 18 = 2*n. Calculate the highest common factor of 45 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11.6 times 0.0148\nAnswer: 0.17168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-12)*(-2)\/3. What is the closest to -2 in w, 4, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = 14*c + 5*t, -4*c + 1899*t + 29 = 1896*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21148 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.353 and 1.\nAnswer: 1.353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + 4 - (-15 + 12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -633 + 647. Calculate the remainder when 319 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1887*t - 7549. Determine h(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1537*h - 45. Is 32 a factor of c(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 724980 and 1739952.\nAnswer: 8699760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000658335 to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12672 and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (90 + 8 + 31 + -59)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3295752 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 588*l = 589*l - 38, 2*h - 5*l + 10 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 178624 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5137 + 5224. Solve p*t - 41*t = -414 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 10*f**2 + 3*f + 10. Let h(v) = -4*v**3 + 30*v**2 + 10*v + 30. Let c be 7*(1 + -2)*1. Let p(m) = c*x(m) + 2*h(m). What is p(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 162824, 162821, 162830, 162857, 162908, 162989?\n\"Answer: b**3 - 10*b + 162833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y - 1. Let u be m(1). Let l be 870154\/u*(-3)\/(-2). Suppose 1714923 = -5*h - l. What is h rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 = 4*r + 2*m, -6 = 4*m - m. Suppose 0 = 8*t - 5*t - r. Let h = 47 - t. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**2. Let n(t) = -400*t**2 + 11*t - 4. What is n(m(z))?\nAnswer: -1600*z**4 - 22*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4529620084478 + -4529619144582.2590516. Let g = c + -939896. Let l = -0.259 - g. Round l to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2)*(-15)\/90?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, v: 4, w: 1, z: 2}. What is prob of sequence vggv?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5, -2*j + j + 4*h = -118. Let v(z) = z**3 - 8*z**2 + 2*z + 5. Let f be v(6). Let a = j + f. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -39*x + 2. Calculate w(3).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125268.\nAnswer: 2, 3, 11, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 75*t - 69*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -d - 5*z + 6*z, 2*d = 3*z - 17. What is the closest to -1 in d, -0.03, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 46 + 8*b + 58 + 50 - 154. Let l(i) = -6*i - 6. What is h(l(u))?\nAnswer: -48*u - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1074, 9226, 31378, 74538, 145714, 251914, 400146, 597418?\n\"Answer: 1168*n**3 - 8*n**2 - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4917976 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -231011 (base 4) in base 16?\nAnswer: -b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 39, 43, 47, 51, 55, 59?\n\"Answer: 4*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64731000 rounded to the nearest 1000000?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186970205 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -3 - (-14 + 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -2227*q**6\/60 - 6433*q**3\/6 - 2*q**2 + 2*q + 18. What is the first derivative of l(k) wrt k?\nAnswer: -13362*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 8 = -2*q, -4*q + 12 = 2*y - 7*q. Suppose d + 233 = 4*z, y = 4*z + 5*d - 61 - 166. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (6 - 3) - (-52 - (33 + -5 + 7))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -8*c - 2. Give i(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejjjejjjjee. Give prob of sequence jeej.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydjjyjdjj. What is prob of sequence yjy?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 x, and 1 j when three letters picked without replacement from xjxjxxyusxjj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 33*l - l. Let c(p) = 86*p - 68*p + 5 - 4. Determine c(l).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w + 2965 - 2895 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -20*d - 85. Calculate the lowest common multiple of t(-7) and (7\/(-1) - -8)*80\/2.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**5\/90 + 7*f**4\/27 + f**3\/27 - 14*f**2\/9 - 38*f. What is z in d(z) = 0?\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmhhdhmhdhmhdhmh. Give prob of sequence ddhm.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, y: 2, e: 2, h: 3, d: 1, f: 8}. What is prob of sequence hdf?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.25809 rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**5\/20 + q**4 - 13*q**3\/6 + 3*q**2 - 2*q - 2. Calculate the lowest common multiple of r(-13) and 21 - 1 - 0 - 0.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 0*y + 3*y)*(4*y + 6*y - 5*y + 2)*(-y + 3*y + 0*y)*(281 - 468 - 132 + (-4 + 7 - 1)*(2 - 1 - 2)) in the form j*y**3 + p + i*y + s*y**2 and give s.\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058987353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(20\/(-45))*80\/60\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {r: 2, d: 3, m: 3}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcho when four letters picked without replacement from hhoohhhhchhphohho?\nAnswer: 11\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 1 z when three letters picked without replacement from zikkkkktwwmtztz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 10\/3*p**3 + 2*p**2 + 0 + 19*p. What is the hundreds digit of t(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -5 (b) -50907 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144160105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.133, 304420 in increasing order.\nAnswer: -4, 0.133, 304420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -950 - 663 + 2969*z - 534 - 842 - 560 wrt z?\nAnswer: 2969","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -678 - -680.89. Let y = 0.11 + v. Which is the third biggest value? (a) -1 (b) 2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585890743 to the power of 1\/3, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13291 - -13290. Which is bigger: -12\/2735 or m?\nAnswer: -12\/2735","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2. Let b(u) be the second derivative of 0*u**3 + 0 - 5*u - 1\/12*u**4 + 0*u**2. Give d(b(t)).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6420 + 4*b + 6417 - 12837. Let x(s) = 133*s. Calculate x(a(n)).\nAnswer: 532*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 19*v**2 - 18*v - 19. Calculate l(-20).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009112 to four dps.\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2525572 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 + 916 = 62*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -36. Let m = 19407490 + -19407450.999876. Let k = j - m. Round k to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -4 - 0) + -2 + -16\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*q**2 + (-1 + 2*q + 1)*(-5*q + q - 6*q))*(q + 0*q + 2*q).\nAnswer: -69*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, -11.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 189181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:39 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 44*w**2 + 6*w - 6. Let h(n) = -7*n**2 - n + 1. Let l(q) = -6*h(q) - i(q). Let t(c) = 4*c**2 + 397. What is t(l(z))?\nAnswer: 16*z**4 + 397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69\/8? (a) 10566 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/16131 - -2258306\/274227. Let w = -3871\/340 + x. What is the common denominator of -99\/4 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*o + 112. Let b be (-4272)\/7 + (-16)\/o. Round b to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*r + 14 - 139, -2*r = -3*u + 75. Calculate the least common multiple of 150 and u.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470228*5\/240*12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/16 - 8)*-2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 8:09 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*z**2 - 806*z - 813*z + 1606*z to the form h*z**2 + a + f*z and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2689*m**2 + 7 - 2897*m**2 - 13.\nAnswer: -208*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a + 3. Let x(l) = 15*l - 19. Let c(g) = -1. Let n(d) = -3*c(d) + x(d). Calculate -2*n(h) - 11*q(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l - 3*l + l**2 + 49*l**3 - 47*l**3 in the form j*l + n*l**2 + a*l**3 + o and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*j**3 - 82*j**3 + 158*j**3 + 3*j + 2*j**4 - 1 in the form p*j**2 + b*j**4 + m + n*j + i*j**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 8:03 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-4))\/(-9)*6\/(-2). What is the common denominator of n\/5 + 474\/(-105) + 4 and 41\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 64863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 44 = 4*w. Let q = 3 + 0. Solve -q*g + 4 = -w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213*b + 3608 = -1244 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 25786*s + 1162404. What is i(-45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.477 take away 22608?\nAnswer: -22612.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -4, -1, 1\/3, 3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4507 - -0.9507. What is the third biggest value in 5, 4.04, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 23, 28, 31, 32, 31?\n\"Answer: -f**2 + 10*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 2006.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*v + 4*b - 2*b = -162*v - 5, -179 = -5*v + 74*b - 26 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 793 and 101595.\nAnswer: 80564835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 2*n**3\/3 + 3*n**2\/2 - 8*n + 1. What is the units digit of z(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 2*s = 16, -2*s - 3*s - 17 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157799 is divided by 5035?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17544383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1838 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.99999904. What is o rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 527, 791, 1055?\nAnswer: 1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbkbbbbbbsbbbbbb. What is prob of sequence bkks?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/10*(7 + -9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, 9, 22, 35?\n\"Answer: 13*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/165600 and 59\/4968.\nAnswer: 496800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/45 - (-56654)\/6. Let i = s - 113227\/12. Calculate the common denominator of -11\/27 and i.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 231 and 2376.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003744322 rounded to six decimal places?\nAnswer: 0.000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.091 - 0.091. Which is bigger: y or 0.03?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 189, 489, 903, 1431, 2073, 2829?\n\"Answer: 57*a**2 + 129*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4 - 204*k**3 + 1168*k**2 + 34944*k + 108544 = 0. What is k?\nAnswer: -106, -8, -4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11902320 divided by -2975580.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/21 - (-66)\/14. Solve 0 = -5*w + 3*b, -3*w = 4*b - p*b - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-903)\/(-5635) - 6\/(-105).\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6886933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 5. Is -62*(d\/2)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103121 - 1103020?\nAnswer: -444344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171 and 2566631511?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47b8 - 8?\nAnswer: -4804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61062354, 122124707, 183187060, 244249413, 305311766, 366374119?\n\"Answer: 61062353*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + 2 + 1 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 5*z + 2. Let n(x) = x**2 - 3*x. What is n(h) - t(h)?\nAnswer: -h**2 - 8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18, 32, 56, 90, 134, 188?\n\"Answer: 5*g**2 - g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**8\/8960 + y**7\/3360 - y**6\/192 + 3*y**5\/160 - 5*y**4\/24 - 23*y**2. Let k(r) be the second derivative of l(r). Factor k(u).\nAnswer: 3*(u - 1)**2*(u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1105*s + 16296 = -818*s + 1244*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2727*a**3 + 36*a**2 + 33*a - 13806. Let b(q) = -545*q**3 - 7*q**2 - 6*q + 2761. Let v(l) = 11*b(l) + 2*c(l). Differentiate v(g) with respect to g.\nAnswer: -1623*g**2 - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4332, 8669, 13010, 17355, 21704, 26057?\nAnswer: 30414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 s when four letters picked without replacement from dsdddgsdgssdsgdgdsd?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*d**3 - 6 + 43 - 91 - 560*d**3.\nAnswer: -2*d**3 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*c + 35, 3*c + 5*m = 3*m + 25. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331032781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-2 - -16)) + 175 + -170?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2. Let k(x) = -45*x**2 + 5*x + 8. Let f(o) = -30*o**2 + 3*o + 5. Let a(y) = 8*f(y) - 5*k(y). Give c(a(r)).\nAnswer: -675*r**4 - 90*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 5*u = -10, -191*n + 189*n = 4*u - 1 + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 6*n - 6 = 3*t, -4*t - 34 = 6*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3359498067.\nAnswer: 3, 373277563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425*j**2 + 565*j**2 + 959*j**2.\nAnswer: 1099*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m + 5. Let a be b(2). Suppose -11*o = -a*o + 6. Solve 4*s = 4*v + 4, 4*v + o - 1 = 5*s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/9 - 28\/126)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 0*s + 3*s - 161, 6 = -2*s. What is the remainder when f is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/3584 and 79\/14336.\nAnswer: 14336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -632842 (base 11) to base 4.\nAnswer: -3313202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1225 - 1225.1. Sort 20, w, 3, 2.\nAnswer: w, 2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 153. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -2\/593, 3, 3\/5, 4 in decreasing order.\nAnswer: 4, 3, 3\/5, -2\/593, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 + 27307953 - 27307953.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327 by 51.\nAnswer: -109\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1741261 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 287744953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)\/i*i**(-3\/11)*i**(-17)\/i*i\/(i**(-5\/11)*i))**21 assuming i is positive.\nAnswer: i**(-5271\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -16 + -11 + (2 - 4) + 6\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 5*r + 2. Let j be c(-7). Let s = 67 - j. Suppose 5*w = s*w - 2*d + 76, 5*w - 115 = -d. Calculate the remainder when w is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*k + 42*k - 4*k**3 + (-k + 0*k - k)*(-2*k + 2*k**2 + 2*k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1203766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 56 - 27 - 8*h**3 - 28. What is t(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -6*p**2 - 56*p + 14. Give j(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(48) + sqrt(3)) + -4*(sqrt(17) - sqrt(1700)).\nAnswer: 181*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2935*m**3 + 1795*m**3 + 2645*m**3 + 1782*m**3.\nAnswer: 3287*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*v + 6. Suppose 89 = 4*i + 4*z - 15, -4*i - z + 116 = v. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d. Let o(m) = 7*m - 7. Let w(t) = 3*t**2 + 14*t + 7. Let a be w(-4). Let x(r) = a*o(r) - 5*v(r). Let b(p) = -2*p - 5. Give 7*b(n) + 5*x(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-28) + 2\/7 + -1. Let d = r - 4. Is ((-4)\/6)\/(d\/(30540\/8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -24, -30, -38, -48?\n\"Answer: -u**2 - u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -584.4849078 rounded to the nearest ten?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -f + 23, 2*f + 2*f + 8 = -5*w. Let g(u) = 7*u**2 - 3*u + 3. Let l(z) = 76*z**2 - 32*z + 32. What is f*l(c) - 32*g(c)?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 47*b - 43*b + 12557 = 0, 0 = 3*i + 9*b - 12570. Calculate the greatest common factor of 53 and i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -283\/5, 1 in ascending order.\nAnswer: -283\/5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -e04e5 (base 15) in base 7?\nAnswer: -6014402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*w = -129*w + 3970211. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/10 + -1\/5. Let h = 3.84 + 0.16. Sort h, 5, b in decreasing order.\nAnswer: 5, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**3 - 117*r**2 + 4*r - 17. Calculate a(-16).\nAnswer: -1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 6:51 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9104 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 366*r**2 - 117*r - 42817. What is k(-366)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 6*k**2 + k + 1. Let s be t(-6). Let y(w) = -2*w**2 - 5*w + 7. Let p be y(s). Let h = p - -18. Solve -u + 5 = -h*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6485 - 6934.8. What is o rounded to the nearest ten?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**4 + 8*w**3 + 136*w**2.\nAnswer: -48*w + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z - 5. Let y be v(-5). Suppose 4*j - 3*k + 5*k - 6 = 0, -4*j - k = -5. Suppose -2*x = -5*a + 3*a + 54, 4*a + 4*x = 84. Solve -j = y*o + a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 13) to base 9.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 10:12 AM?\nAnswer: 10:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 10:15 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9337 + -9337. Let a(y) be the first derivative of 0*y**5 - 8*y**2 - 1\/3*y**6 + 0*y - 22 + h*y**3 + 0*y**4. Find the second derivative of a(s) wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15704*x - 15683*x + x**3 - 20*x**2 + 20*x**2.\nAnswer: x**3 + 21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 12, -181.\nAnswer: -181, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 659*t**3 - 276 wrt t.\nAnswer: 1977*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182084 by -16.\nAnswer: 45521\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1270*s**2 - 1256*s**2 - 2*s**2.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by (-30 + -5)*(-2 - 21\/(-15)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00723378188 to 4 dps.\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -f78 (base 16) to base 12\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12145)\/204036)\/((-10)\/(-3))?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43537316*t*w + 7*t - 475555977*w wrt t?\nAnswer: -43537316*w + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.558 and -2?\nAnswer: 1.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -76, -154, -264, -406, -580?\n\"Answer: -16*b**2 + 2*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34821155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 - -7409. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence crm when three letters picked without replacement from iyyiirtmcyyy.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862.233g in nanograms?\nAnswer: 2862233000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 307, 4, -2, -5, 10, 1781.\nAnswer: -5, -2, 3, 4, 10, 307, 1781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -4. Let d be o*(0 - (-1)\/(-21)). Let z = 0 + 0. Which is smaller: z or d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -1274*t**3 - 39839*t**2 + 73389*t + 22770 = 0?\nAnswer: -33, -345\/1274, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufbwubbudaub. What is prob of sequence fua?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/536 and -47\/13333.\nAnswer: 106664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14944.3 take away -5?\nAnswer: 14949.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19633413?\nAnswer: 3, 43, 152197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -610 + 802. Suppose -5*r - 204 = -w, -r = -w + 2*w - k. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0672451 to 3 decimal places.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 558*a**5*j - 82*a**2*j wrt a?\nAnswer: 33480*a**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/3 - 7*w**2\/2 - 5*w - 3. Let i be k(8). Let u be 2\/i - (-6666)\/(-9). Round u to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - i + 13, -i + 5*i - 20 = 0. Let s = 8 - 12. Let f = d + s. Does f = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -43, -58, -91, -148?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h**3 - 99*h**2 + 99*h**2.\nAnswer: 35*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 divided by 76.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 12. Let b(d) = d + 13*d - 17*d. Calculate b(u(t)).\nAnswer: 9*t - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzz when three letters picked without replacement from {u: 1, z: 2, q: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12696 and 1?\nAnswer: 12696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + 14\/(-2) + (-165 - 3). What is the tens digit of (u\/(-105))\/((-4798)\/1600 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1647, -6832, -15557, -27822, -43627, -62972, -85857?\n\"Answer: -1770*d**2 + 125*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(209) + (sqrt(209) + (sqrt(209)*3 + sqrt(209))*-6 - sqrt(209) - sqrt(209)) + sqrt(209)))\/((sqrt(550) - sqrt(22))\/sqrt(2)*3).\nAnswer: 23*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*q**4 - 715*q**2 - 1148*q**6 + 7*q**4 + 354*q**6 wrt q.\nAnswer: -95280*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -149 + 190077\/1275 + (-1448)\/(-25).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 12, a: 6}. What is prob of picking 3 e?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**4\/4 - 25*l**3\/6 + 24*l**2. Differentiate w(q) wrt q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -0.07852.\nAnswer: 3.07852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 - -108. Suppose 3*n - 2*n - c = 0. Suppose -n*v - 60 = -17*v. What is the remainder when 19 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.5 and 0.071187?\nAnswer: -0.5339025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 292012*i**2 - i + 542854 wrt i.\nAnswer: 584024*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdca when four letters picked without replacement from ccmafdm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38852996323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, x: 2}. What is prob of sequence xfx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -175.6 (b) -1.6 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 273 + -158. Suppose 4*t + p = -69. Let n = t - -47. Calculate the highest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001165 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588277 is divided by 147040?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v - 2*v)*(7 - 4 - 4)*(-175 + 13 + 26).\nAnswer: -136*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x + 3*x + 2*x. Suppose -2*w + 4 = 3*a - 6, 5 = w - 2*a. Let q(j) = w - 5 + j. Calculate f(q(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7443 - 1?\nAnswer: -7444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 148*g**3 - 70*g**3 - 74*g**3.\nAnswer: 4*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 5 = 2*x. Suppose -5 = c + 4*n - 33, -3*c - 4*n = -44. Suppose 3*p = c + 58. What is the least common multiple of p and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2173?\nAnswer: 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2372 times -0.370367\nAnswer: 878.510524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-2)\/(10\/25). Suppose -3*t - 2*w = -0 + 3, -5*w = -t + 16. Put t, o, -10 in descending order.\nAnswer: o, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/23616 and -73\/4440?\nAnswer: 4368960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -102.40342 to 1 dp.\nAnswer: -102.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -923*x - 44937 - 14874 - 13106 = 0 for x.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71527041107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (76\/(-95)*385\/44 - 15).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 397, -18, 11 in decreasing order.\nAnswer: 397, 11, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/42975 and 17\/27250.\nAnswer: 46842750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*w = 208, 6*n = 3*n + 4*w + 122. Suppose n*g + 1281 = 45*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 53*x**2 + 6*x - 6. List the prime factors of a(-7).\nAnswer: 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.067 - -0.067. Which is the biggest value? (a) s (b) 4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)*(b**(-6\/23)*b)\/b*b**(-6\/17)*b**(-11))**(-10) assuming b is positive.\nAnswer: b**(49320\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = j - 2, -172 = -2*t - 12*j + 6*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10016.414 - -10034. Let g = f + -0.086. Let n = -17.5000077 + g. Round n to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.11 (c) 0.3 (d) 202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -7*s**5\/10 - 10*s**2 + 5*s. Differentiate j(r) wrt r.\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((290\/(-50))\/29)\/((-4)\/12 - (-14)\/(-60)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -4106151?\nAnswer: -4\/4106151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/11 + 21060*t**3\/11 + 73983672*t**2\/11 + 86929678332*t\/11 + 776389767174\/11.\nAnswer: 2*(t + 9)*(t + 3507)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4092798 divided by -499?\nAnswer: -8202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(45)\/(sqrt(6)\/sqrt(2)) + sqrt(15))\/(sqrt(12)*5).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 1309*l - 97050. Determine u(-570).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4557 divided by -93.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + r = 65, 4*a = 2*r + 72 - 20. What is the remainder when 246 is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -277 + 212 - (3 + -4 - 3 - (3 + 0))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - q - 3*q)*(q + 2*q - 2*q) - 2334*q**2 - 1635*q**2 + 2289*q**2 in the form j + d*q**2 + k*q and give d.\nAnswer: -1682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 2632*n**2 + 352308*n.\nAnswer: 4*n*(n - 471)*(n - 187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6*2\/(-8))\/((-105)\/30). Let t = 268 - 268.06. What is the fourth smallest value in 0, t, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317.903970532 plus -250?\nAnswer: -567.903970532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - p = p - 128 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71442.03 nanograms to tonnes.\nAnswer: 0.00000000007144203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -96) + 1 - (-118 + 115 + -5).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -13*u**3 + 587*u**2 - 1091*u - 6. Let l(j) = 2*j**3 - 4*j**2 - 2*j + 1. Let p(z) = -5*l(z) - n(z). What is the second derivative of p(s) wrt s?\nAnswer: 18*s - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-4)\/(-124)) + -1. Let a be 10\/u + 4\/(-6). Which is greater: a or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 100101010010?\nAnswer: 100101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (3*sqrt(72))**2 + 0 + sqrt(288).\nAnswer: 13*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70962 is divided by 2389.\nAnswer: 1681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - (-1 - -4))*(-6)\/4. Let k(t) = -t**3 + 6*t**2 - 7*t + 6. Let u be k(4). Let q = f + u. Sort 0, 3, q in ascending order.\nAnswer: 0, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 2:11 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**9\/2352 - z**8\/3920 + z**7\/980 - 5*z**3\/2 + 41*z. Let i(c) be the second derivative of v(c). Factor i(k).\nAnswer: -3*k**3*(k + 1)*(3*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7376033 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 704102533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 20, 2*b + k - 664 - 1742 = 0. Solve 2*h - 1207 = -b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2, -0.3, -10\/3.\nAnswer: -10\/3, -0.3, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 10 = 7*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(0*a + 3*a - 2*a)*(14 - 2 - 1)*(992 + 1100 - 2301).\nAnswer: 2299*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -805, -3054, -6813, -12088, -18885?\nAnswer: -27210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. Find the third derivative of -2*g**2 + h*g**2 - 2*g**4 - 4*g**2 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -383*d**2 + 11*d + 12*d - 1 - 23*d + 0 as o + x*d**2 + h*d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1122 and -71\/51.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*378468.\nAnswer: -1892340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 - (-5 + 12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 + 5*o - 4. Let d be -1 + ((-11)\/(-5) - 8\/40). Let r be b(d). What is the third derivative of x**2 - r*x**2 - 5*x**5 - 32*x**2 + 15*x**5 wrt x?\nAnswer: 600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (1 - 0 - -2). Let d = -4 - r. Suppose 3 = 3*g + 5*u, 2*g - 5*g + u + 3 = d. Do 1 and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 10. Calculate u(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -337, -327, -319, -313, -309, -307?\n\"Answer: -g**2 + 13*g - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111538*j**2*s**2 + 1529*j**2*s - j**2 + 605*j*s**3 + 2436*j + s - 15 wrt s?\nAnswer: -223076*j**2 + 3630*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*q - 27448 = 0, 17694 = 4*p - q - 9754. Does 83 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23075 by -5.\nAnswer: -4615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 3)\/(-2 + (-35)\/(-10)). Suppose -4*x = 2*m + 16, -y*m - 5 = -x + 1. Suppose 0*l - l = -k - 7, k = -3*l + 5. Put k, x, 3 in increasing order.\nAnswer: k, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 153384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4392 and 12?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 - 29*o + 20. Let g(d) = -d**2 - 7*d + 5. Let t(i) = -9*g(i) + 2*s(i). Give t(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5 = 5*g. Suppose -h + 2 = g. What are the prime factors of h\/1 + (8 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 250 divide 123378160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:47 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0701 + -3.1701. Let s = 488 - 490.93. Let q = z - s. Put 0.4, 5, q in ascending order.\nAnswer: q, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 5*n**2 - 7*n - 4. Let g be k(-4). Solve 2*d + 0*d = -g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 + 100*c + 98 = 0?\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 2*w + 4. Let y(r) = r. Let l(f) = a(f) - 2*y(f). Let s be 4\/26 + (-25728)\/(-78) + -5. Let u = -322 + s. Determine l(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -195*p + 19*p + 1710722 + 5419918. List the prime factors of p.\nAnswer: 3, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + t**2 - t. Let p(f) = -278*f**3 + 4*f**2 - 2*f. Let x(z) = -3*i(z) + p(z). Let w be x(-1). What is the highest common factor of w and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 3 + 8 + 14 to i*w + s and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h = n - 31, -4*h = 5*n - 143. Let l = -68 + 38. Let x = l + n. Let o(b) = 2*b - 3. Give o(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 3:40 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 685080.\nAnswer: 4795560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -5*y**3\/3 - y**2\/2 + y - 1506. Determine t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 33143 + 19984 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 2*y)*((3 - 2 - 12)*(2 - 2 - 6*y) + (2 + 2*y - 2)*(-5 + 4 - 1) + y - 3*y + 3*y).\nAnswer: 63*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 12, 15*v - 11*v + 34 = 3*g for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051 times 0.81?\nAnswer: 0.04131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 103 = -27. Let b be i\/(-7) - 20\/(-70). Let m(a) = 4 + 3*a - 7 + b. Let v(l) = -2*l. Determine m(v(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 12, -13 in decreasing order.\nAnswer: 12, -13, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -3, -40, 3, 1569 in descending order.\nAnswer: 1569, 3, -3, -40, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 - 2*n**3 + 5*n**3 + (72*n**2 - 135*n**2 + 91*n**2)*(-141 + 130*n + 141) - n**3 - 3*n + 3*n to the form z*n**2 + c*n + t*n**3 + h and give t.\nAnswer: 3640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1296422894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**4\/24 - h**3\/2 + 12*h**2 - h. Let f be i(6). Solve f*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 18 - -19 - 8) + (2 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43827 divided by -21.\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1055 is divided by 82?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by 55\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*v + 16. Suppose -7 + v = -o. Which is greater: 4\/13 or o?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 91 (base 12) to base 14\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -86 (base 10) to base 9\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 1 - (8 + -14 + -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 0*q = -4*q - 6, 5*q = p - 72 + 44 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/113 - -3043\/452. Calculate the common denominator of s and 67\/92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -17*m - 269. What is k(-23)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(234\/(-84))*(-37)\/((-117845)\/630)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 10 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9497 + 2247 = 1468*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)\/sqrt(108) - sqrt(45)) + (2*sqrt(135))\/sqrt(3))\/((2*sqrt(900) - sqrt(900))*3).\nAnswer: 2*sqrt(5)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 362219881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 + 5*g**3 - 2*g**3 + 2*g**2 + 67*g - 2*g**3 - 66*g to a + i*g**3 + w*g + y*g**2 and give a.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-4)\/(16\/98). Let w be (-14*7\/o)\/((-2)\/(-26)). What is the greatest common divisor of w and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y + 130 = 0. Suppose 9*p - 8*p = 2*q - 105, 5*q - 243 = -4*p. Calculate the remainder when q is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v**3 - 113*v**2 + 18*v + 149. What is g(11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n - 126. Determine v(-16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/20)\/((-451)\/205)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43779160.\nAnswer: 2, 5, 43, 25453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.00181 + 0.0027. Round u to four decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -879*c + 3 + 2917*c**4 - 3 + 37*c**2 - 2923*c**4 wrt c?\nAnswer: -72*c**2 + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) -0.5 (b) 4\/3 (c) 0.05 (d) -4 (e) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 110*s**2 - 7*s - 5. Let a(r) = 109*r**2 - 6*r - 4. Give -5*a(l) + 4*n(l).\nAnswer: -105*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.5. Let m = -1.0868 - -23.0868. Which is bigger: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0722937 to four decimal places.\nAnswer: 0.0723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3267 + -3268. Is j equal to 1\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (7 + -7 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.7845912 rounded to two dps?\nAnswer: -18.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4\/5, -4, -10, -13, 8.327?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 11*m - 6. Let y be w(11). Let n be (244 - (-2 - 0))*(-3)\/y. Suppose -n = 3*v - 1128. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 94 = a, 5*a - w - 2*w - 504 = 0. Suppose 2*p + a = 5*p. Calculate the remainder when p is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 - 119. Let o be (j\/32)\/(-1 + (-33)\/(-24)). Suppose 0 = -o*a + 4*a - 80. What is the greatest common factor of a and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwtwtwt. What is prob of sequence twtw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3969465 is divided by 213?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1928, 1948, 2004, 2114, 2296, 2568?\nAnswer: 2948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 2384 = 20*a. Let c = a + -306. Let h = -4057\/14 + c. Is h at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(-1 + sqrt(147)*1) + (sqrt(147) + 4*(sqrt(147) + 2 + sqrt(147)))*5 + -1)**2.\nAnswer: 27636*sqrt(3) + 326487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(4\/(-6))*(-16)\/(-6). Suppose -2*z = t, v - z - 10 = -4*z. Calculate the lowest common multiple of 8 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 814 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 8*k**2 - 13*k + 5. Let n be f(-6). Let g(c) = n*c**2 - 25*c**2 + 12*c**2. Let z(a) = -5*a. What is z(g(m))?\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1621210895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4871 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1. Let a(t) = 9*t**2 + 4. Let r(f) = -a(f) + 4*b(f). Let n(g) = 6*g - 5. Let p(z) = -3*z + 3. Let v(q) = -3*n(q) - 5*p(q). Give r(v(c)).\nAnswer: -81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -25*i**4 + 21*i**3 + 29*i**2 + i - 15. Let s(q) = -q**4 + q**3 + q**2 + q - 1. Let f(m) = 2*h(m) - 22*s(m). Let f(w) = 0. Calculate w.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + g = 2*m - 17, 0 = 5*m - 5*g - 25. Let x = 134 + -113. What is the least common multiple of m and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/68432 and -50\/429.\nAnswer: 2258256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-214)\/214)\/((-1)\/(-8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 126*t - 101. Is 116 a factor of x(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/3)\/((-5)\/30). Let c = f + -21. What is the lowest common multiple of 5 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) -3\/5 (b) 3 (c) -3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d + 55. Let r = -115085 + 115088. Which is the third smallest value? (a) r (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/13)\/o)\/o**0)**28 assuming o is positive.\nAnswer: o**(-392\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1828)\/16909 - (-19)\/518?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1668082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from rlwlawwwqr?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 3, -13, -27?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -267 - -396. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 502, 499, 494, 487, 478, 467?\n\"Answer: -b**2 + 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/5)*a)\/a**(-5))\/(a\/(a**1\/a))**6*(a*a*(a*a\/(a\/(a**0\/a)))\/a*a)**12*a**(1\/7)\/(a\/a**0) assuming a is positive.\nAnswer: a**(803\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(208))*2.\nAnswer: 4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3147 = 93. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3065 + 20687. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = -28*w - 317 - 667 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/15 (b) 0.122 (c) -16\/5 (d) 2\/9 (e) 5 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.6 or 3\/281?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -17*d + 15. Let y be t(-7). Suppose -560 = -6*q - y. List the prime factors of q.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1397 = -3*c - i, 0 = 3*c + 3*i - 0*i - 1401. Suppose 5*g = -4*z - 181 + 553, c = 5*z + 2*g. List the prime factors of z.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003746166 rounded to seven dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 401551 * -78.\nAnswer: -31320978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/4 of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h - 5. Let j = 13 + -18. Let l be i(j). Suppose 8*w + 35 = 91. Solve -2*s = -2*q - 6, 5*s - q - 2*q - w = l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179520544 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -93.2 * 4\nAnswer: -372.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 992, 1227, 1462, 1697?\n\"Answer: 235*a + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 8*i + 0 - 4 - 2*i**2. Let g be w(-7). Is g <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7493\/7 + 1071. What is the nearest to 2 in u, 0.1, -23?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/sqrt(72) - sqrt(78)\/(sqrt(48) + sqrt(3)))\/(sqrt(16)\/(sqrt(32)\/sqrt(4)) - (-4*sqrt(2)*-3 + sqrt(2))) + 3.\nAnswer: -sqrt(13)\/90 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501586?\nAnswer: 2, 677, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1168 - -0.0168. What is the third biggest value in -1\/4, -28.1, f, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -5 - ((-14 - -25) + -14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 + 0.67. Let w = 0.04 + v. Let s = w + -0.7. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 15 = -k. What is the tens digit of k + (0 + 63)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + b = 6 + 3, 0 = -5*r - 5*b - 5. Let g be ((-8)\/(-30))\/((-10)\/15)*r. Solve -3*q - g = -17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**3\/3 - 6*a**2 + 22*a - 13. Let j be s(9). Is (1 + j)*33\/(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 7:05 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 825*w**2 - 72602*w + 170. Give x(88).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12*0.500854\nAnswer: 6.010248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 54939 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = -w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-21)*(-108)\/60\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4765395 - 2281313. Suppose 12 = -4*l, -4*l = 2*b - 3*l + 16676649. Let r = b - q. What is r rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.01 (b) -3\/4 (c) -27 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-6))\/((-85)\/(-34)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(-5)*o*(o**(1\/3)*o)\/o*(o\/(o*o\/(o\/(o\/o**(-5\/4)))))\/(o*o**(2\/11)) assuming o is positive.\nAnswer: o**(515\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k + 483. Determine b(67).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 6*l**2 - 4256*l - 25500. What is g(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjqje. What is prob of picking 1 j and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 3*i + 1. Let j(z) = -3*z - 7. Let w be j(-3). Let x be g(w). Let m(l) = l**3 - 2*l**2 - 4*l + 5. What are the prime factors of m(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -117, -161, -195?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1.8. What is the third smallest value in 1\/3, -0.2, l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-1) + 59130\/3942?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -122313412?\nAnswer: -122313415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -12*m**2. Let f(x) be the first derivative of x**4\/3 + x**2\/2 + 74*x + 141. Let k(a) be the second derivative of f(a). Calculate k(p(w)).\nAnswer: -96*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 7*j**2 + 5*j + 10. Let g be r(7). Let v = g - 95\/2. What is the common denominator of -79\/18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 4*t - 3. Let z = 18 + -16. Calculate v(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l - 6. Let v be 2*(3 - l\/((-24)\/20)). What is the third smallest value in 1\/2, 4, v, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1378*r**4 - 759 wrt r?\nAnswer: 5512*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + 1)*-6)**2.\nAnswer: 648*sqrt(17) + 49608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -106, -162, -220, -280?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331379.\nAnswer: 19, 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-5)*(-31290)\/168966.\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r**2 - 7 + 3 + 4. Let h(p) = -2*p. Calculate h(x(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, -1\/5, 2\/1221?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36 - -34)*(-1)\/2. What is the common denominator of u + 680\/(-30)*30\/(-16) and 2\/(-9)*834\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.074049 and 5.\nAnswer: 5.370245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 6 + 0 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009432311 rounded to 7 decimal places?\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 7*l + 0*l - 3*l. Let c(w) = 4*w. Determine v(c(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1901 - 70339\/37. Suppose 5*z + 5*v = -10, 5*z = -v - 8 - 10. Let r be (2\/z)\/(2\/(-4)). Is m less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/239010 and -163\/10230.\nAnswer: 2629110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2393*j + 653 + 656 + 1099*j - 1967 + 656 in the form r*j + h and give r.\nAnswer: 3492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30, -74, -118, -162?\n\"Answer: -44*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30013 (base 4) in base 13?\nAnswer: -478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 2*y**2 + 4*y - 3. Let k be w(2). Let g be 7\/k + 4\/(-10). Which is smaller: -2\/25 or g?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r**2 + 6*r**3 - 35*r**3 + 11*r**2 - 10*r**2)*(-31 + 5 - 28) to s*r**3 + c*r + w + p*r**2 and give p.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*a**4*i**2 + 51*a**3*i**2 - 7*a**2*i**2 - 5*i**2 - 4*i + 8 wrt a.\nAnswer: -1200*a*i**2 + 306*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239538?\nAnswer: 2, 7, 347, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, 5, 25, 63, 125?\n\"Answer: h**3 + h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76.3 + 73.3. Which is the closest to -1? (a) 2 (b) 3 (c) k (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in 5, 1\/2, -3\/2, -31, -2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 3*p = -21, -p + 0*p = 5*m + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:14 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 3768.\nAnswer: 33912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 156 (c) 2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1282)\/3)\/(4\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -75. Find the common denominator of (-4 - (-22)\/l)*16\/(-33) and -31\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (5 - -6)) + 8 - (0 - -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 3. Let j(c) = c + 4. Let o be j(-6). Let b(h) = -h. Calculate o*b(w) + y(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32157763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (17 + (10 - 28))*-11619.\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (-1)\/2 + 15\/(-30). Let t(k) be the second derivative of -3\/13*k**3 + 19*k + 0 + 0*k**2 - 1\/130*k**5 - 1\/13*k**j. Factor t(n).\nAnswer: -2*n*(n + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 16, q: 2}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (5 - (9 + -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2198936*c**5 - 3171592*c wrt c.\nAnswer: -43978720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**3 + 4*k**2 - 9. Let v(l) = -35*l**3 + 13*l**2 - 12*l - 1. Let z(p) = 6*p**3 - 2*p**2 + 2*p. Let t(a) = -v(a) - 6*z(a). Calculate -f(h) - 5*t(h).\nAnswer: h**3 + h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 10*k + 3. Let m(a) = a**2 - 9*a + 4. Let c be 2*1*3\/(-3). Let l(i) = c*s(i) + 3*m(i). What is l(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -201.8799984763 - -201.88. Round q to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 36990*v - 1107886. Give c(30).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1903 * 10.49\nAnswer: -19962.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51239781 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -315*h*p**3 - 88*h*p**2 - 274*h + 2005*p**3 + 40*p**2 + 81*p wrt h?\nAnswer: -315*p**3 - 88*p**2 - 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 755 + -3?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810678 is divided by 135112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/22 and -79\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.27 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2448 and 795064.\nAnswer: 243289584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7 = -6. What is the remainder when 25 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 1:24 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5370 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 26. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y + 44. What is the remainder when f(-7) is divided by -1 - (0 - (22 + -1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v + 2*v + 2*v + 0*v to the form g*v + d and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 80321 or 80318?\nAnswer: 80321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -3242?\nAnswer: -3242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**2 - 1. Let i = -3 - -6. Let o(w) = 4*w - i*w - w - w**2. What is o(x(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 2588 = 24548. Calculate the greatest common factor of 60 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i - 12. Let p be t(-6). Let a be 27\/p - 7\/(-2). Solve -15 = 5*r, 3*h - a*r - 6 = -0*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75 + 341?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5*z**4\/2 + 300065*z**3 - 98321340*z**2 + 8092168415*z - 15988294285\/2 = 0.\nAnswer: -120353, 1, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 3. Let y be w(7). Suppose -5*t + 53 = y*i, -5*i = 2*t + t - 50. Suppose -i*u + 136 = -5*u. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/(-75))\/((-235)\/(-30) - 8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4110821 is divided by 1370273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-385)*1)\/((-3)\/(-20))\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/120)\/((-10)\/8*2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufwufupwfuup. Give prob of picking 4 u.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 2331?\nAnswer: 2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27293 + -24098. What is the greatest common divisor of 360 and j?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f + 2*b = 26*f + 10, 2 = -3*f - b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14 - 1380\/(-21). Let n be (-13)\/(26\/(-8)) + (-4)\/(-2). What is the greatest common divisor of n and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 50*k - 125\/2*k**2 = 0 for k.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18815071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121316966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - -1 - (40 + 234\/(-9))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 6*g**2 - 4*g + 3. Let z(v) = v**2 - 4. Let s be z(-3). What are the prime factors of f(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 10*o + 3. Let k be h(10). Suppose 5*i + k = c + 2*i, 5*c + i - 95 = 0. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360179720 divided by -72035944?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -13 - 7. Suppose 0 = -3*a - 4*s + 61, f*s = 13 - 5. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**3 + 17*h**2 - 3*h + 23. Let o be p(-6). Put o, 3, 82 in ascending order.\nAnswer: 3, o, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18065071.\nAnswer: 1229, 14699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6826225 rounded to 2 decimal places?\nAnswer: 2.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65058*m**6 + 4*m**3 + 532474*m**2 wrt m.\nAnswer: 7806960*m**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 10*n**2 - 6*n + 8. Let u be k(2). Let t = u - 31. What is the smallest common multiple of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(87\/(-609))\/((-6)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f2 + -2b86?\nAnswer: -2c78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 2. What is y(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00176495318 to four decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(81)\/sqrt(9))*-1*-1.\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3332 divided by -2?\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -938*s**3 + 16169*s - 16169*s + 851*s**3.\nAnswer: -87*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 20 = -4*j, 0 = -4*j + f - 5 - 0. Suppose 4*k - 2*k - 24 = j. Let l be 100\/15*k\/10. Solve 2*d + 5*r - 3*r + l = 0, -d = 3*r + 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2276*h - 45121 = -48011 - 108634 for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 38*u - 2. Let h(x) = -25*x + 1. Let g(o) = 3*h(o) + 2*n(o). Let p(a) = -1. Let k(v) = 3. Let w(q) = -k(q) - 2*p(q). Give -4*g(d) + 3*w(d).\nAnswer: -4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257557985.\nAnswer: 5, 443, 116279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((4 + -2)\/1). Let f = -206\/325 - -12\/25. Which is the smallest value? (a) z (b) -0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -45*u**2 + 1076*u - 37. What is w(24)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 4 (c) -0.6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -11\/2*x**3 - 9*x**2 + 56 + x + 9\/20*x**5 - 3\/4*x**4 + 1\/10*x**6. Factor p(g).\nAnswer: 3*(g - 2)*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90 (base 11) to base 4.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 15. Let x = 32\/21 + -19\/14. What is the nearest to -1 in n, x, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -47, 97, 3\/5, 4, -1\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 12*i + 5)*(4*i + 3*i - 4*i + (1 + 2 - 2)*(-i - 3*i + 3*i) - 1 - 3*i + 1).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 126 and 2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50258960857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2*s**3\/13 - 126*s**2 + 1664*s = 0.\nAnswer: -832, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1529 = -o + 68. Suppose 2*l - o = 7. Suppose l = 9*z + 226. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1\/270, -1\/872, -1\/7, 0.05?\nAnswer: -1\/872","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + j**2 + j + 2. Let y be g(0). Suppose -1 = y*c - c. What is the units digit of 0 - c\/((-2)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1233.6*23\nAnswer: -28372.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69896201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d + 146565 = 146588 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -3, -0.35, -4\/11, 1, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29878438 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-7*p + 7 - 7)*(64*p**4 + 3 - 3).\nAnswer: 896*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2398 divided by -22?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 70. Suppose 3*o - 2*r - 95 = 3*r, -4*o + 175 = 3*r. Suppose 0 = y*p - 10*p + o. Solve -c + 3*c = 2, -3*h + 4*c = -p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -795 and 0.03?\nAnswer: -23.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - b**2. Let y be m(-1). Let j = 0.27 + -5.27. Put y, j, -4 in descending order.\nAnswer: y, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72825053 and 2674.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 361 - 359. Let a be ((-80)\/1470)\/((x\/3)\/1). Suppose -3*p + 1 = -2. Are a and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(2\/9)))\/a**(2\/35) assuming a is positive.\nAnswer: a**(-88\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 82?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a - 4*k, 9 = 3*a - 4*k - 14. Let z(g) = -5*g**2 + 10*g - 29. Let y be z(a). Let b = 226 + y. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4733 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -353 (base 6) to base 16.\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 288 and 224.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 + 0.01. Suppose 15 = -3*o + 8*o. Let g be (-3)\/(-9)*o\/4. Sort h, g, -5 in decreasing order.\nAnswer: g, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1219, -25, -1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**4 + 36240*x**3 - 217560*x**2 + 435200*x - 290160 = 0.\nAnswer: -7254, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 51*m**4 + 8*m**3 + 65. Let g(v) = 17*v**4 + 3*v**3 + 22. Let z(l) = 8*g(l) - 3*s(l). Find the first derivative of z(b) wrt b.\nAnswer: -68*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2702658191 is divided by 2257.\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**2\/2 + t + 837. Determine i(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186572, 186561, 186550, 186539?\nAnswer: 186528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + 3*g + (4 - 1 + 0)*(-6*g - g + 4*g) - 5*g + 9 - 9 - 2*g - 2*g + 6*g)*((2*g + 0*g - 4*g)*(0 - 1 + 0) + 2 + 4*g - 2).\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j = -20*j + 147 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*p + 67*p + 61*p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5434?\nAnswer: 2, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 23.29584km?\nAnswer: 23295840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*a = 25, -3*b - 2*a = a - 15. Solve -2*s - 4 = 4*q - 3*q, -3*s - 3*q - 6 = b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -16. Let o(b) = -3 + k*b - 24*b + 3. Let v(n) = -14*n**2. What is o(v(u))?\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-22730048.\nAnswer: 9092019.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 7*o**2 + 2*o + 9. Let x be h(-7). Does 3 divide (-1)\/(x\/9)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79698 and 355644.\nAnswer: 127676196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Let u(y) = -4*y. Determine n(u(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 11:09 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 - 2*v + 483 = 0. Calculate v.\nAnswer: -23, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 11*i = 12. Let u be (-988499998)\/15 - 4*i\/30. Round u to the nearest 1000000.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 30, 32, 34, 36, 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 1. Suppose 484*z - 8 = 492*z. Let p(j) = j + 10. What is z*p(o) - 2*w(o)?\nAnswer: -2*o**2 - o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c**4 - 13390*c**3 + 1464335*c**2 + 489600*c = 0.\nAnswer: -1\/3, 0, 128, 765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c - 7. Let a(b) = b + 1. Let u(v) = 5*a(v) - i(v). Let q be u(-3). Calculate the greatest common factor of 9 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86089961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89523 by 9947.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = l - 14. Let y = l + -22. Calculate the remainder when (-4)\/26 + 19392\/312 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9641\/22256 + -6\/1391. Let n = -24\/229 + -11945\/1832. Find the common denominator of z and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 21 - 36 = 0. Let k(m) = 47*m - f*m - m - 11*m. Let g(z) = 12*z. Give k(g(h)).\nAnswer: 192*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1 - 5*p - 4 + 5. Let w(k) = -3*k + 4. Let z(q) = -7*q + 9. Let s be (-13 + 15)\/((-1)\/(-2)). Let o(h) = s*z(h) - 9*w(h). What is o(y(t))?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9*w + 15. What is x(6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 873.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 742, 733, 710, 667, 598?\n\"Answer: -d**3 - d**2 + d + 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 543824 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n + 18 = -39*n. What are the prime factors of 302 + -5 + 2 + 5 + n?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-3\/7)\/j)*j))\/(j*j**(-2)))**(25\/6)*((j\/((j**(1\/4)\/j*j*j)\/j*j)*j)\/(j**(-1\/4)\/j))\/(j**(1\/2))**(-1) assuming j is positive.\nAnswer: j**(-145\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 7720*f + 7721.\nAnswer: -(f - 1)*(f + 7721)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7020 + 7021. Which is the smallest value? (a) -1 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 3*d - 3. Let z(b) = -b**3 - 7*b**2 - 7*b - 9. Let j be z(-6). Let o be (-1 - -5) + j - 5. What is the units digit of k(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 2766762420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8260314 divided by -8260314\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -639, -979, -1339, -1725?\nAnswer: -2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 337, 1341, 3015, 5359, 8373, 12057, 16411?\n\"Answer: 335*y**2 - y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 8:48 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9971*s**3 + 4*s**2 - 132*s + 1 wrt s?\nAnswer: -59826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439221592 is divided by 12370.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -13*l - 4. Let p = 24 + -23. Let o(c) = -6*c**3 - c**2 + c. Let z be o(p). Let s(i) = 7*i + 2. Give z*q(m) - 11*s(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 342\/21)*18893\/8097?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 37*s - 1. Let y be a(3). Let b(w) = 4*w**2 - 18*w - 37. Let o be b(9). Find f such that -25*f**2 - o*f + y*f + 85*f - 49 = 0.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 172, 156, 134, 106, 72, 32, -14?\n\"Answer: -3*q**2 - 7*q + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v**2 - 9*v - 7. Let w be k(-7). Let c = -245 + w. Round c to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)*f)**(-19)\/(f*f**6*f**(-6\/13)) assuming f is positive.\nAnswer: f**(2385\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5205.396106 - -5205.5. Round g to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 14*m - 13. Let i be j(6). Let z be ((-8)\/(-3))\/(i\/(-15) + 3). Suppose z*y - 1117 = 3*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -15*v**4 - 1805*v**3 + 11190*v**2 - 22620*v + 15160 = 0.\nAnswer: -379\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 4:13 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*t - 44 + 238 = 0, 0 = -4*v - t + 158. Suppose -v = -3*l - 31. Let p(m) be the second derivative of -m**4\/12 + m**3\/6 + 3*m**2\/2 - m. Give p(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 8*l. Let t be y(8). Let u(d) = 0*d**3 - d**3 + 2*d**3 - 8 + 22. List the prime factors of u(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -2*f**7\/7 - 43*f**6\/180 + f**5\/90 + 365*f**2. Solve w(g) = 0 for g.\nAnswer: -1\/2, 0, 1\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.095 + 0.005. Which is the closest to o? (a) -0.5 (b) -5\/6 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**(-42)\/(h**(-7)\/h**(7\/4))*h**(-2\/9)*h\/(h\/(h*h\/h**0))*h*(h\/h**(1\/3))**16 assuming h is positive.\nAnswer: h**(2311\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33768531497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + t**3 - 2*t**2 + 5 + 0*t + 3*t**2 + 2*t. Let a(g) = 1. Let s(d) = -2*a(d) - o(d). Suppose 4*q + 8 = 3*h - 4*h, -8 = -2*h + 4*q. What is s(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -1617. What is the remainder when m is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 6 + 1 = 3*x, 3*d - 5*x + 21 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55397 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.05 and -6860.\nAnswer: -6859.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*i = -110*i - 186 - 321 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 6*o**4 - 10*o**3 - 22*o**2 - 6*o = 0.\nAnswer: -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 12:28 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-45)\/75)\/((-81)\/30 - 0). Which is the nearest to j? (a) 1 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 12*n**2 - 20*n. What is x(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - -20. What is the remainder when i is divided by 600\/28 + (-20)\/(-35)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8539?\nAnswer: 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 435 - 371. Calculate the remainder when 510 is divided by i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11 and 0.25.\nAnswer: -10.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.379 + 4.81. Round b to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52131705 less than 52131701?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y - 27*y**2 + 95*y - 12 + 13 - 4*y**3.\nAnswer: -4*y**3 - 27*y**2 + 86*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**3 - 8*m**2 + 8*m + 7. Let n(d) = -2*d**3 + 3*d**2 - 3*d - 2. Give -8*n(t) - 3*r(t).\nAnswer: t**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/9)*l*l**15)**(-37)\/(l*l**(3\/7)*l*l**(-4\/5)*(l*l\/(l\/l**(1\/3)))**(-5\/11)) assuming l is positive.\nAnswer: l**(-2168783\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 34788.57ml?\nAnswer: 34.78857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - 9*d**2 + 161746*d - 646980. Determine g(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2) + 1)*0. Find the second derivative of g*n + n**5 - 3*n - 4*n**5 wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t\/(t**(-1)\/t*t*t*t)))\/t)**(18\/7)*(t*t*t*t*t**4\/t)\/(t\/t**(-2\/3)*t*t))**17)**30 assuming t is positive.\nAnswer: t**1700","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65482 is divided by 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100500 and 655260?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + 5378?\nAnswer: 5386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2*((sqrt(425) + 6*(-2 + sqrt(425)) - sqrt(425))**2 + 3 + (sqrt(425)*-2)**2))*1.\nAnswer: -34291 + 1440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 96*r + 32 - 44 in the form h + j*r and give j.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-6))\/((-3)\/(-6)). Let k = 12194 - 12194.2. Which is the closest to 9? (a) f (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1125 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 807 - 816 - (0 + -5 - (83 - 0)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 129, 181, 233, 285?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 17*n**2 + n + 18. Let j be i(-17). Let d(z) = z. Let m(l) = 1. Let t(g) = -14*g + 3. Let u(a) = -5*m(a) + t(a). Give j*u(k) + 12*d(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**5 - 3*r**4 - 2*r**3 - 3*r**2 + 3*r + 3. Let h(n) = n**5 + 5*n**4 + 4*n**3 + 5*n**2 - 5*n - 5. Let c(b) = -5*f(b) - 3*h(b). Factor c(u).\nAnswer: 2*u**3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-three thirds of a minute?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78805.\nAnswer: 5, 15761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2 (c) 356713\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(-1 + -3 + -2 + 7). Suppose -8*x = -k*x + 10. Suppose -3*g + x*g = 122. Does 39 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 2 = 2*c + 19*x, 0 = c - 3*x + 1. Let k = 1\/170 + -93\/1360. Which is greater: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-154950426\nAnswer: 309900852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 13*b + b**3 + 24*b - 8*b**2 - 28*b - 4. Suppose -3*r + a = -8, 8 = -4*r - 4*a - 8. Calculate the lowest common multiple of s(7) and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -2. Suppose 0 = 4*w - 9*w. Suppose 0*s + 5*s - 265 = w. Solve -3 = z*k + 5*v - s, v = -5*k + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4906995 rounded to 3 decimal places?\nAnswer: -0.491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*p = 109*p + 44*p - 318 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 236 and 12.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1514, 6032, 13554, 24080?\nAnswer: 37610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1539d + 4e?\nAnswer: -1534e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-6)\/8*(-12)\/(-48)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532048 and 31504?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 11*x**2 + x - 3. Let m be g(11). Suppose -m = -2*i - 2*i. Let w be (2 - i)\/(0 - -1). Is w greater than 4\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6346.457 nanoseconds in seconds?\nAnswer: 0.000006346457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 445*t**4 - 909*t**4 + 1706*t**4 + 4*t**2 + 1016*t - 4*t**2 wrt t.\nAnswer: 14904*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 838 - 1038. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 2 + -5 + sqrt(1008) + 1 + sqrt(1008) + 1)*-4*-2)**2.\nAnswer: 258048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -6*o + 5*o + 2*o + 4*o. Let y(z) be the second derivative of -1\/2*z**3 + 16*z + 0 + 0*z**2. Determine f(y(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -418\/5*y**2 - 72*y + 0 + 18\/5*y**4 - 42\/5*y**3 + 2\/5*y**5 = 0.\nAnswer: -9, -4, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - (4 + (3 - 2)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - sqrt(66)\/sqrt(2)*5)\/sqrt(3).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1632897918 to the nearest integer?\nAnswer: 40409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49947270?\nAnswer: 2, 3, 5, 1664909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27294 divided by -6.\nAnswer: 4549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 - 2*x + 10 - 6.\nAnswer: -2*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 64*v**2 - 346*v - 10. Give m(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, b: 7}. What is prob of picking 3 b?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 15. Let y = z + 2. Let f = y - 2. Solve -c = -0 - f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sshshxshxxsxxhxsssss. Give prob of picking 1 s and 1 h.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a\/(a*a\/a**(1\/3)))*a)\/a))**(-1\/16)\/(a**1)**(1\/21))**(-3\/17) assuming a is positive.\nAnswer: a**(1\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*p - 0 + 4, 3*n - 32 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*w**2 - 5*w**2 + 6*w**2)*(-22*w**2 + 507 - 507) in the form c*w**3 + j*w**2 + t*w + f*w**4 + v and give f.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b*s**4 + 7302*b*s - 2368927*b wrt s.\nAnswer: 16*b*s**3 + 7302*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/22 and -59\/1381902?\nAnswer: 15200922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 375*k**3*r + 436*k**2*r wrt k.\nAnswer: 2250*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**3 + 265*u**2 - 86*u - 163. Let z be g(88). Suppose 0 = -4*h - 0*h + 40. Suppose 2*i + q - 23 = 12, -h = -i + 2*q. Which is bigger: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 285781 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046722851 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*g - 603 + 10789 = 0, 4*g - 5102 = c. Which is smaller: -5079 or c?\nAnswer: -5079","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 19*d. Suppose 0 = -25*o + 28*o - 18. Let x(c) = -4*c. Let t(w) = o*x(w) + u(w). Let f(h) be the first derivative of -4*h**3\/3 + 1. Give t(f(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1582239898 to the nearest integer?\nAnswer: 39777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by -4.\nAnswer: 79\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2275\/2 or -1138?\nAnswer: -2275\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*c - 4*g - 46, 0 = -4*c - 5*g - 12. What is the nearest to 12 in 4, -0.2, c, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1746650 + 1?\nAnswer: 1746651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 + 435*w - 2492. Calculate z(-229).\nAnswer: 2775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -365 + 364. Do t and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -503, -610, -621?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3322308 to the nearest integer?\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 17*s**2 + 2131*s - 8. Let b(q) = -57*q**2 - 7101*q + 27. Let z(j) = 8*b(j) + 27*l(j). Factor z(h).\nAnswer: 3*h*(h + 243)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 372 + -385. Let q(k) = -4*k + 5. Let s be q(4). Is s <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -19*c**3 - 7*c**2 - 7*c - 571. Let b(d) = -13*d**3 - 5*d**2 - 4*d - 381. Let r(s) = -7*b(s) + 5*y(s). Differentiate r(f) with respect to f.\nAnswer: -12*f**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 10. Let k(n) = -2*n + 1. Let q be k(4). Let v be r(q). Is 80\/(-50)*110\/v a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 800893 and 2059.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, m: 15}. Give prob of picking 2 l and 1 m.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a*l*v - 2778*a*p*v**3 - 97*a*p*v**2 + 12*a*v**2 - 2*a + 2*l*p*v**3 - l*p*v + 8*l*v**3 wrt v?\nAnswer: -16668*a*p + 12*l*p + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*l**2 + 113*l**6 + 20*l**3 + 9*l**3 - 12 + 10*l**3 + 1 - 44*l**3 wrt l?\nAnswer: 13560*l**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 48 + 60. Suppose 5*t - 61 + r = 0. Suppose -5*w - 58 = -s - 170, 0 = t*s - 15. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(4305\/1148).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -37. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 1 = -8 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 85045477129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.267549 years to millennia.\nAnswer: 0.000267549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 168\/10*(-190)\/(-57). Let y = -52 + a. Suppose -5*g + s = -166, -y*g + 7*g - 3*s = 90. Calculate the remainder when 203 is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b - 4*b)*(1 - 5 + 3) - b - 4*b + 2*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q - 43 = -93 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 170*a**3\/3 - 303*a**2 + 58*a + 6. Differentiate h(r) wrt r.\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10)*3*(-600)\/(-30). Let b = 18 + -16. Solve 10*r = b*r - d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.23346 to 2 dps.\nAnswer: 27.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53029503 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 7:07 PM?\nAnswer: 301","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -692 - -29033\/42. What is the common denominator of -33\/28 and c?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -26*r**3 - 16*r**2 + 8*r + 52. Let c(w) = -9*w**3 - 6*w**2 + 3*w + 17. Calculate 8*c(j) - 3*l(j).\nAnswer: 6*j**3 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6850596+35650.87\nAnswer: 6886246.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12 + 0 - 3*n**2 + 23*n**3 + 2*n - 22*n**3 + 0*n. Does 29 divide x(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 256*w - 7955. Calculate x(31).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -134, -150?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-2*2\/4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3. Let g be -2 - (-4)\/(20\/15). What is the remainder when (-3)\/g*(-2 - -1) is divided by s(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0084414734 to 6 dps.\nAnswer: 0.008441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w = 4*w - 69 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-4)\/2 + -12. Let v(m) = m**3 + 21*m**2 + 11*m - 16. Is v(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {p: 2, r: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**7\/1260 + s**6\/240 - s**5\/60 + 35*s**4\/12 - 90*s**2. Let y(o) be the second derivative of b(o). Determine y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**2 - 6*t**2 - 4*t**2 - 128*t + 126 + 6*t**2.\nAnswer: 2*(t - 63)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9*w + 228. Suppose -1339 = -69*y + 455. What is p(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -19*m**2. Let j(u) = 3*u. Let t(z) = z. Let l(g) = -6*j(g) + 17*t(g). Give a(l(c)).\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 274?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2925 = -6*b - 19*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**3 - 23*a**2 - 105*a + 2042. Is 18 a factor of u(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58*n*y**3 - 9*n - 74547*y**3 wrt n?\nAnswer: -58*y**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2552 (base 6) to base 4\nAnswer: 22010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 36*z - 10. Let y(d) = -7*d + 2. Let a be (-96)\/(-120) - ((-99)\/(-45))\/(-1 - 0). Calculate a*j(t) + 16*y(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38230306 and 1718216?\nAnswer: 152921224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1.089?\nAnswer: 0.2178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, b: 4, d: 6}. What is prob of picking 1 z and 2 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9143171*d + 7716348 wrt d?\nAnswer: -9143171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z*z**(-2\/9))\/z)\/z))**2\/(z**(-4)\/(z*z**(-2\/9))))\/((z**(-2))**(-11\/4))**(11\/6) assuming z is positive.\nAnswer: z**(-31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -288 + 288. Let c(j) = -j**2 - 31. What is c(l)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.860816 millilitres?\nAnswer: 0.007860816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 70*l + 169. Let h be 1\/(4 - 2\/2). What is the nearest to 0 in -10, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3125*u + 3 - 2285*u + 1. List the prime factors of y(1).\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96754163617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435*o**2\/2 - 1047638*o + 698522 = 0. What is o?\nAnswer: -698522\/145, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4005 + 21. What is the least common multiple of 27 and q?\nAnswer: 36234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = o + 2*p, 4*p = 4*o - 48. What is the least common multiple of 4 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3 + (-4 - 1 + 0)*(2 + 4 - 5)*(-10 - 10 + 4))*(0*z - 3*z + 0 + 1).\nAnswer: -243*z + 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. Let w = -5 - g. Which is the closest to -0.1? (a) -0.3 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**5\/120 + 2*j**3\/3 - 5*j**2. Let x(o) be the first derivative of k(o). Let d(z) = -6*z + 2*z - 3*z - z. Calculate x(d(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*6\/(-20) + 6916\/(-910)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1409, 2 in descending order.\nAnswer: 2, 0, -1409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 76*d**2 - 2*d. Let u(i) = -5*i. Determine l(u(g)).\nAnswer: 1900*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 3) in base 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/56 and -2 + (-1177)\/(-126) - 0 - 7.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6801, -13602, -20403?\n\"Answer: -6801*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 - 8 = 0. Let b = -2 + r. Suppose 0 = -3*x + 10 - b. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3085 divided by -1\nAnswer: 3085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -8 - 5*m - 2 + 0*m - 5 + 7*m. Let h(u) be the second derivative of -u**3\/6 - 7*u. Calculate h(k(q)).\nAnswer: -2*q + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 2*k + 4*k)*(-18 + 6 - 72 - 41).\nAnswer: 125*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**2 + 32360*x - 13780365 = 0.\nAnswer: -6873, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 850, -24, 40.\nAnswer: -24, 6, 40, 850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 7:59 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 2*h + 0*h)*(4 - 7 + 2)*(-2 + 2 - 1)*(0 + 0 + 8*h**2) to m*h**3 + u*h**2 + r*h + a and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z**2 - z**3 + 1 + 0 + 9 - z - 18. Determine u(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -4\/5 (c) 1.1 (d) 0.2 (e) -50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 = 104*s - 242. Let y = 58 + 19. Let z = y + -7. What is the highest common factor of z and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4959*y + 50671. Determine a(-10).\nAnswer: 1081","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 307 and 285203.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**2 + 5. Let t(u) = 6*u**2 + 5102. Determine t(n(l)).\nAnswer: 150*l**4 + 300*l**2 + 5252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33) - (2*sqrt(132)\/sqrt(4) - sqrt(33)))*2)\/(1*5*sqrt(11)*-2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.660272 millennia?\nAnswer: 19923.264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-139 + 4)*(-8)\/12. Let o = n - 94. What is the closest to -0.2 in 1, -0.02, o?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 72\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/((-9)\/18)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m - 1. Let v(u) be the first derivative of -u**3 - 3*u**2\/2 - 2*u - 5. Let h(w) be the first derivative of v(w). What is -3*h(b) + 8*t(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/14)\/((-6)\/8). Suppose -j*m - 3*m + 280 = 0. Calculate the highest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -662?\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 1920*r**2 + 2 + 974*r**2 - 65*r**2.\nAnswer: 2829*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 35, 93, 171, 269, 387, 525, 683?\n\"Answer: 10*s**2 + 28*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/842?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/5 - 6*l**3\/5 - 9*l**2\/5.\nAnswer: -l**2*(l + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -48ee6 (base 15) in base 12?\nAnswer: -b2916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 18, 4, 0.\nAnswer: -2, 0, 4, 9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 14*z + 9. Let i(v) = v - 7. Let u be i(0). What is the tens digit of s(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y + 1. Let d be p(-1). Suppose -t = -0*t - 23. Suppose 0 = 5*j - d - 2, -t = -3*a - 4*j. Solve -k + 2 = a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810)*2 - sqrt(810))\/(sqrt(5) - (sqrt(245)*5 - sqrt(5))).\nAnswer: -3*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q + 1940 + 1142 + 3188 = -9 for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 74\/33, 0.1, 1\/3, -2, -1\/4 in decreasing order.\nAnswer: 74\/33, 1\/3, 0.1, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1632716*-17\nAnswer: -2.7756172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (3 - -1)) + -4 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of t**4 - 55*t**3 - 108*t**2 - t wrt t.\nAnswer: 24*t - 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roq when three letters picked without replacement from {e: 1, o: 6, w: 6, q: 1, r: 3}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 690 and 48849884.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 24\/7) + 153\/357. Let l(y) = 2*y - 2. Let i(j) = -5*j + 0 + 4*j + 1. Calculate r*l(m) - 3*i(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9094 (base 12) in base 4?\nAnswer: -3310300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 136 * -4\nAnswer: -544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27670147 or 27670151?\nAnswer: 27670147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891 is divided by (-21976)\/(-469) - 4\/(-28)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 177 and 1357?\nAnswer: 4071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 1. Suppose 2*q = 3 + u. Solve -3*g - 2 = 3*f - 5, q*f = -g + 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 1, -9, -7 in decreasing order.\nAnswer: 1, 0, -5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 h, 1 p, and 1 w when four letters picked without replacement from ahhwahpwahhhwh?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53402202 is divided by 86.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 172057820 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(f + 0 + 0) + (-1 + 1 - 2*f)*(-4 + 3 + 4).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 16 = -3*k + 4*k, 2*k + 4*a + 8 = 0. Let z = k + 7. Which is smaller: z or -1\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let y(n) be the first derivative of -n**3\/3 - 429*n**2\/2 - 2570. Give h(y(g)).\nAnswer: g**2 + 429*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d**2 + 58\/3*d**3 - 14\/9*d**4 - 64\/3 + 664\/9*d = 0.\nAnswer: 3\/7, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2462 - -2520. What is the third smallest value in p, 1\/2, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2423, 2987, 3539, 4079, 4607?\n\"Answer: -6*t**2 + 582*t + 1847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b = 5*b - 144. Let a(q) = q + q - q - b*q. Let f(m) = 34*m. Calculate f(a(t)).\nAnswer: -170*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 9:15 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.6 - 12. Let m = -0.0827 - 0.1173. What is the closest to m in 1\/4, -0.01, r?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:39 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 7, c: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/22 and (-393)\/70 - 4\/14.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 21. Suppose -3*p - 1 = -a. Let r be (-2)\/14*4\/p. Put 1\/4, -2, r in descending order.\nAnswer: 1\/4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 0.104.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 593.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -930 + 970. What is the remainder when (2\/5 - 0) + 1176\/10 is divided by d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a2a18 (base 13) to base 6.\nAnswer: -10130311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -443446 + -161?\nAnswer: -443640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15571827 is divided by 5190602?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2 - sqrt(77))*4 - sqrt(77))\/(sqrt(88)\/(sqrt(72)\/sqrt(9)) + sqrt(11)).\nAnswer: -13*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -12. Let x(o) = -o**2 + 5*o + 2. Let l be x(b). Let d = 9 - l. Which is smaller: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqq. What is prob of picking 3 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 16*i + 47. Does 15 divide s(28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llw when three letters picked without replacement from llwwwwl.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2\/5 (b) 3 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g*j**3*q + 2*g*j**3 - 4739*g*j*q - 4*g*q + g - 4661*j**3*q + 2*j**2 wrt j?\nAnswer: -30*g*q + 12*g - 27966*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {p: 3, e: 2, l: 2, r: 1, q: 9}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1373338798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 1. Let i be (1\/2)\/(1\/12). Suppose 3*z = -3*w + 234, 0*w + z + 150 = 2*w. Let j = w + -98. Let o(c) = 4*c + 4. Determine i*o(t) + j*h(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 7:00 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r - 9 + 34*r**3 + 39*r**3 - 77*r**3 - 1 + 2 + 8*r**2.\nAnswer: -4*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 74. Let d(b) = 13*b + 4. Let r(y) = -10*y - 3. Let f(u) = -3*d(u) - 4*r(u). Determine f(q(w)).\nAnswer: -2*w - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*n + 342 + 389 = -385 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3372447 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 15 = 2*m. Let i(x) = x**2 + 5. List the prime factors of i(m).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llv when three letters picked without replacement from levleeve?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 19*j**2 + 37*j - 12. Calculate g(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = -0*l + 17*l. Calculate the remainder when 36 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (-2)\/(-9) + (0 - 370395\/(-81))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 1 - 100*s**3 - 91*s**3 + 5*s**2 + 4*s + 192*s**3. What is j(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8844.5 + -4382.\nAnswer: -13226.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let r = -3.5 + 5. Let v = r + -5.5. Which is the smallest value? (a) f (b) 1\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5 = -g, b + 2*g - 5 = 3*g. Suppose 0 = 3*q - b*h + 4*h + 314, -498 = 5*q - 3*h. Is -102 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -31*g - 79. Let x be m(-3). Suppose -x*q = -9*q - 1875. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000093756 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3}. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*o = -26, 4*b - 5*o + 16 - 2 = 0. What is the common denominator of 0 - (-1)\/b*113 and (-15)\/((-180)\/(-12)) + (-1)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43172.\nAnswer: 2, 43, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 790375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6886, 0, 2.\nAnswer: -6886, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-278 - 257 - 286 - 6*m**2 + 120*m**3 + 821)*(-2*m - 3*m + 3*m) to the form s*m**2 + t*m**4 + f*m + c + o*m**3 and give t.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 4. Let s(l) = l**2 - 3*l - 8. Let p be s(5). Let w be m(p). Factor 0*j + 4\/5*j**2 + 2*j**w - 14\/5*j**3 + 0.\nAnswer: 2*j**2*(j - 1)*(5*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 3646806?\nAnswer: 3646806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232 - 21?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 571 is divided by 388?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22615123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 3 (c) -3\/5 (d) 5 (e) -2\/15 (f) -2\/9 (g) -2\/2901\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -0.6 (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 2. Suppose -3*q = 3*t - 18, -8 = -3*q + 4. Calculate the remainder when (-4)\/(8\/t) + 6 is divided by g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*r + 10 = 2*p, 5*p = -4*r + 20. Which is smaller: 1\/14 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/9 + 1190702*r**3\/9 - 2381398*r**2\/9 + 1190698*r\/9.\nAnswer: -2*r*(r - 595349)*(r - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiibibi.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n. Let a(m) = 1 + 0 - 2 + 13*m. Suppose w - 3*b = -5 - 6, 4*w - 1 = -3*b. Determine w*a(i) + 7*x(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 4649575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjqnqqn. Give prob of picking 2 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053432 rounded to seven decimal places?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + -553565632?\nAnswer: -553565652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(76860\/(-42))*4.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 6, s: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4137, -2, -8, 3 in descending order.\nAnswer: 4137, 3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 7:13 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/18*(-135)\/(-300).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/5 + 1306*b**4\/5 + 15868*b**3\/5 + 12212*b**2 + 15950*b + 6650 = 0.\nAnswer: -5, -1, 665","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9115 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*s + 12 - 2 = 0, -4*s - 60 = 4*w. Which is smaller: w or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8241*q - 95458 + 54253 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4794603.\nAnswer: 3, 11, 23, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 7:31 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from juvjwvjvjyujyssvyvv?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7061*b - b**2 + 7061*b. Let h(u) = -4*u - 847. Determine t(h(d)).\nAnswer: -16*d**2 - 6776*d - 717409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in -7, 50, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -1.6. Let p = 1.6 - h. Let z = -6 + p. Put 1\/6, z, -1\/3 in descending order.\nAnswer: 1\/6, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69921, -71879, -73835, -75789, -77741?\n\"Answer: n**2 - 1961*n - 67961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 29*o**2 - 4*o - 59. Let d be 13944\/(-189) + 2*1\/(-9). Let f = d + 68. Is s(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 240 = -5*n - 60 + 178, -5*o - 90 = 5*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2837 - -5664. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 + 0*x**2 - x**2 + (-2 - 13 + 3*x**2 - 2)*(3 + 0 - 1)*(1 - 1 + 1).\nAnswer: 7*x**2 - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0246 + -4.9754. Let x(z) = -z**3 + 3*z**2 + 3*z - 2. Let n be x(3). Let f(u) = -u - 9. Let o be f(-7). What is the nearest to n in r, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167237 is divided by 370.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1661 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b = -31*b + 16. Let u(r) = r. Let d(g) = g - 1. Let n(i) = -d(i) + 2*u(i). What are the prime factors of n(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + 0 + 8 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 806\/23 + -12136\/345. What is the nearest to j in 2\/15, -17, 3\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 6*y = -2*y - 24, 3*y - 11 = 4*j. Let s(r) = -r**2 + 4. Let z be s(0). Solve -u - j = z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k**2 - 4*k**2 + (0 + 4 - 2)*(k**2 + 4*k**2 - 3*k**2) - k**2 + 4 - 4 + 3*k**2 - 5*k**2 + 0*k**2 + k**2 - k**2 + 3*k**2)*(0*k + 3*k - 2 - k).\nAnswer: 4*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - i + 3. Let a be -1 + 2 - -9 - 3. Is x(a) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*269142.\nAnswer: 107656.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8695 - 8675. Let m be 4\/(-3)*-25*3. Calculate the greatest common divisor of m and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/7 - (2 + (-57)\/7). What is the third derivative of -20*u**2 - 26*u**m + 42*u**6 + 0*u**2 wrt u?\nAnswer: 1920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41.314 and -89942159.\nAnswer: -89942117.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avuuvaavauwvvavvaaua. Give prob of sequence av.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -358330161 + 0?\nAnswer: -358330161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 197. Let w = 65 + a. Let c = -5 - w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 - (-507)\/65)\/(36\/90). Factor 3\/4*k**2 + i*k + 27\/4.\nAnswer: 3*(k + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47448 divided by 11862\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 163942609667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 206\/5. Let w = 146 + -144.9. Let v = -1.13 + w. Which is the third biggest value? (a) -2 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z + 14*z - 258 = z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 - 94961172*z - 189922328.\nAnswer: -4*(z + 2)*(z + 23740291)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + -3 + (-58 - -104 - 12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-25 - (-9 - (-9 + 13)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(-1))))\/g)**(-3\/13)*(g\/(g\/g**0))**(-19\/3) assuming g is positive.\nAnswer: g**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((17696\/(-192))\/79 - 12\/8)*24.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*i - 167 - 124 = 0. Suppose -6*d + 2*d + 8 = 0. Solve d*j - a - 4 = 0, -i*j = j - 4*a - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.178 + -3.4894\nAnswer: -3.6674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66372760, -66372766, -66372772?\nAnswer: -66372778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 1 (c) 176 (d) 0.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -392 + 260. Let u = -269 - i. Let w = u + 136.99763. What is w rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346641 is divided by 13864.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1168+-0.24\nAnswer: 1167.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23805582791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3*n**3 - 198*m**3 - 2*m*n**3 - 8*m*n wrt n.\nAnswer: 3*m**3*n**2 - 6*m*n**2 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 33*i + 21. Let y(t) = 8*t + 5. Let m(x) = -5*h(x) + 21*y(x). Let f be m(2). What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 33348678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121 - 86. Let k(f) = 2*f**3 - 3*f**2 + 3*f. Let y be k(2). Let b = i - y. What is the remainder when 99 is divided by b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-7380)*(-13 + 23\/((-1610)\/(-960))).\nAnswer: -2\/287","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - (6 - (20 + -45))) + (1 - -28)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, d: 8, k: 5}. Give prob of sequence tkd.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(1 + (sqrt(468) - (1*sqrt(468)*-5 - sqrt(468))))**2 + 3)*6.\nAnswer: -137610 - 504*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117383.\nAnswer: 7, 41, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 32*z - 78. What is v(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69453588 and 2679.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -6. Suppose 5*s = 2*i + 23 + 5, -3*i = r*s. Let h be 2 + (-3 - 4*-4). Solve 3*q + h = 0, 3*k + s*q = -0 - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 275025652\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*q + 66, 2*p = -2*q + 28. What is the highest common divisor of 30 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + -1 + (-2*sqrt(19) - sqrt(19)) + 4 + -1 + 3*sqrt(304).\nAnswer: 2 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 798?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7644 - -7644. What is the nearest to 2 in -3, 0.5, y, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 15 - 41 - 386*t)*(-2 - 4 - 2).\nAnswer: 3088*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -g - 3*a + 9, 28 = g + 5*a. Suppose -g*z - 9 = -4*z. List the prime factors of z\/(27\/60) - 1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + m**2 - 3*m**2)*(-4*m**2 + 2*m**2 - 2*m**2).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3331 + 20273 = 2*w. List the prime factors of w.\nAnswer: 2, 3, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/2 in 31, 1\/5, 0.1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3312101011 (base 4) to base 10.\nAnswer: 1008709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 + -113040421?\nAnswer: -113041020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**3 + 7. Let j(h) = -260*h**2 - 39*h. Let r(y) = -7*y**2 - y. Let a(s) = -7*j(s) + 273*r(s). Determine d(a(p)).\nAnswer: -24843*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000162234 to 7 decimal places.\nAnswer: 0.0000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2. Let s(g) be the third derivative of -57*g**4\/8 + g**3\/6 + 754*g**2. What is a(s(o))?\nAnswer: -58482*o**2 + 684*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -205, -229, -253, -277, -301?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2993 - -3.354. Which is smaller: -0.4 or f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 83.422 (b) 0.5 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 8*v + 7. Let x be f(-6). Let t(c) be the third derivative of -c**5\/60 - c**4\/4 + c**3\/3 + 4*c**2. Give t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 3*h - h)*(512*h - 1068*h + 2 + 790*h).\nAnswer: 468*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 4*c + 1. Let b(d) = 2*d**2 - 4*d - 1. Let i(x) = 4*b(x) + 5*f(x). Let n be i(3). Let j(m) = -m**3 - 5*m**2 - m - 4. Calculate j(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 20*i - 14. Let p be d(-8). Let m = p - -295. What is the greatest common divisor of 11 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + -0.07. What is the smallest value in h, -4, -13, -0.5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 7:33 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven thirds of a week?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4427 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 2. Let d be (-3)\/(-6) + 3\/2. Suppose -d*a + 45 = o*a. Solve -11 - a = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954792.519 rounded to the nearest 1000?\nAnswer: 1955000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-4 + (sqrt(847) - (sqrt(847) + 1)))*3)**2 - ((sqrt(847) + 0 + 4)**2 + 2 + -1).\nAnswer: -464 - 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -127.72256 to one decimal place.\nAnswer: -127.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 8*u**2 + 12385. Let x(n) be the third derivative of n**5\/30 + n**2. What is x(m(f))?\nAnswer: 512*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/10 + h**4\/3 + h**3\/6 + 3*h**2\/2 - 10*h. What is b(-3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 76*i - 479. Determine a(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2. Let k(y) be the first derivative of -13*y**3\/3 + 3. Calculate z(k(h)).\nAnswer: 169*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 2:37 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q - 40. What is the least common multiple of 22 and m(-5)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/6474 and -74\/273.\nAnswer: 45318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**3*m*m**(-2\/31))**(-2\/17) assuming m is positive.\nAnswer: m**(66\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/(-12))\/((-4)\/8). Let f be 8\/12*(h + 6). Let p(y) = 2*y - 5*y + y**f + 7*y. Let l(n) = -2*n**2 - 9*n. Determine 3*l(s) + 7*p(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*k - 6, k = o + o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2708\/319 - -868253\/93148. Let k = -6\/73 + b. Let n(g) = g**3 + g**2 + g + 2. Let p be n(0). What is the second biggest value in k, -3, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*o - 3546 = -3258 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 8, o: 1, g: 2, d: 2}. What is prob of sequence odgg?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53\/960 + 5\/64. Find the common denominator of -131\/12 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -2123340?\nAnswer: 2123331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(-5 + 3 + 3)*(2 - 2 - 5*l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111100 - 11?\nAnswer: 1001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 382, 763, 1144?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 7*j - 2*j + 53, -15 = j - 3*w. What are the prime factors of 4\/j + 15\/(1080\/79304)?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 105 - 95)*(-2)\/204\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29326*a**4 + 2294*a**2 - a + 1.\nAnswer: -703824*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 1068638 = -13*a - 4*b, -1068662 = -3*a + 2*b. Suppose -74*v + a = -40*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42736914 a multiple of 1260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**3 + 0*v**3 + 3*v**3)*(-7*v + 2*v + 2*v)*(2*v + 2*v - v + (-3*v + v + 0*v)*(1 - 3 + 0)).\nAnswer: 21*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -15 + 3. Suppose 2 = -2*p - 2*i + 3*i, -d*p = -4*i + 8. Solve 4*f + 11 + 9 = p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-26) + -1)\/(-1). Let u = -64352 - -64352.2. Which is the smallest value? (a) u (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 5.05. Let s = -54993 - -54991. Which is the closest to 0.2? (a) v (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from lsivy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -65.83. Let l = i + 0.67. Which is the nearest to -4? (a) 4 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 48. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 5233*t. Let n(h) = -h. Determine n(q(g)).\nAnswer: -5233*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11 + 21 + 19)*(g - g - g) - 1 + 1 - 2*g)*(1 - 2 - 1).\nAnswer: 106*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 73 (b) -4 (c) 149 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 79680*a + 557753. Calculate o(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 32 + 2. Solve 4*x + 3*p = 11, -s*p = -5*x - 2*p - 25 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-18)*3\/5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208.542651 rounded to 0 decimal places?\nAnswer: -209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 57992 + 57680 = 6*h for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + s = 3*s + 6, 52 = 5*x + s. List the prime factors of 30\/(920\/2050 + (-4)\/x).\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1172 and 7\/20.\nAnswer: 5860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 4. Let s = n + 2.1. Which is the closest to s? (a) -5 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -139*n + 387*n + 23 - 129*n - 134*n as l + d*n and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + -3.6. Which is the second smallest value? (a) h (b) 0 (c) -0.2 (d) -5\/3 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 62*g + 961. Calculate x(-19).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 95 = 5*a, -4*a - 3*h = -2*a - 28. Suppose 164 = 5*z + c, -2*c = 4*z - 147 + a. Calculate the remainder when 57 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534103?\nAnswer: 43, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-203)\/(-29))\/(3\/(-3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19486966 less than or equal to 19486965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*((-5)\/(-15) + 11\/(-6)). Let y(x) be the third derivative of 0 - x**2 + 1\/15*x**5 + 0*x + 7\/6*x**3 + 1\/120*x**b - 1\/8*x**4. What is y(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2154*b + 86168. Let f be v(-40). Suppose -p - 648 = -4*p. What is the greatest common divisor of f and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2028 * -0.24.\nAnswer: -486.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {j: 1, b: 3, c: 2, w: 11, q: 1}?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 469*n**3 + 3*n**2 + 12*n - 24. Let d(y) = -470*y**3 - 3*y**2 - 16*y + 23. Let s(g) = 3*d(g) + 4*j(g). Find the third derivative of s(k) wrt k.\nAnswer: 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-18) + (-28857)\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 420294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1128*o**3 - 2*o**4 + o**2 - 27 + o + 21 + 2*o + 1105*o**3 to the form v*o**2 + x*o + j + m*o**4 + s*o**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 1 = -14*k + 5*u, k = -2*u + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11122880 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + n - 4*n. Let y(j) = -7*j**2 + 4*j. Let x(f) = 69*f**2 - 42*f. Let o(t) = -2*x(t) - 21*y(t). What is p(o(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - (0 + 5))*42\/(-21). Let t be (1\/1*2)\/5. Put 35, d, t in ascending order.\nAnswer: t, d, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**2 - d**2 + 0*d**2)*(-109*d + 2355 - 2355) to the form c*d + f*d**2 + s*d**3 + q and give s.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a + 9. Let u be l(-6). Let m be (-1 + 6\/(-9))*u. Let n(t) = -t - 7. Determine n(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*o = -20, 0 = s + 9*o - 8*o. Let w = 7 + -5. Let k = w + 0. What is the lowest common multiple of k and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5079112, 10158230, 15237346, 20316460, 25395572?\nAnswer: 30474682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32788.\nAnswer: 2, 7, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14215 and -1.\nAnswer: -14215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*a - 3*n, 0 = 2*a + 2*n - 7*n - 63. Let d(v) = v**3 - 18*v**2 - 19*v. Let h be d(a). Suppose 4*s + h*s - 196 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 62, 140, 206, 254, 278, 272, 230, 146?\n\"Answer: -a**3 + 85*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-123*m - 140*m + 28*m - 41*m)*(3 - 5 - 1) to w + d*m and give d.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -744765 divided by 3.\nAnswer: -248255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 21. Let y = -7 - q. Let v = 246.1 - 243.1. Sort y, v, -0.1, -2\/3.\nAnswer: -2\/3, -0.1, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2462 - -2464. Solve 2*y + g*j - 5 = 3*j, -4*y - 2*j = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24050 (base 6) to base 9.\nAnswer: 4703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -12*z - 2. What is the smallest common multiple of 38 and x(-2)?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 5 (c) -6 (d) -0.05 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 53. Is m\/(((-4)\/(-1698))\/((-2)\/(-6))) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 - 18 - (-43 + (-27)\/9).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**9\/11592 + b**8\/2760 + b**7\/1932 + b**6\/4140 + 3*b**3 + 10. Let h(r) be the third derivative of y(r). Factor h(f).\nAnswer: 2*f**2*(f + 1)**2*(3*f + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68945 or 4\/19?\nAnswer: 68945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 30. Let s = 8 - 8. What is the tens digit of f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 102.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 137106180 a multiple of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/((-130)\/117))\/(-12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 217479.051 + -217351. Let v = -128 + d. Let r = -0.050946 + v. Round r to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -20852*v + 729802. What is l(35)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n = 66, 2*u - 3*u + 4*u + 17*n - 22*n + 22 + 49 = 0 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -348244960 or -348244961?\nAnswer: -348244961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 m, 1 p, and 1 a when four letters picked without replacement from {x: 4, i: 2, n: 2, a: 2, p: 8, m: 1}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70045 by -5348.\nAnswer: -70045\/5348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 6. Let a be m(8). Solve -8 = -a*f + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 9:12 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 less than -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 243 + -203. Suppose 99*h - 94*h = m. Let b = 40 - 34. What is the lowest common multiple of h and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 401*k + 31. Let j be ((-6)\/9)\/((-3)\/27). Is g(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 - 9.6. Let r = -7.2 - m. Let p = 1.29 + 0.71. Which is the nearest to r? (a) -3\/5 (b) -4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 10 + (4 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h**2*x + 278*h**2 - 2*h*x**3 wrt x?\nAnswer: -3*h**2 - 6*h*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111000000000001 (base 2) in base 15?\nAnswer: 13311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*p**2 - 49*p**2 + 35*p**2 + 3*p**2 - 30*p**2.\nAnswer: -94*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 101001001100010100000?\nAnswer: -101001001100010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.064 - 0.136. What is the third biggest value in j, 5, 3, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3 + 34*j**2 + 139*j - 174 = 0?\nAnswer: -29, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 20087*i - 20083*i + 3, -4*n - 4*i - 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101110 (base 2) in base 10?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29144731 + 29144849.99911. Let f = -119 + l. What is f rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -w**5\/20 + w**4\/4 - w**2 + w. Let t = 25 - 27. What is the tens digit of b(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45260644 by 6.\nAnswer: 22630322\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162773753059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16510, 2325, -11874, -26093, -40338?\n\"Answer: -d**3 - d**2 - 14175*d + 30687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2 + 205*y + 99. Let z be s(103). Let v = 0.2 + -0.3. Let x = v - -0.3. Put x, -3, z in descending order.\nAnswer: x, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 34 = 2*w + 52, 15 = -4*k - w for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.0190088335 to 2 dps.\nAnswer: 2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 - (0 + -2 + -2). Let f be ((-12)\/m)\/((-6)\/15). Let r(q) = -11*q + f*q**2 + 11*q - 3*q**2. Let y(t) = -6*t. Determine y(r(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**6\/120 - v**5\/15 - v**4\/12 - 5*v**3\/6 + 6*v**2 - v. Let m(n) be the first derivative of s(n). Calculate m(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.083 and 35238.\nAnswer: 35236.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)\/sqrt(9)*1 + sqrt(3168)*3)\/((sqrt(24)*-2*-4)\/(1*sqrt(300))))**2.\nAnswer: 376475\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 8*x - 3. Let p be i(8). Let o be p\/((-10)\/(-8) - 2). Let d be o\/12 - (-2)\/3. Which is bigger: d or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2324, 9107, 20334, 35999, 56096?\n\"Answer: -u**3 + 2228*u**2 + 106*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(84)\/(sqrt(84)\/sqrt(7)) + 3)**2.\nAnswer: 6*sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60\/311 - -71\/1244. Which is the second biggest value? (a) s (b) -0.2 (c) -2\/2443\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 7*g + 3. Let h be v(-7). Suppose 3*o - 5 = -2*u, -u = -h*o - 1 + 21. Suppose 2 = q - 2*q - a, 4*q + a = -14. Is q bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a77 + 0?\nAnswer: 5a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 6*x + 6. Calculate b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 266, 269, 282, 311, 362, 441, 554, 707?\n\"Answer: x**3 - x**2 - x + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.09824 from -28.\nAnswer: -32.09824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (102\/12)\/((2\/(-8))\/((-4)\/8))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, y: 2}. What is prob of sequence jj?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 243\/(-45) + 6 - 381\/(-240). Is 3 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 14, -9, -42, -85, -138, -201?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 209 = 34*f. Let o(n) = n**3 - 11*n**2 + n - 8. Let q be o(11). Let j(z) = -z + 2 + q*z - 3*z + 5. Determine j(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166853 - 2*j**3 - 166853.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 50*a**2 + 327*a - 23. Determine g(-6).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b + 1205?\nAnswer: 11a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 2)*(16*g + 555 - 555) + 1 - 1 - 2*g to the form w + r*g and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 115, 180, 247, 316?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + -1 + 36\/18. Let s be (u - (-11)\/9) + 194\/18. Let i(v) = 3*v - 15. Is i(s) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4082394963*m**3 + 4074426939*m**2 - 7964136*m + 3888 = 0 for m.\nAnswer: -1, 36\/36889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 30*c**2 + c + 1. Let v = 4 - 5. Let d be g(v). Suppose 4*y = 30 + d. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 127.890314 to the nearest integer.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4403\/31 - 142. Is g smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -70, 28, 296, 794, 1582, 2720, 4268?\nAnswer: 6286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1928, -14857, -49950, -118289, -230956?\nAnswer: -399033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4118 or -1463?\nAnswer: 4118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4773*v - 33173*v - 27100*v.\nAnswer: -55500*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/722 - -38637\/7220. Let i be ((-6)\/(-4))\/((-3)\/(-64)). Calculate the common denominator of j and 3 - (0 - 10\/i).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110011110001010101 (base 2) to base 3.\nAnswer: -12022221211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9 - 1 = 0. Let c be (-49)\/(-3) - 4\/12. Let d be (0 - -1)\/(4\/c). Solve -d*g - 11 + 0 = 5*q, -5*g + r = -q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4911533 to the nearest integer?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -628*y + 255*y + 196*y - 92*y**2 wrt y?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193380037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**4\/4 - b**3 + 3*b**2\/2 - 3*b - 1. Suppose 0 = 7*o - 133 + 112. Give d(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 a when three letters picked without replacement from zcpccaczxpxczac.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 1 + (-10)\/(-2). Let q = d - 1. Suppose 0 = -m + 2*m + 3*h + 9, 4*h + 22 = q*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 359 + 11 - 117 + 192.\nAnswer: -3*f + 445","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7000.8 milligrams to nanograms.\nAnswer: 7000800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2684 and 143301444.\nAnswer: 143301444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042424310 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 7, a: 1, x: 1, c: 3}. Give prob of picking 1 l and 2 h.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 93*c**2 + 4. Is y(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8640.9 centimeters to meters.\nAnswer: 86.409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3168.5 + 3169. What is the fifth smallest value in 0.2, 71\/3, -0.5, -0.1, l?\nAnswer: 71\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 109189500 to the nearest 1000000.\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of 5*a**2 + 61\/120*a**6 + 0*a**3 + 0*a + 2 + 43\/12*a**4 + 0*a**5. What is the second derivative of p(r) wrt r?\nAnswer: 366*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57457?\nAnswer: 57457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16440814*k**2 + 33*k + 2418?\nAnswer: -32881628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -10. Let y = j + 10. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 23*d - 2. Let r be k(-12). Suppose -248 = -6*w + r. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3423981 divided by 110451.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 2:31 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from fafwe?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -1) + (-217)\/217?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -12. Let s(b) = 13*b + 9. Let a(g) = -9*g - 6. Let q(v) = -7*a(v) - 5*s(v). Calculate the smallest common multiple of 4 and q(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -212, -847, -1906, -3389, -5296?\n\"Answer: -212*l**2 + l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -370*k - 28487. Let m be p(-77). Suppose 24\/7*j**2 + 128\/7 - 96\/7*j - 2\/7*j**m = 0. Calculate j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -306*w - 178167. What is k(-583)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 25\/73, 0?\nAnswer: 25\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 1, 1\/17, -1.103, -2?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzlzzzzzzggiqzzgq. What is prob of picking 1 g and 1 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 236 - 124. Is (280\/l)\/(1\/274) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5*(1508927 - -70) - 3\/5. Round q to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -670*u - 226. What is the lowest common multiple of l(-1) and 54?\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + x - 255 = 0, a - 322 = -4*a + 2*x. Let f be -1 - (-2)\/2*a. Suppose -2*u - 3*t = u - f, -3*u = t - 57. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4856*n + 14089*n - 4870*n - 4367*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-140))\/(2\/(-16)). Let h be 40\/(-140) + 31\/35. Which is the fourth smallest value? (a) h (b) 2 (c) 5 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1994.1 and -12.45.\nAnswer: -2006.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.09 + -0.19. Which is the closest to 2\/3? (a) 5 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -597, -1201, -1815, -2439?\nAnswer: -3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*a, 0 = w + 3*a - 12. Suppose 3*k - w = -4*i - 3, -3*k + 9 = -4*i. Let c be (3\/(-9))\/(7\/k). What is the biggest value in -4, 2\/13, c?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, -0.4, -5, -2\/17, -3\/4, 45?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + 1*sqrt(192) + sqrt(192) - (sqrt(75) + 1)*-2)**2 + 1.\nAnswer: 156*sqrt(3) + 2040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 849 + 285 = -5*f - 282 - 286, 0 = -u + 73*f - 82 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19850936 and 3544810.\nAnswer: 99254680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -639 + 802. Which is smaller: q or 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + -3 + 2 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6275513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 22*b**2 - 233*b - 8. Let g(z) = 16*z**2 - 232*z - 8. What is 4*g(o) - 3*y(o)?\nAnswer: -2*o**2 - 229*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.586 + -0.114. Let r = 8.7 + z. Is r < 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-135)\/(-36) - 2\/(-8). Solve -p*r = -12, -z + r = 2*r - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347072618 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 73*h - h**2 - 73*h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y - 11*y - 24*y - 3*y in the form j*y + i and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 10:10 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 32 + 7. Suppose f*a - 1 = 4. Which is greater: a or 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 + 38. Suppose 0 = -4*w + 37 + x. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 214*x - 223*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f - 12. Let z be p(-2). Let l be (-48)\/192 + ((-482)\/z)\/(-1). Suppose 3*b = -3*b + l. Solve 5*u - b = -3*q, u - 6 = 2*q - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827019272 a multiple of 4808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 161483828 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + 2*n**2 + 25*n**4 - 27*n**4 + n**3 to s*n**4 + p*n + i + m*n**2 + x*n**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (1 + 1 + 2). Let h(w) = -2*w + 4. Give h(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 6. Find the second derivative of 14 + y*v**3 - 14 - 3*v wrt v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuooooaouua. Give prob of sequence aao.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*((-55)\/10 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-12)\/(-48))\/(1\/16) + 86 and 1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 530 and 4346?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*q - 774, 0 = -15*q + 11*q + 4*l + 792. Solve 0 = 5*z - 185 + q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73051 and 1276.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 258 - 259 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18602, 37181, 55764, 74345, 92918, 111477?\n\"Answer: -r**3 + 8*r**2 + 18562*r + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1131009427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84751184.\nAnswer: 2, 7, 15443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 - 2)*(7 - 9 + 15 + (3 - 2 + 1)*(2 - 2 + 1))*(3*n - 3*n - 2*n)*(-2*n**3 - 3*n + 3*n) in the form f*n + x*n**4 + z*n**2 + v*n**3 + d and give x.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -36 (b) -5\/4 (c) -5 (d) -1 (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a1029 (base 15) in base 5?\nAnswer: 1004402124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = j + 3, 0 = 3*j - 9. Suppose -2*t + 0*t = -z - h, 5*z - 36 = -4*t. Find b such that -2*b**3 + 2*b - z*b**2 - 3*b**3 + 7*b**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 822, 785, 680, 477, 146, -343, -1020?\nAnswer: -1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 23*r - 754. What is the remainder when 1728 is divided by y(70)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**2*t**2 - 924302*s**2*z**2 - 2*s*t**2*z**2 - 89*t**2*z + 10*t*z + 4*t + 12*z wrt z.\nAnswer: -1848604*s**2 - 4*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1156190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -812*r - 8. Let b be z(16). Round b to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + -4 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 387*0.3\nAnswer: 116.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/64 (b) 2\/11 (c) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 5*g**2 - g + 369539. Is b(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -4*l - 2*h - 347, 5*h - 183 = 2*l. What is the common denominator of l\/(-30)*(-4)\/24 and -109\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.962 - 0.038. Let j = v - -6.99952. Round j to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a**(1\/3)\/a))\/a)**18\/(a**0*a)**(-45)*((a*a*a\/((a*a*a*(a**(-5\/2)\/a*a)\/a*a)\/a))\/a*a**(5\/6)\/a)**(1\/25) assuming a is positive.\nAnswer: a**(5632\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.7. Let o = 1.49677 - 1.43677. Which is the nearest to z? (a) -0.3 (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 3*y + (2 + 0 + 2)*((1 - 1 + 2)*(2*y - 6*y + 2*y) - 1 - 2*y + 1 - 3*y + 2*y + 2*y + y + 0 + 0) as d + b*y and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11011101?\nAnswer: -11011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64235 - -92499. Which is smaller: h or 28263?\nAnswer: 28263","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4185995 by -3.\nAnswer: -4185995\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80.147 - 1.953. Let r = 96 + p. Round r to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-4)\/(-4)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -116*x*z**3 + 2*x*z**2 + 2*x - 2512*z**3 wrt x?\nAnswer: -116*z**3 + 2*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 != 459\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.6 + -7. Let s = k + -1.5974. Round s to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20606270 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 + t**3 - 2 + 0 + 0 as r*t**3 + i*t**2 + c*t + n and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2042773 + 6124?\nAnswer: 2051117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 9*l + 130 = 0. Suppose 3*a + 2*a = l. Suppose 3*z - 4*j - 1 = -0*j, -4*z + a*j + 8 = 0. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*p + 204 = -31*p. Let u = -46 - p. What is the highest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 25, 1, -1, -439, 2 in decreasing order.\nAnswer: 25, 3, 2, 1, -1, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 7:59 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*w + 6, 0*c - 8 = 2*c. Let u = 20 + w. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*g**2 + 11*g**2 - 79 + 20 + 27 + 32.\nAnswer: -274*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*g - 26, -166 = 3*j - 8*j + g. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 0*g + 15. Let f = 9 - g. Let i = -4 - -13. What is the greatest common factor of f and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 175067488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*d - 3 + 2\/3*d**2 - 1\/6*d**3.\nAnswer: -(d - 3)**2*(d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67503969*u**3 - 930949213*u**2?\nAnswer: -405023814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28754 is divided by 2614?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*t = 8, -14*x - 4*t = -11*x - 4. Suppose x*k + 2*w - 80 = 0, 0 = 4*w - 11 - 5. Calculate the lowest common multiple of 10 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -437, -873, -1309, -1745?\n\"Answer: -436*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 55\/2 of a kilometer?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d + 5. Let b(u) = -6*u - 5. Let h(x) = 6*b(x) + 5*z(x). What is h(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295366983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -4*t - 20. Let y(v) = 5*v**2 - 4*v - 10. Let a be y(t). Round a to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -95*v - 2369. Calculate the remainder when x(-56) is divided by 123.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 3, -2 in ascending order.\nAnswer: -28, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 1. Let g = 36 - 65. Let j = g + 18. Let k = 8 + j. Let l(w) = 10*w + 6. Give k*l(x) + 16*c(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -42, -1\/7?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 o when three letters picked without replacement from ogooozzoooooogo.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + r + 3)*(82 - 135 - 98 + (5 - 5 - 2)*(1 + 3 - 1))*(-2 + 2 + 5*r + (2*r - 2*r - r)*(4 - 2 - 4)) in the form j*r**2 + m*r + x and give j.\nAnswer: -1099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20866?\nAnswer: 2, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 12*i**2 - i + 5. Give n(11).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f + 241 = 56 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -119*1) + 52\/(-26). Let o = 3 + 14. What is the greatest common factor of o and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 649, 974, 1299, 1624, 1949?\nAnswer: 2274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 25. Suppose 0 = 2*c + m, 4*b + 6*c - 2*c - 144 = 0. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2. Let a(s) be the third derivative of 0 + 0*s - 5\/24*s**4 + 0*s**3 + 4*s**2. Give a(p(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -4. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 388\/5, 0.29, -0.1, -2\/3, -5, -1, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**2 - 17*g**2 + 2*g - 3*g + 6*g**3 - 15 + 2*g**4 - 6*g**2 + 13 to the form m*g**4 + o + u*g**2 + a*g**3 + z*g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (512\/(-256))\/((-4)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -92. Suppose 5*y - 56 = g. Calculate the greatest common factor of 30 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(2\/11))\/(f**(1\/21)*f))**50)**(8\/5) assuming f is positive.\nAnswer: f**(-4240\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8557, 8453, 8295, 8095, 7865?\nAnswer: 7617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 18. Let h be l(-6). Let j be (-4 + h + -4)*-1. Suppose j*n = -t + 4, 0 = n + 3*t - 8 - 4. Solve n = 2*s + 4, -w + 5*s = -10 - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -636.64 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5184) - sqrt(5184)*2)\/(sqrt(1452) - (sqrt(1452) + (sqrt(1452) - (sqrt(1452)*3 + sqrt(1452) - sqrt(1452))) + sqrt(1452))).\nAnswer: -12*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157008922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 118774 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*a - 89*a - 30*a - a. Solve -9*q + 71 - 134 = a for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (490\/(-588))\/(65\/2028)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-4) - -1) + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2539 - 2524 - (17 - 9\/3))*(0 + 34)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2095?\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -274*k**3 - 10*k**2 - 7*k + 5. Let b(u) = -548*u**3 - 17*u**2 - 11*u + 9. Calculate -3*b(w) + 5*x(w).\nAnswer: 274*w**3 + w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) + 33\/6. Let l be -2 + 210\/8 + 5\/(-20). Suppose -5*d = -d - l. Calculate the greatest common factor of d and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-7 - -16)*((-224)\/(-72) - (0 + 3)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 97. Suppose 0 = -l*d + 106 - 76. Suppose 15 = 13*j - d*j. Solve -j*r + 7*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954 is divided by 458.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*t - 1 = h, 0 = -3*t - 2*h - 8. Let g be (t - -3)\/((-3)\/(-14)). Let k = -3 - g. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 34.3.\nAnswer: -102.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -405 - -399. Let u(p) = -4*p**3 - 33*p**2 + p - 36. Let k(c) = c**3 + 8*c**2 + 9. Let n(i) = -9*k(i) - 2*u(i). Determine n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 3)*(-702*i**2 + 1261*i**2 - 772*i**2 + 4) in the form x + t*i + g*i**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -150\/103?\nAnswer: -150\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 102, 73, 24, -45, -134?\n\"Answer: -10*j**2 + j + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1. Let j(g) = -29*g + 8. What is j(z) - 2*u(z)?\nAnswer: -29*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 381 and 18?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -8, -4, 10.\nAnswer: -8, -4, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121010212 (base 4) in base 11?\nAnswer: -22a121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + 1470 = 6*h. Let q(o) = 42*o - 35. Let d(c) = -c + 1. Calculate h*d(w) + q(w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + (178\/2 - 4) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409567939.\nAnswer: 11, 31, 137, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, 2, -3, -14681, -4, 0.5, 4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -11*i**2. Suppose -f - 8*w + 12 = -6*w, -4*w + 4 = -3*f. Let v(r) = f*r**2 - 1932*r + 1932*r. Determine p(v(q)).\nAnswer: -176*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4 - 1 + 5 + 7*l**2. Let v = -5 + 8. Let z(s) = 0*s**2 - v*s**2 + s**2. Give n(z(m)).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66641821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -62, -115, -184, -275, -394?\n\"Answer: -k**3 + k**2 - 39*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*v + 5030 = -27*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*j = -13, 2*j - 11 = -2*b + 5*j. Suppose 5*q + 3*l + 94 = l, q + l = -20. Let k be (q\/(-14))\/(3\/2). Which is smaller: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*o**2 + 69*o**2 - 26*o**2 + 1 - 1.\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*r + 4*r. What is the remainder when (-7 + -2)*(-8 - 1) is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*h - 2197 - 3004 - 12489 = 11754 for h.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.896902 litres in millilitres?\nAnswer: 9896.902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*((sqrt(187)*1 - sqrt(187)) + sqrt(187)))\/(1*sqrt(99)) + ((sqrt(2057) + 0)**2 - sqrt(17) - (sqrt(68) + -3)) + 0 + sqrt(1377) + 0.\nAnswer: 22*sqrt(17)\/3 + 2060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-4) + (6 - 2). Let d(u) = 7*u. List the prime factors of d(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (6 - 6) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -99, -62, 71, 324?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 556, 557, 558, 559, 560, 561?\n\"Answer: d + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.4 + 8.431. Let i = 3.031 - d. Sort -19, i, -3 in descending order.\nAnswer: i, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l - 15. Let o be j(7). What is the greatest common factor of o and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1)*(-5)\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/457950 and 157\/274770?\nAnswer: 1373850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 7. Let t be h(3). Let b(j) = -t*j**2 - 22*j + 22*j. Let p(u) = -12*u + 12*u + 3*u**2. Determine b(p(s)).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 w, and 1 c when three letters picked without replacement from {r: 4, n: 2, l: 2, b: 7, w: 1, c: 1}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5121 is divided by 2457.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 10. Let l be c(12). Let h be l\/((-34)\/10 + 3). Solve -4*m - 4*i = -2*m + 4, -h*i = 4*m + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqeg when four letters picked without replacement from eeeetgteettgtttetq.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -689 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 + 188. Let d = -24 + v. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19825007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 784393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 108873 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 2:12 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 417, 901, 1559, 2379, 3349, 4457, 5691?\nAnswer: 7039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5, m: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -869 or -968?\nAnswer: -968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*f + 3 + f**3 - 6*f + f**2 + 20*f + 2*f**2 - 5*f**3 to t*f**2 + o*f**3 + m*f + i and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000004334436 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 551436 and 669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 8:53 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q - 6. What is b(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5245.116 tonnes to micrograms.\nAnswer: 5245116000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1890, 1876, 1844, 1788, 1702, 1580, 1416, 1204?\n\"Answer: -n**3 - 3*n**2 + 2*n + 1892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/33 and (-1)\/24 - (1 + 4 + -5)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 134468 * 0.2.\nAnswer: 26893.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/5, 0.245, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 9:02 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 777950021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*p - 21660, -r - 4*p = -3*p - 4332. Suppose -3*c = f - 5*c - r, 3*f - 4*c = 12996. Let b = f + -2281. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2. Let h(c) = 1818856801*c. Calculate h(q(r)).\nAnswer: 3637713602*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 310 + 3*n**4 - 313 + 3*n**2 - n**2 + 2*n**3 + 3*n**4 to the form x*n + j*n**4 + a + r*n**3 + w*n**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 2*x**2 + 3 + 2*x**2 - 2*x**2 in the form s + t*x**2 + g*x and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 20*a + 3 = 0. Suppose 2*l - 15 = a. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3922 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1312323023 (base 4) to base 7.\nAnswer: -4066106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 227*c**3 - 37*c**2 + 178*c - 38. Is 55 a factor of y(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190394 is divided by 95066?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 82333597 a multiple of 2482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 11*w + 20. Let b be p(8). Let i be 6*b\/32*-2. Factor i*g**4 - 2*g + 2*g**3 - g**2 - 1\/2.\nAnswer: (g - 1)*(g + 1)**2*(3*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.419 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by 7?\nAnswer: -69\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.303 + 1684139784?\nAnswer: 1684139783.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3}. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + 25 + -58 + 21?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 86*b**3 + 6*b - 3 - 35*b**2 + 35*b**2.\nAnswer: -86*b**3 + 6*b + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -2 (b) 0.5 (c) 3\/4 (d) -392 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4411, 17189, 38333, 67843, 105719?\n\"Answer: 4183*m**2 + 229*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-27) + (-32)\/(-18). Let q = -10 + 14. What is the nearest to z in -1, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -197 - -10?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/2 - (38 + (-1163220)\/20).\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - 6*a + 10. Determine c(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/140 + (-8384850)\/(-42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*y - 572 = 161 + 719 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 628\/5 + (-8)\/(-20). Let o be 9\/18 - z\/(-4). Let i = o + -158\/5. Which is the third biggest value? (a) 11 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 26 - 3*q + 24. Let l(a) = 4 + 27*a - 25*a - 3 + 0. Determine -5*l(r) - 2*n(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -967 != -25137\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/176872 and 41\/32.\nAnswer: 707488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c**2 + 1023*c - 4108. What is u(4)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 20689 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59.46834 - -26797.61366. Let o = l - 26904. Let d = 47 + o. What is d rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (22\/3)\/(8\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*f + 1. Suppose -w = y - 1, -8 = -5*w + y + 9. Suppose -13 = -3*l - 2*o, -o + 22 = 4*l - 3*o. Solve -w*i + 2 - 7 = -l*z, f*i - 4 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-27)\/30*-6 + (-3)\/(-5). Let p be s*(50\/4 - 2). What is the highest common divisor of 42 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 5*s**2 - 5. Suppose -3*l - 19 = 4*q, -4*l + 6*l - q = 2. Let h(d) = d**2 - 1. Suppose -3*o + 0*o + 15 = 0. Give l*r(k) + o*h(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 636\/(-848) + (-840430)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 0*g - 4*g + 8351, -d - 3*g = -2792. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 3604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 64 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g. Let s be 8\/28 + 2\/(-7). Let y(x) = -x - 1. Let a be y(s). Let f be 28\/(-16) - a\/(-4). Calculate r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 3*p**2 + 2*p - 3. Let k be q(3). Suppose 0 = v - 0 - k. Put 0.4, 1\/5, v in ascending order.\nAnswer: 1\/5, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -235149?\nAnswer: -235148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b4af4 + -f?\nAnswer: 2b4ae5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from jsttbboooo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -11\/2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112)*-1*6*-4)\/(-6*sqrt(11)*1 - sqrt(33)\/(sqrt(3)*3)).\nAnswer: -576*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 30665197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -105, -145, -201?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33055 - 13*l**3 - 33055.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 + 0.1322. Let i = r - 0.6222. Which is the biggest value? (a) i (b) 2 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 + 18 - (15 + -2)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -2. Let z = 1 + -0.5. Put l, -2\/5, z in decreasing order.\nAnswer: z, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 20143712?\nAnswer: -20143716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430679715.\nAnswer: 3, 5, 23, 1248347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2, 3\/7, 65 in descending order.\nAnswer: 65, 3\/7, 0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5*2*(-2)\/(-4))\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -29. Let q = 16 - v. Suppose -32 = -5*d + 13. Calculate the remainder when d is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74974*o**4 + 78649*o**2 wrt o?\nAnswer: -1799376*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/3384 and -71\/54144.\nAnswer: 54144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -346*s*x**3 + 34*s*x**2 + 144791*s*x + 5*s + x**3 - 10*x**2 - 8 wrt x?\nAnswer: -2076*s*x + 68*s + 6*x - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0671 - 0.0329. Which is the nearest to 2? (a) -0.5 (b) o (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, q: 3, a: 3, k: 3}. Give prob of sequence kvk.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 41 = 3*v, -4*m + 4*v - 23 = -15. Let w(c) = -1 - c + 1. Let q(x) = -x. Let n(t) = m*q(t) - 4*w(t). Let b(y) = -2*y. Give n(b(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 10:57 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406767.\nAnswer: 3, 135589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3\/5 - 20*l**2 - 6264*l\/5.\nAnswer: 4*l*(l - 54)*(l + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 198926546 less than 183.05?\nAnswer: -198926362.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -465\/4 + 117. Let w = 3 + -11\/4. Suppose 0 + n*g**3 + 1\/4*g + w*g**4 + 3\/4*g**2 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 14, -4, 62, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3000223*a - 2208010 wrt a.\nAnswer: -3000223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7 - -34.3. Let j = 40 - l. What is the second smallest value in j, 0.3, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 549, 1090, 1631, 2172, 2713?\nAnswer: 3254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -1\/4*d - 59\/24*d**3 - 27\/40*d**5 + 69\/32*d**4 - 13 + 19\/16*d**2. What is l in o(l) = 0?\nAnswer: 2\/9, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r - 2. Let k be (-2 - -3) + (-3 - (-5 - -13)). Calculate z(k).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2278591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**3\/3 - g**2\/2 - 64*g. Give r(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/59, -0.2, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*m - 3 - 3, 5*m - 2*c - 10 = 0. What is the second derivative of -m*r + 2*r**2 + 0*r**2 - r wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**2 - s + 1. Let c be u(1). Let k(v) be the first derivative of 2 + 0*v**2 + v + 0*v**c - 1\/2*v**4. What is the first derivative of k(t) wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -240?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 2*l - 446. What is the highest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 = 7*a + 100. Let n = -11 - -15. What is the highest common divisor of a and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-180))\/(12*4\/(-54)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3827\/(-645))\/((-2)\/(-933)). Suppose -8279 = 3*j - 2*g, 2*g = 5*j + 5*g + 13830. Let p = u - j. Calculate the common denominator of p and -27\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -617\/7 + 88. Let z = 0.843 - -0.027. Let w = z + -1.37. What is the second smallest value in w, p, -2\/7, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1179910*f**2*q - 642782*f*q wrt f?\nAnswer: -2359820*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 24*n**2 + 169*n - 3709. Give c(25).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5569 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**2 - 930*w - 24035 = 0. Calculate w.\nAnswer: -23, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -4521055 = -4521055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*h*k - 38502*h + 301*k wrt k.\nAnswer: 19*h + 301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 14. Let n be ((-15)\/6)\/(r\/(-4)). Suppose -k + n*a + 3 = -5*k, 4*a = -k - 9. Solve 6*g + 16 = -2*c + 3*g, 5*c = k*g - 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-2 + (1 - 1) + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -986 (b) -2\/7 (c) 2\/11 (d) 0.5223\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 2*q**3 - 4*q)*(6*q**2 - 3*q**2 + 0*q**2) + q**5 - 2*q**5 + 2*q**5.\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**2*j*j)))\/(j**(-8)\/j)*j**(-8)*(j\/((j**8*j*j)\/j))\/j)\/(j\/(j\/(j**(-2)\/j))*j**(-2)*j*j*j**2*j*j**(2\/21)\/j) assuming j is positive.\nAnswer: j**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let x(l) be the first derivative of 31*l**2\/2 + 8*l + 232. Let h(q) = 61*q + 19. Let p(r) = 2*h(r) - 5*x(r). Calculate p(c(a)).\nAnswer: -33*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/49 - 108\/245. Let n = -12.13 - -0.13. Let g = -10 - n. Sort g, -4, r in increasing order.\nAnswer: -4, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 5:22 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z - 30. Let t = 62 + -63. Let k be -11 + (5 + -5 - t*4). Let j be v(k). Solve -2*h - h = -2*i + j, -3 = -2*h - 5*i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 629*c**2. Let p(k) = -2*k**2. Give p(y(m)).\nAnswer: -791282*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2 + 124*h - 77. Is 14 a factor of b(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 12) + -12 - (0 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -70234.\nAnswer: -491638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + ((-6)\/(-2))\/((-3)\/(-2)). Suppose m + 0 = 5*j + 4*h, -3 = -2*j - h. Solve -4*o - 3*v = -0*o, 3*o + 3*v = -j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218650582 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b - 4 + 10*b**2 + b**3 - 3*b - 9*b + 6*b**2. Let o be r(-17). Let h be 4\/14 - (-75)\/o. Put h, -4, -3\/5, 2\/9 in decreasing order.\nAnswer: 2\/9, h, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11145 (base 10) to base 3\nAnswer: 120021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/((-22)\/4) - 9) + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-3)\/((-7)\/(-14)*-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -215401 and -0.5.\nAnswer: 107700.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/5 - 108*h**3\/5 + 303*h**2\/5 - 198*h\/5.\nAnswer: 3*h*(h - 33)*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9102*g**2 + 4892*g**2 - 1126*g**2 + 2404*g**2.\nAnswer: 15272*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/4 and 29\/968.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v - v + 4*v + (0 + 6 - 1)*(-2*v + 2*v - 2*v) - 23*v + 40*v - 23*v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(684) - ((sqrt(684)*-1 - sqrt(684)) + sqrt(684))) + (-5 + sqrt(684) - sqrt(684)) + 2)**2.\nAnswer: -360*sqrt(19) + 68409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 29321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41572*x - 83143*x + 15*x**3 + 41561*x + 12*x**3 - 2*x**2 to the form a*x**2 + b + n*x + l*x**3 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1339 + 0.0339. Let f = 9.14 - 0.14. Which is the third smallest value? (a) f (b) d (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67790.\nAnswer: 2, 5, 6779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 8. What is the third smallest value in -2, -4, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 68*d**2 - 588*d + 99. What is q(10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - 1)\/(-2))\/((-635)\/(-13970))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 295 + -2654\/9. What is the nearest to -1\/4 in 0.5, m, -5\/4, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2499 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/77 - -149\/385. Let k be (-4 - 55\/(-15))\/(0 - 1). What is the nearest to d in 0.5, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7624 and 514372220?\nAnswer: 3812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 651 or 5860\/9?\nAnswer: 5860\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 5*s**2 - 2*s**2)*(s**2 - 4*s + 4*s)*(431*s - 429*s + 2 - 18).\nAnswer: 2*s**5 - 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-920)\/(-6)*15*(-5)\/(-25). Let b = -440 + y. Let m(h) = 5*h**2 - 3*h + 3. Calculate the remainder when m(4) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 358715, 358709, 358703, 358697, 358691, 358685?\n\"Answer: -6*i + 358721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((-4)\/(-6) + -1). Let t = -554 + 3874\/7. What is the closest to k in 3\/7, -2, t?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785 (base 10) to base 9.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 2\/17, -63?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 519455, 1038846, 1558237, 2077628?\nAnswer: 2597019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-6)\/h*h))\/h**(9\/2))\/((h**(-2\/5)\/h)\/h)**42)**(2\/139) assuming h is positive.\nAnswer: h**(1033\/695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-7*z - 5*z + 2*z) - 8*z + 0 + 3*z - 1 + 2*z + 2*z - 2*z + 1 - 2*z - 1 + (2 - 4 + 4)*(z + z - 3*z) - 5*z + z + 2*z.\nAnswer: 21*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -20. Let k(n) = 19. Let p(a) = k(a) + q(a). Let s(b) = b - 15. Let o = -6 + 4. Let x(c) = o*p(c) + s(c). Find the first derivative of x(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 10. Let h be j(8). Suppose k = h*k - 5*t - 5, 3*t + 9 = 0. Does 11 divide (-1 + -10)*(k + 9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92 - 118 + 270)*(2*l**4 - l**5 - 2*l**4 - 3*l**5 + 5*l**5 + 0*l**5 + (0*l**5 - 4*l**5 + 3*l**5)*(0 + 2 - 4) + 2*l**5 + 4 - 4).\nAnswer: 300*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1704 is divided by 200.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 13*w + 75*w - 2387. Let v(p) be the first derivative of 5*p**2 + 1\/10*p**5 - 3*p**3 - 7\/2*p + 1\/2*p**4 - w. Suppose v(m) = 0. Calculate m.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 53 = 3*u, l - 2 = -12*u - 0*l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2. Let g(q) = -3153442*q. Determine g(m(t)).\nAnswer: -3153442*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 14) to base 13\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 3*u**2 - 8*u - 12. Give j(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -56706 + -4.33230262\nAnswer: -56710.33230262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 50*-292\nAnswer: -14600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than -46643?\nAnswer: -46643.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - 6*a**3 + 11*a**3 - 3*a**3 - 3*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 43645352 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -349 equal to 2\/843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 1382697216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r + 38*r + 35*r.\nAnswer: 84*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-36)\/(-4) + -1. Calculate the highest common factor of 6 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 241.900551 + -241.89. Round h to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -269399, -269403, -269409, -269417?\n\"Answer: -n**2 - n - 269397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*t - 3*a - 114, -3*t = -2*a - 111. Let p = t + -313\/8. Let b = -3 - -4. Which is smaller: b or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b - 22*b = 192. Let w = 14 - 13. Let k(p) = -p + 1. Let n be k(w). Sort n, b, -2.\nAnswer: b, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 588 in 2, -1\/5, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1304, 4704, 10380, 18338, 28584?\n\"Answer: j**3 + 1132*j**2 - 3*j + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 53*m**3 + 4*m**2 - 6076*m - 12165. Calculate w(-2).\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 4*b**2 + 6*b + 7. Let k be q(-5). Suppose k*o - 20 = 42. Solve v = -3*l + 16, -3*v - 3*l - 7 = -o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63.042 + -91685.9.\nAnswer: -91748.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -921632304, -921632303, -921632302, -921632301, -921632300, -921632299?\nAnswer: -921632298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703752 (base 11) in base 5?\nAnswer: 242213004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 3) to base 5\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 12:00 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*z**2 + 1 - z**2 + (0 + 0 - 2*z)*(-4*z + z + 5*z) + 4*z + 404*z**2 - 400*z**2 + z.\nAnswer: 3*z**2 + 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from {o: 2, c: 1, w: 3, j: 6}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + sqrt(85)\/(sqrt(20)\/sqrt(4)))*-3 + -4 + 2)*1.\nAnswer: -4 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.568 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + c)*(-10*c**3 + 10*c**3 - 6*c**4 + (-1 + 1 + 2*c)*(-2*c**3 + 2 - 2)).\nAnswer: 20*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2)*(752*g + 264*g + 14*g) as q*g + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(38)\/(2*sqrt(2)*-4 + sqrt(2)) + sqrt(190)\/(sqrt(10) + -6*sqrt(70)\/sqrt(7) + sqrt(10)).\nAnswer: -11*sqrt(19)\/28 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -638 - -637.8. Let z = 12.9 - 13. Put -4, z, k, 4 in increasing order.\nAnswer: -4, k, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 157*f + 31*f - 653 - 287 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 677 + 345 = 14*l. Let z = -71 + l. Factor 1 + 4\/3*o + 1\/3*o**z.\nAnswer: (o + 1)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1630 is divided by 1171\/23 + 102\/1173?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 1. Let k = 128 - -52. Suppose -5*y - 5*g = 75 - k, -y = 4*g - 27. Calculate the remainder when t is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 48*q - 67.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 762*k - 9179 - 3137 - 13466 = -3684 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 13 = -p - 6, -2*p = -4*y + 26. Suppose 16 = -y*v - 0. Put 4, -3, v in decreasing order.\nAnswer: 4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: How many minutes are there between 12:08 AM and 2:36 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.419 years to months.\nAnswer: 257.028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12501*j - 12491*j - 30 = -24982*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 h when three letters picked without replacement from {x: 5, h: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3668 + -3683. What is the closest to d in 2\/5, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -4 + (15 - (-4 + 25))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 + 3*s - 3. Let i(o) = -9*o**2 + 5*o - 5. Let u(x) = -7*h(x) + 4*i(x). Suppose 0 = -4*d - 2*d + 6. Determine u(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19123?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -358, -376, -418, -496, -622, -808, -1066?\n\"Answer: -2*x**3 - 4*x - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*o = 203 + 167 + 354 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*r = -136*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 16. Solve -4*b - p = 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdg when three letters picked without replacement from wddwgsgdgwwdd.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2937570 and -3.\nAnswer: -8812710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from gggckxcxcc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v + 6. Let l be (-22)\/((-4)\/(-6)*-3). Let m(y) = -26*y - 29. Let j = -28 - -30. Let n(q) = j*m(q) + l*c(q). What is the derivative of n(i) wrt i?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*1*(-12)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*w**3 - w - 94*w**3 - 50*w**3 + 37*w**3 + 61*w**3 - 109*w**3.\nAnswer: -221*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7535953.\nAnswer: 7535953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yppppyapl. Give prob of picking 1 l and 2 p.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -289.258687 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 43*i**2 - 40*i + 176. Give n(-44).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mumm when four letters picked without replacement from mmmummmmmmmmmummmmm?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 1. Let n(t) = -7*t - 4. Let k be 1*(-2 + (4 - 3)). Let l(y) = k*n(y) - 2*s(y). Let f(v) = -v. Calculate 5*f(d) + l(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 22. Let y = 7884.99896 + -7887. Let w = y + b. What is w rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(-1155*b + 1160*b + 20 + 17).\nAnswer: 5*b + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 217 + -220. Sort 24, 0, r, -5, -4 in descending order.\nAnswer: 24, 0, r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 2. Let b be y(2). Let w = 838 + -835. Suppose -w*a = -a - b. What is the lowest common multiple of a and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/(-60)*(-9)\/6. Let t = -1 - l. Determine f so that 2\/5 + 2\/5*f**3 - t*f**2 - 2\/5*f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(304))*5.\nAnswer: 25 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 2*m**3\/15 - 498*m**2\/5 + 124002*m\/5 + 847. Factor s(t).\nAnswer: 2*(t - 249)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 586*m**3 + 4802*m**2 + 3*m.\nAnswer: 3516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3134\/1341 - 16\/149. Which is smaller: -3 or c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232 - -2?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 + a**2 - 5*a**3 + 0*a**3 - 2)*(-2*a - 5*a + 4*a).\nAnswer: 9*a**4 - 3*a**3 + 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 948999.\nAnswer: -948965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7333, 7307, 7259, 7183, 7073, 6923?\n\"Answer: -g**3 - 5*g**2 - 4*g + 7343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**2 + 0*h**2 - h**2 + 3*h**6 wrt h?\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)*-2)\/(sqrt(1008)*1).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1686225619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 7*a + 70 = 0. Let h = a + -30. Solve -35 = -h*r + 4*l, l = 3*r - 0*l - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -1\/12*x**4 + 0*x**2 + 0*x**3 - x + 0. Let j(y) be the third derivative of y**5\/60 + y**2. Calculate q(j(f)).\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6055.74 and -0.3?\nAnswer: 1816.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*i - 28. Let d(n) = 5*n - 2. Let a be d(-4). Let m be 626\/6 + a\/(-33). Calculate the greatest common factor of i and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/4 - -13\/20. Let o(z) = 4*z - 7. Let i be o(2). Which is greater: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*o + 4*v - 30, -4*o + 36 = 4*v. Calculate the least common multiple of 90 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c - 10*c - 14*c - 11*c + 37*c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451724 to the power of 1\/2, to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116 + 234 + 1146*n**2 + 562*n**3 - 118 - 293*n**2 wrt n.\nAnswer: 3372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -2\/3, 3\/7, 2 in ascending order.\nAnswer: -2\/3, 1\/3, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2384 or -6?\nAnswer: 2384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 + 69*c**2\/8 + 369*c\/8 - 351\/4.\nAnswer: -(c - 39)*(c + 6)*(2*c - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5415*u + 1607 - 4125 - 473 wrt u.\nAnswer: 5415","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26307, 214765, 726289, 1722411, 3364663, 5814577, 9233685, 13783519?\n\"Answer: 26922*h**3 + h**2 + h - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -92 - -96. Let x(l) be the third derivative of -1\/30*l**5 + 5*l**2 + 0*l**3 + 0*l - 1\/12*l**6 + 0 + 0*l**d. What is the third derivative of x(s) wrt s?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314055 divided by 5?\nAnswer: 62811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12 - 12 - (1 + 1)*1. Which is the nearest to 3? (a) -1 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1130220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 22. Let j be 1\/(((-8)\/(-72))\/((-30)\/(-9))). Suppose 5*s = -5*a - 10, 4*a + 26*s = j*s + 8. Put z, 1\/9, a in ascending order.\nAnswer: z, a, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 13. Let n be l(-11). Let u = -1 + n. Let z be (1 + -4)\/((-1)\/u). Solve z*j + 1 = 2*p, 4*j - 1 = 2*p + 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/a**(-3\/4)))**8)**(-1) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 7. Let z be u(5). Let j(g) = -7*g**3 - 2*g**2 - 4*g - 3. Is j(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 95*o**3 - 225*o**2 + 315*o.\nAnswer: 5*o*(o - 21)*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-15))**(-1\/10) assuming i is positive.\nAnswer: i**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5051\/5481 + -27867334955\/10962. Let q = t - -2540407. Let w = q + 1771. Calculate the common denominator of w and 13\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 5:44 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 934336572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*g**3 + 12*g**3 - g**2 + 4*g**2 to d + a*g**2 + v*g**3 + l*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13265*g**2 - 1015 wrt g?\nAnswer: 26530*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5444434981 to the nearest integer?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 313 + -158. Let u = i + -152. What is the remainder when u is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -70680, -70871, -71396, -72423, -74120?\n\"Answer: -28*t**3 + t**2 + 2*t - 70655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1181945, 4.\nAnswer: -1181945, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 101 - 76. Suppose 0 = -4*g + a - 37. Let m be -4*(-92098)\/(-12) + 2\/g. What is m rounded to the nearest one thousand?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 246 (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*t - 9*t + 27*t - t**2 + 44 wrt t.\nAnswer: -2*t - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {h: 2, p: 4, i: 2, o: 1, z: 1, g: 5}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -223 + 274. What is the remainder when 199 is divided by h?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 214?\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*2*(1 + (-1 + sqrt(98) + 1 - (sqrt(98) + 0 + 2)) + 3).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*j**4 + 2577*j**3 + 9*j**2 + 183*j - 30702 wrt j.\nAnswer: -144*j**2 + 15462*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7404 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1131208 in ascending order.\nAnswer: 2, 4, 1131208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 8 + -60 + 30\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 1. Let l = -3 + 5. Let x be -2*3\/(l - 5). Suppose -x*t + 1 = -3*t. Calculate h(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6397 is divided by 156.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u - 9*u + 4827581*u**3 - 3*u - 4827598*u**3.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(3) + -2 + sqrt(3))**2 - (sqrt(6)\/sqrt(2) + 3)) + (sqrt(432) + -3 + sqrt(432) + sqrt(3))*-4.\nAnswer: -109*sqrt(3) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 5*g - a - 13*a - 9 = 7*g, 5*a - 20 = 0 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, o: 1, n: 1, u: 2}. What is prob of sequence bo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*j = -4104 + 744 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -3\/112*g**8 + 6*g**2 + 1\/6*g**5 + 0*g**4 + 0*g**3 + 0*g**7 + 0*g**6 + 0*g + 0. Find the third derivative of j(m) wrt m.\nAnswer: -540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 + 2*r - 6. Let y be ((-2)\/6)\/((-1)\/(-6))*-2. Let k(f) = 6*f**2 + 3*f - 7. Give y*k(i) - 5*w(i).\nAnswer: -i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -20. Let i be ((-12)\/k)\/(1\/(-2)). Suppose 4*g = -i*j + 127, 5*j - j = -g + 191. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42019884 by -14006628.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30910 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2\/13 + 2526*c\/13 + 382624\/13 = 0.\nAnswer: -1087, -176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, 0.3, -1156?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/14 + 2\/(-4). Let v(k) = -k - 4. Let q be v(-7). Suppose -2*j + 6*j = 16. What is the smallest value in q, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1327*o + 487*o = 9240 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 + -141.58. Let p = j + -1. Let i = p - 0.72. Which is smaller: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**4\/30 + n**3\/15 + 17*n. Factor z(x).\nAnswer: 2*x*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -168\/239 + 1318\/1195. Factor -t*z**2 - 3\/5 - 7\/5*z.\nAnswer: -(z + 3)*(2*z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17051 at least -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516, -522, -540, -576, -636, -726, -852, -1020?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 3*h + 7, 0 = -u - 44*h + 46*h - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 9*j + 10 + 10 = -5*o, -j = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2110, -3933, -5758, -7585, -9414, -11245, -13078?\n\"Answer: -c**2 - 1820*c - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -33799297 bigger than -33799298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -20681.\nAnswer: -11\/20681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 148878907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + (-8 - -20) + -12 - -25) + 76\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25.59 + 25.498. Is -4 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(7\/3)))\/o**(-2\/17)*o**(2\/53)\/o**(-1\/42) assuming o is positive.\nAnswer: o**(31693\/12614)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 49*q. Let i(z) = 60986*z. What is i(u(b))?\nAnswer: 121972*b**2 + 2988314*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (1 - 0 - 0)) + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4069?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.64 times -0.38?\nAnswer: -7.4632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/9)*y**(4\/5))\/(((((y\/y**(-7))\/y)\/y)\/y)\/(y*y**(3\/5))) assuming y is positive.\nAnswer: y**(-97\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from {s: 1, l: 3, k: 3, c: 1, p: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*b + 21. Suppose -4*v - 16 = -b*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q + 90. Let i = -3 - q. Calculate the remainder when i is divided by 28*(-1)\/(-2)*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373 + 4*y - 180 - 174 - 183 + 910.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -676090 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 154471 (c) 0.04 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036713?\nAnswer: 3, 345571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 3. Let b(g) = 2*g + 4. What is -4*b(v) - 5*i(v)?\nAnswer: 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 234*c - 13411. Calculate s(-134).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 149, 598, 1047?\n\"Answer: 449*w - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 2:27 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183040 and 2665.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.132323 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 y when three letters picked without replacement from {m: 3, y: 7, u: 3}?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1973, 1972, 1971, 1970?\nAnswer: 1969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/10 + 6\/(-30). Suppose j - 2782 = -3*s + h*j, 0 = 3*s - j - 2797. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110704594 divided by 3146\nAnswer: 35189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = a - 234, -44 = -2*a + m + 449. Suppose -98 = -j - 3*s - 2*s, -a = -2*j + 2*s. What are the prime factors of j?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200312 - -1?\nAnswer: 200313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + (1*sqrt(170) + sqrt(170) + sqrt(170))\/sqrt(10))**2.\nAnswer: -30*sqrt(17) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -509283878 by 4.\nAnswer: -254641939\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84.5 - 84.4. Let u = 125\/3 + -41. What is the nearest to b in 5, 1\/9, u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = l - k, -3*l - 7*k = -2*k + 19. What is the remainder when 6 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c1d5 - 1?\nAnswer: 3c1d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 64 + (2 - -1) + -1. Suppose 0 = f - 4*f + z. Calculate the highest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*x + 27*x = 1568. Let a(r) = r - 8. Let n(h) = h - 12. What is x*a(b) + 5*n(b)?\nAnswer: -3*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/8)\/(2\/(-12)). Suppose 2*q - 15 = -s*m, 23 = 2*q + m + 6. What is the highest common divisor of 2 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = 0, -d - k + 23 = d. Let p(t) = t**2 - 5*t - 27. What is the remainder when p(d) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, 4, 88, -2, -0.27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3*j - 4. Let l be (-82)\/(-4)*(j - -4). Let r = -468 + 473. Solve -r*c - 3*o - l = o, -c + o - 1 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3497 - 3512. What is the closest to -0.1 in -0.19, 2\/9, k?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6581092 weeks?\nAnswer: 398024444.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = h + n, 4*h - h - 4*n = 152. Let v(g) = -179*g + 90*g + h*g. Determine v(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + 7 + (-5 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10748381 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-10)*4\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:11 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*s = 24, 34*g = 31*g + 5*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10.7 + 6.26. Let p = -0.56 + w. Sort p, -0.4, -0.5 in decreasing order.\nAnswer: -0.4, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1548300*b + 13934695. Calculate s(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318378 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26190 and 1080.\nAnswer: 104760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 6911382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.1 (b) 1\/26854 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1355*c - 3 = -1356*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from avjat.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1900.98 - -1901. What is the nearest to r in 1, -3, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12401, 49463, 111233, 197711?\nAnswer: 308897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117876.085 rounded to the nearest 1000?\nAnswer: 1118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 6*l = -5*v + 25, v - 21 = -4*l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 709631301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zziwizizziwzzi. What is prob of picking 2 i and 1 z?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -10)\/2 + ((-1347)\/(-2245) - (-158)\/(-5))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 16 = -2*y + 22, 5*m + 71 = 3*y. Calculate the greatest common divisor of 221 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - 399. Let n = k + 700. What is the units digit of (-2)\/(-4) - n*(-4)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 7:48 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n**2 + 14*n**2 + 1 - 10*n**2 - n)*(-n - n + 0*n + (-1 + 1 - 2)*(n - 4 + 4))*(-3*n - 8*n + n) as s*n**2 + l*n**4 + k + w*n + q*n**3 and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 2:45 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13837898 or -0.1?\nAnswer: -13837898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 244860 + 103*t - 244860 to the form o + l*t and give l.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32496 divided by -8.\nAnswer: 4062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1754.8122ms to minutes.\nAnswer: 0.02924687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7968, 7967, 7966, 7965, 7964?\n\"Answer: -r + 7969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 1710. Let y(b) = 85*b. Give y(s(d)).\nAnswer: 85*d - 145350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030 - 11?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1782 and 74250.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 + 45 - (-3 - 4 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = 0, -7*i + 3*i = -5*k - 21. Let r(t) = t**3 - 2*t**2 + 3*t - 2. What is the lowest common multiple of r(2) and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206*o**2 + 6820*o + 6729225 with respect to o.\nAnswer: 412*o + 6820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66997.37 millilitres in litres?\nAnswer: 66.99737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-72)\/42)\/4)\/1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 30\/17, -8, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t + 28 = 9*t. Let y = -9 + t. Sort -4, 1\/5, y in descending order.\nAnswer: 1\/5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + sqrt(500) + 1 + ((sqrt(245) + (sqrt(245) - (sqrt(245) + sqrt(245)*-2)))*6)**2.\nAnswer: 10*sqrt(5) + 79371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3 = 2*v + 6, -5*k + 4*v + 27 = 0. Find the third derivative of 4*a**2 + 5*a**k - 3*a**3 - 5*a**2 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2044347 and 6814490.\nAnswer: 20443470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-17) + ((-12)\/(-42) - 43728\/94248)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b\/(b*b\/(b**0*b)))\/b)\/b))**(-39)*(b\/(b**(-16)*b)*b)\/(b**(1\/17)*b*b) assuming b is positive.\nAnswer: b**(-1735\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-1\/2)*b*b)*b)\/b)**(-38)\/((b*b*b**(-6))\/(b*b\/b**(-3))) assuming b is positive.\nAnswer: b**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52344*t + 52512*t + 2352 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 6*h + 1772. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45085 and 355.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 953964*f**2*y**3 - 2*f**2*y - 2*f**2 + 57*y**2 + 1764*y wrt y.\nAnswer: 5723784*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27447045, -54894064, -82341083, -109788102?\nAnswer: -137235121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415 = -2*p - 0*p - 5*l, -4*p = l + 803. Let x = -195 - p. Suppose 0*m - j = -4*m + 28, -5*m - 3*j + 18 = 0. Is x not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2. Let u be ((-6)\/(-15))\/(3 - (-28)\/(-10)). Let z(f) = -4*f - 2*f + u*f + 1 + 3. Give z(r(j)).\nAnswer: 8*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-8) + 344\/16. Suppose 4*q = -3*r + g, -2*r + 5*q + 2 = r. Solve r*j - 3 = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69084 and 54036?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b - 129 = -61. What is the second biggest value in 0.1, b, 0.3, -86?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*j + 48*j + 2*q + 1 = 0, -2*j + q = -1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28919?\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 + 15*l**2 + 9*l + 15. Let y be w(-7). Let p(m) = 6*m - 3. Let t be p(y). What is the tens digit of 2\/t - (0 - (-222)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1891 (b) -4\/3 (c) 11\/287\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 - 662. Let r = 452.9 + o. Let i = r - -6.1. What is the second smallest value in 2\/5, 3, 5, i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4 + 7 - 290\/96). Calculate the greatest common factor of a and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.45 + 0.05. Let a be 2\/10*210\/56. What is the closest to -0.2 in -0.5, x, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**5 + 6734*x**4\/3 + 17986*x**3\/3 + 15746*x**2\/3 + 1500*x = 0.\nAnswer: -1, -2\/3, 0, 1125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -116218 rounded to the nearest 1000?\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310598?\nAnswer: 2, 155299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819408.\nAnswer: 2, 3, 43, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-3\/7)\/h)\/h)\/h**1)\/(h**4*h\/(h*h**(2\/7))))\/(((h\/h**(-3\/10))\/(h**(-3\/4)\/h))\/(h\/(h*h\/h**1*h))**(21\/4)) assuming h is positive.\nAnswer: h**(-1081\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -23. Let y(o) = -24*o - 33. Let m(r) = -3*r - 4. What is q*y(z) + 33*m(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 8*l + d - 4*d, 0 = 5*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6 - -5)*4)\/(-2). Suppose -p + 3*p + x - 365 = 0, n*p - x = 367. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1129 - 0.0529. Sort r, -3, 4, 1, -9 in descending order.\nAnswer: 4, 1, r, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -50, -35, -22, -11, -2, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6678271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g - 45. Let a be v(-21). Solve 0 = -2*u + 2*i - 8 - 6, -2*u = -3*i + a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 12*b - 21 = -15*b, -2*k + 31 = 5*b. Let s = -0.3 + 0.3. Let q = -9 - s. What is the smallest value in 4, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence crd when three letters picked without replacement from zdrcg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 4*l**2 + 7*l - 7. Let o be v(5). Let a be 8\/o + (-4)\/6. Suppose 0 = -5*u + 3*x + 14, a*u + 2*x = 7 + 5. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 14*f - 98. Calculate x(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304945903.\nAnswer: 293, 1040771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 461*x**2 + 6*x + 4. What is s(-1)?\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y - 2. Let o(n) = 4*n + 3. Let m(z) = 5*o(z) + 7*u(z). Let w(h) = -h**2 - 2*h + 81. Let i be w(-10). What is m(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 270, 289, 318, 363, 430, 525?\n\"Answer: l**3 - l**2 + 15*l + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39899109 to the nearest integer?\nAnswer: 6317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, -0.1, -64, -91?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*l, -1 = -2*n - 4*l + 3. Let q(u) be the first derivative of -1\/2*u**2 - 3*u - 1. Calculate q(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/16 and -109\/44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4408, -4000, -3356, -2506, -1480, -308, 980?\n\"Answer: -5*q**3 + 148*q**2 - q - 4550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5166517 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: Solve 28931*v - 28979*v + 1920 = 0 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eegeeoofefgf. Give prob of picking 2 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/16 and -35\/158576.\nAnswer: 158576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/569?\nAnswer: -2\/569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:08 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 35. What is l(0)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -666.12 + 666. What is the biggest value in 2, 56, 1, i?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765*g**3 + 10 + 2 - 15 + 3.\nAnswer: -765*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16615*h + 8745*h + 11156*h)*(4*h**2 - 6*h**2 + 4*h**2)*(-h + 3 - 3) to the form i*h**4 + s + u*h + m*h**3 + y*h**2 and give i.\nAnswer: -6572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365216065 is divided by 453.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/725 and 1\/275.\nAnswer: 7975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aifhfxfffxhhhhh. What is prob of sequence xi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 0*w**2 + 1\/168*w**7 + 0*w**3 + 1\/20*w**6 + 1\/6*w**4 + 3\/20*w**5 - 2*w + 0. Factor v(q).\nAnswer: q**2*(q + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 15902*b + 252. Let g be l(24). Round g to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)*q\/(q**(-2\/9)*q)*q)\/(q**(1\/2))**(-2) assuming q is positive.\nAnswer: q**(31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -44, -2\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12837299 to the nearest integer?\nAnswer: 3583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -0.1 (c) -1\/8 (d) -127 (e) -0.4 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r**4 - 4*r**3 - 4*r**2 - 10. Let c(q) = -q**3 - q**2 + 1. Let t(k) = 4*c(k) - h(k). Find the first derivative of t(x) wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101\/280 - -3\/40. Which is the fourth biggest value? (a) i (b) 1\/5 (c) -2\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62098778738 less than -0.04?\nAnswer: -62098778738.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165766*0.3.\nAnswer: 49729.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 13. Does 20 divide (-3 + c)*((-20)\/4 + -51)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 2. Let h = 22 - x. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 250026?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 3\/2 (c) -1\/3 (d) 37 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 999496668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 59, -5, 3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 1:35 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r - k + 10, 0 = 5*r - 2*k - 25. Let o(x) = 4*x**2 + 5*x - 5. Let p(s) = 5*s**2 + 6*s - 6. What is r*p(y) - 6*o(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 3 + 13*n**3 - 11*n**3 + 2*n**4 + 0*n**2 to m*n**3 + s*n**2 + h + v*n + j*n**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 9*d - 2. Let l be u(7). Let g be (3\/l + 0)*0. Suppose 2*n - y - 53 = g, -5*n + y = 5*y - 165. List the prime factors of n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -364 in 7, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -51*x**2 - 34*x - 34. Let q(c) = -c**2 - c - 1. Determine 34*q(r) - s(r).\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(7) + 0 - (sqrt(33)\/(sqrt(33)\/sqrt(3)) - sqrt(3)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 2. What is the second derivative of 15*b**2 + 2*b**3 + 2*b - h*b**2 wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156764409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 579206291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whhwddwyyhydyhd. Give prob of picking 1 h and 1 w.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29173139.\nAnswer: 17, 31, 197, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10929 - 10937.1. Sort 0, q, 48.\nAnswer: q, 0, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -0.7, -4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-77420)\/(-60) + 5)*6. Solve -7774*f + 4 = -l*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2 (b) -0.1 (c) -22 (d) 60 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2977393042 to the power of 1\/2, to the nearest integer?\nAnswer: 54565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -3\/5 (c) 421 (d) 98 (e) -1\/7 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -157552.\nAnswer: -1\/39388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/259 + 2400\/4884. Solve 32\/11*v + 8\/11 + 42\/11*v**5 - h*v**2 - 2\/11*v**4 - 74\/11*v**3 = 0 for v.\nAnswer: -1, -2\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*(2 + -9 - -3). What is the third smallest value in h, 0.01, -2\/13?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**4\/24 + 4*w**3\/3 + 11*w**2 + 4*w. Let u(o) = o - 5. Let k(c) = -5*i(c) - 8*u(c). Let q(d) = 15*d. Give q(k(b)).\nAnswer: -45*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xhxx when four letters picked without replacement from hhhhhhhxhhhxxhhxhhx?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -184229 - 1ca?\nAnswer: -184426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -915 in 3, -4, 3\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -340*u + 1429*u + 13*u to the form i*u + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i\/((i**(1\/22)*i)\/i))*i**(2\/53) assuming i is positive.\nAnswer: i**(1263\/1166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14418936 divided by -39396?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24660, 49255, 73788, 98229, 122548, 146715, 170700?\nAnswer: 194473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 5864560\nAnswer: -1\/1466140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/13, -3, -1\/6, 1\/2, 3, 947?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 3*d - 1\/4*d**4 - 2\/3*d**3 + 13 - 5\/2*d**2. Find the second derivative of r(f) wrt f.\nAnswer: -6*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(3*k - 3*k + 4*k) + (2*k - 68 + 68)*(-1 + 2 - 5).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 125. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -332 - -332.03. Let z = 0.4 - 0.6. Let i = 0 - 0.1. Which is the closest to i? (a) -0.5 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h + 3 - 27*h - 131*h - 195*h - 8*h to the form f*h + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2 + -3 + 12\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42353172 to the nearest integer?\nAnswer: 6508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((48\/(-6))\/8)\/((-2)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 230, 232, 234, 236, 238?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -2\/19, -552, 1\/2, -2\/5, 2\/15, 7\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -12*w**2 + 2*w + 2. Let a be z(-3). Let j be (a\/42)\/((-4)\/6). Suppose 3*s = -s - j. Sort 2, 54, s in ascending order.\nAnswer: s, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8734, -8724, -8714?\nAnswer: -8704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 61*y**2 + 43*y + 75. Let g = -13 + 44. List the prime factors of x(g).\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.95 + -0.05. Let m = -5.08 + 0.08. Let o be (-4)\/8 - 26\/(-36). Which is the third smallest value? (a) o (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 5*z**4\/24 - z**2. Let b be 1\/(-5) - 84\/(-20). Let f(q) = 3 + 2*q - b + 1. Calculate f(c(t)).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -170*n**3*y*z + 2*n**3*z - 105*n**2*z + n*z wrt y.\nAnswer: -170*n**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1100408.\nAnswer: -3\/1100408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yooqwoqyqoqw. Give prob of sequence qoqo.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-6))\/14*(-47)\/(141\/14)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 266. Let z = h - -380. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 13*n - 15*n = -18, 18 = 2*n. Determine u, given that m + 14\/9*u**2 + 2\/9*u = 0.\nAnswer: -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3)*0\/14. Solve 3 = -u - k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*f = -5*f - 582 - 258 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-26)\/24 + 1 + 4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x**3 + 14*x**2 + 6*x + 1. Let g(b) = -25*b**3 + 42*b**2 + 17*b + 1. Calculate -6*g(n) + 17*m(n).\nAnswer: -3*n**3 - 14*n**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 times -0.975?\nAnswer: 64.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9880)\/2470*69\/4?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 31003640*t - 25643*t**2 - 31003640*t as l*t + w*t**2 + j and give w.\nAnswer: -25643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 23*l**2 - 26*l + 7. Let j(z) = -27*z**2 - 30*z + 8. Calculate -5*j(m) + 6*k(m).\nAnswer: -6*m**3 - 3*m**2 - 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/9 - (-46)\/(-3). List the prime factors of ((-39)\/(-12))\/((-4)\/c).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445767563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + 185. What are the prime factors of r?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51280\/3 - -914322397\/53490. Let w = a + -64171\/303110. Calculate the common denominator of -119\/50 and w.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2619 to one dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3\/5)*t)\/t)\/t)**(-15) assuming t is positive.\nAnswer: t**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459028.\nAnswer: 2, 114757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + 0)**2 - (sqrt(19) - (sqrt(171) + -5*sqrt(171) + sqrt(171))\/sqrt(9)).\nAnswer: -114 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*p - 85, -50*p + 49*p = -3*b - 30. Calculate the remainder when 46 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -555, -568, -597, -648, -727, -840, -993?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/5 of a century?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 18, 12, 6, 0, -6?\n\"Answer: -6*r + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/13 - 47714*o\/13 - 477340\/13 = 0. Calculate o.\nAnswer: -10, 23867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 106039\/42 - 22711\/9. Let a = 3092 - 74219\/24. Find the common denominator of z and a.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x**(-2))**(2\/5) assuming x is positive.\nAnswer: x**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49259054?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1641?\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49990599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -15*o**2 - 3*o - 77*o**3 + 39*o**3 + 33*o**3 - 7*o = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = 2868*y - 2886*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let v(z) = 16*z**2 - 5*z. Let q(m) = -80*m**2 + 24*m. Let g(x) = 5*q(x) + 24*v(x). Determine s(g(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3478766 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16736195.7 seconds in weeks?\nAnswer: 27.67228125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781480.\nAnswer: 2, 5, 7, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/8 - (8 - (-6474)\/48). Let q be (26\/o)\/(2 + -1). Which is the second biggest value? (a) q (b) -7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmpm. What is prob of sequence mm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**3*r*s**3 + 326*g**3*r + 3*g*r**3*s**2 - g*s**3 - 2*g*s**2 + 9*r**3*s**3 wrt s.\nAnswer: -6*g**3*r - 6*g + 54*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 16928, -9, 4 in descending order.\nAnswer: 16928, 4, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 21 = -23*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.105183 from 2747.09.\nAnswer: 2747.195183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 224 + 232 = -4*r, 0 = 3*r + 5*c + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 251982240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 2*d**2 + 9*d + 21. What is f(-7)?\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (3 - 4\/(-2)). Let s be w\/(-6) + 28\/6. Suppose 59 = s*x - 1. Calculate the remainder when 45 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4944832?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -0.4 (b) 2\/5 (c) -231 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**6\/120 - x**5\/15 + 5*x**4\/24 + x**3\/2 - 3*x**2. Let m be w(-5). Suppose 9 = m*q - 84. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5877888399 to 5 dps.\nAnswer: 0.58779","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 140 = -50. Suppose -146 = -4*x + 6. What is the highest common factor of d and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvnfnnnvvvb. What is prob of sequence vvf?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 13563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 1. What is the smallest common multiple of p(7) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18662 and 837124?\nAnswer: 2666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 1 + 1)*(-3*r**2 + 5 - 5) - 2*r**4 + 5*r**3 - 5*r**3.\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15827 and 5831.\nAnswer: 110789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 35.874.\nAnswer: 33.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -892673 by 556.\nAnswer: -892673\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75938761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 7*y + 4. Suppose h + q - y*q = 5, -3*q = -h + 11. Solve 0 = -2*a - h*n - 2, -8*a + n = -3*a + 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3, -f + 3*v = 845 + 296. Let o = -1\/86889 + -97634272\/86889. Let l = f - o. Find the common denominator of -24\/5 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -126*v + 9. Let m(h) = -26*h + 2. Let s(n) = -c(n) + 5*m(n). Let p(a) = 12*a - 4. Determine 6*p(d) + 17*s(d).\nAnswer: 4*d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and 0.7.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 17. Let a = x + 1. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t + 0*t + 25 - 1 + 2*t in the form a*t + f and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81 - 81 - 8*w to q*w + o and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*c - 4. Suppose 0 = c*b - 9, s = -3*s + b + 25. Solve -5*t = 4*u - 9 - s, 5*u + 3*t - 7 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 1 + 1 + (2*y + 4 - 4)*(-3 + 1 + 4) + 2*y + 1 - 1 + 9 + y - 9)*(-2*y + 0 + 0 + 2 - 2*y - 2 + (2 - 1 + 0)*(-1 - 2*y + 1) + 0*y + y + y).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n + 4*n + 2*n + 4*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-3*14\/21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 20. Calculate the lowest common multiple of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30793 is divided by 154.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10855409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1326 divided by -6.\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 96 (c) 0.2 (d) 1\/182 (e) 4 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 131 - 129. Suppose 4*h + 2*y = 246, -b*y - 324 = -5*h + y. Calculate the greatest common factor of h and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1264, -5, -3.68, -4\/9 in decreasing order.\nAnswer: -0.1264, -4\/9, -3.68, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 2*8\/18*(-4)\/(-16)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, v: 9, g: 4, j: 2, s: 4}. What is prob of sequence gjg?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = x, 2*m + 2*x + 2 = 0. Let b = 9 - m. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.1 and -0.031808.\nAnswer: -0.2258368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 286 or 291?\nAnswer: 286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 0, 978*f + 13*q = 981*f + 10*q + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -72*l**2. Let h(r) be the second derivative of -11*r**4\/4 + 2*r + 520. Give s(h(k)).\nAnswer: -78408*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 18*a - 29 - 31 - 24*a**3.\nAnswer: -24*a**3 + 23*a - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 28 = -t. Solve 0 = -5*v - t - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 28*z. Let a(m) = 5*m - 12. Let n(u) = -51*u + 126. Let h(v) = 21*a(v) + 2*n(v). Determine h(p(g)).\nAnswer: 84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -215 + 1026. Let j = 694 - n. Let y(o) = -260*o - 117. Let w(v) = 9*v + 4. Calculate j*w(i) - 4*y(i).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -122022 (base 3) to base 8\nAnswer: -723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i - 2. Let f be t(-1). Suppose 4*a = -3*q + 350 - 66, 420 = 5*q - 4*a. Calculate the greatest common factor of f and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**4*x - 9203*k**4 - 5*k**3*x**2 - 2*k**2*x**2 - 7136*k**2*x - 8*k*x**2 wrt k.\nAnswer: 48*k*x - 220872*k - 30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2166*r**5 + 147*r**4 - 89*r - 1471 wrt r.\nAnswer: 43320*r**3 + 1764*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/3 - (-1960)\/(-112) and -13\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -16*r**2. Let u(d) = -2*d**2 - 11*d - 11. Let o(y) = y**2 + 6*y + 6. Let f(m) = -11*o(m) - 6*u(m). What is c(f(v))?\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*h - 105*h - s - 9, 2*h = s - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -176) + 3264\/408. Suppose 0 = 6*p - p. Suppose l - 37 = -p*l. What is the highest common divisor of l and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 13*m**2 - m + 1. Let y be t(13). Let n = y + 18. Let v(q) = 3*q. Let d be v(n). What is the highest common divisor of d and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**2 - 7*a - 4. Let y be p(-5). Find the third derivative of -b**4 + 78*b**2 + y*b**4 + b**4 - 81*b**2 wrt b.\nAnswer: 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11740 - -11739.5. Let s = -0.4 - -0.5. What is the nearest to s in 2\/7, 5.1, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + d = 6, -5*m - 2*d - 1232 + 1258 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -179, -2, 9, -3.\nAnswer: -179, -3, -2, 1, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 42*o + 3598. Give y(-32).\nAnswer: 1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(3*f - f - 3*f)*(14 + f**2 - 14)*(-29*f + 2 - 4 - 60*f).\nAnswer: 89*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103850706*n**3 - 43753712*n.\nAnswer: -623104236*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*(sqrt(102)\/sqrt(150))**2 - ((-1 + sqrt(425))*-4)**2).\nAnswer: -681668\/25 + 640*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 60*h - 186. Let t = 158 + -139. What are the prime factors of j(t)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -27*a**5\/5 + 9*a**3 + 13. Find the third derivative of r(o) wrt o.\nAnswer: -648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 82\/1477 + 3933826\/16247. Let j = y + -242. Let z = 8 - 6. Sort z, j, 4 in ascending order.\nAnswer: j, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iic when three letters picked without replacement from ccicicccicicccic?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 10*m + 8*m + 2*m**3 + 3*m**2 + m**4 - m**2 - 1 as n*m + p*m**3 + y*m**2 + k + o*m**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -13) + (-4 - (20 - (25 - 15))) + -21\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 491 - 493.99. Let u = -0.11 + i. Let f = 0.1 + u. Sort 0.03, 2\/17, f in decreasing order.\nAnswer: 2\/17, 0.03, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31906 and 2872744.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-3 - 20\/(-6)). Let b be 0 - (-2 + 2\/o). Let v(c) = -4*c + 4. What is v(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22 (b) -0.2 (c) 3 (d) 0.5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g + 38. Let t = 96 + -96. Let z be s(t). What is the highest common factor of z and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4708043184 - 0.317.\nAnswer: 4708043183.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n + 12. Let u(x) = 3*x - 11. Let j be u(5). Let v(f) be the third derivative of -f**4\/24 - f**3\/6 + 2*f**2 - 126*f - 4. Give j*v(t) + b(t).\nAnswer: t + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**4\/2 - 88*f**3\/3 + 45*f**2 - 4018. Factor v(o).\nAnswer: -2*o*(o - 1)*(o + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 11 + 2 + (-25 - -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 + 10*b**3 + 20*b**2 + 15*b + 4.\nAnswer: -(b - 4)*(b + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4793 = 2*n - 5*m, -n - 3*m + 260 - 2673 = 0. Let a = n - -3856. Is 22 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2384*w**2 + w - 67402 - 67399 + 134801 as x + u*w + o*w**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q. Suppose 2*i - 10 = -3*i. Let p(v) = -2*v**i - 1 - 1 + 2. Give s(p(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnnnnnnnwnnnonw. Give prob of sequence nown.\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/1*(-41)\/(-123)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*m - 2*b + 4707 = -132*m, -2*b = -2*m + 3158. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let r(t) = -11*t - 3. Let s(y) = 2*y - 1. Let g(m) = 2*r(m) + 2*s(m). What is p(g(w))?\nAnswer: 36*w + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/8 - (-51)\/12. Suppose 3*m + a - h*a = 25, 5*m = 2*a + 23. Differentiate -3*k**m - 2 - k**3 + 7*k**3 wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjlljjjllajlll. Give prob of picking 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1794152 and 1096?\nAnswer: 1096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, a: 3}. Give prob of picking 2 v.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/273480 and -91\/341850?\nAnswer: 1367400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/13 + 163614*s**3 + 565507617030*s**2\/13 + 565505490050*s\/13.\nAnswer: 2*s*(s + 1)*(s + 531745)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*t - 448. Let z = 116 + t. Let g = z - 140. What is the greatest common divisor of 25 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, d: 1, m: 2, b: 2, y: 4, x: 1}. What is prob of sequence bdyy?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36324 is divided by 2781.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/9 + 145250*c**3\/9 - 145244*c**2\/3 - 8*c\/9 + 580976\/9 = 0.\nAnswer: -1, 2, 72622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64 - -7?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -51194?\nAnswer: -51196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 88. Solve o - 3*x - 3 = 3, -3*x - f = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -676*6842\/(-44) - (0 - -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7271 + -189147\/26. Let g = 8\/13 - r. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13695244 by 7.\nAnswer: 13695244\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 16*n + 173. Calculate v(17).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 3584*x - 1942816.\nAnswer: 2*(x - 436)*(x + 2228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 593712 a multiple of 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*q - 3020 + 1036 = 2456. Calculate the lowest common multiple of q and 25.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5862107351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**2 - 5*b**2 + 3*b**2 - 27 + 68228*b**3 - 5*b**2 - 68257*b**3 to the form y*b + h*b**2 + i*b**3 + o and give o.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 16*m + 42. Put 0.4, 2\/9, 12\/7, m in ascending order.\nAnswer: m, 2\/9, 0.4, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2805, 12041, 27613, 49521, 77765, 112345?\nAnswer: 153261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 7*m - 11. Let l be d(9). Find the common denominator of -49\/24 and 78*(-1)\/l + (-1)\/4.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -15, 0 = m + 3*h - 0*h - 8. Are -7 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 7\/4 (c) -3 (d) -1 (e) 62 (f) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 12 = 3*d. Let h = 33 - d. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(112) - (-1 + sqrt(112))*3))*-3 - (((0 + sqrt(7) + sqrt(7))*-3)**2 + sqrt(70)\/(sqrt(40)\/sqrt(4)) - sqrt(21)\/(-6*sqrt(12))).\nAnswer: -258 + 275*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -176, -351, -528, -707, -888, -1071, -1256?\n\"Answer: -l**2 - 172*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 5*s**2 + 4. Let v be h(5). Let z = -0.197 + 0.097. What is the nearest to z in -0.3, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 10. Suppose 0 = -3*p + h*y + 2, y - 6*y = -2*p + 8. What is the remainder when (22\/p)\/(1\/(-9)) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*d + 2*u - 5, -3 = -3*u. Suppose -a - 4*p - 9 = d, 3*a + 2*a - 5*p - 30 = 0. Solve 15 = a*f, -4*b - 4*f = -3*f + 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4\/5 + 31033*z**3\/5 - 62061*z**2\/5 - 31033*z\/5 + 62062\/5 = 0.\nAnswer: -1, 1, 2, 31031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646*n - 644*n + 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/21*-6*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -15*n**2. Let h(z) = -14*z**2 + 12. What is h(g(q))?\nAnswer: -3150*q**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*f**2*o - 13*f**2 - 10*f*o - 35 with respect to o.\nAnswer: -13*f**2 - 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6606366 is divided by 3303159?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.59884094 to 3 decimal places.\nAnswer: -1.599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -286 - 5*g + 0*g + g**2 + 289. Let f be n(6). Suppose 0 = 24*k - 23*k + f. Let b(m) = -m**3 - 8*m**2 + 11*m + 11. Calculate b(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -5 (b) 0.04 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1550 - 28*r**2 + 2901 + 79*r - 2892 - 972 - 17*r wrt r?\nAnswer: -56*r + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -46*u - 611. Determine i(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 21*c - 14. Let s(o) = 64*o - 40. What is -17*i(g) + 6*s(g)?\nAnswer: 27*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**2*o*u**2*z + 216*n**2*u**3*z**2 - 3*n*o*u**2 + n*o*z**2 + 2*n*u**2*z + 5*o*u**3 wrt z?\nAnswer: 432*n**2*u**3 + 2*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*f - 5 = -61*f. Is f\/((-471861)\/(-58983) + -8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*m - 3*p, 876*m - 872*m - p + 5 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -267, -0.5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 78 - 66 = 0. Let a = r - -17. Let b(k) = 2 - 4*k**2 - 6 + a*k**2 + 2. Let i(q) = 2*q. Determine i(b(u)).\nAnswer: 2*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:05 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*p - 10 = -4*i, -3*p = -5*i + 6. What is the second derivative of -14*u**3 - 6*u + i*u - 4*u - u wrt u?\nAnswer: -84*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*y + 304 = 0, 6*y = 2*s + 3*y - 148. Let d = 7 - -11. Suppose -s = -5*o - 3*z - d, 20 = 5*z. 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 z(g) be the third derivative of -g**7\/35 + g**5\/20 + 5*g**2. What is the third derivative of z(q) wrt q?\nAnswer: -144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/19)\/((r*(r\/r**23)\/r)\/r) assuming r is positive.\nAnswer: r**(436\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1980 and 3960.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 735b4 (base 14) to base 7\nAnswer: 2236214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:59 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 6 + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + m + 3 = 0, 3 = 6605*r - 6608*r - m. Which is the second biggest value? (a) -63 (b) -1 (c) 30 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkiiggikgikikiiggi. Give prob of sequence igg.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15906763, 31813523, 47720285, 63627049?\n\"Answer: u**2 + 15906757*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-six fifths of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2559*w + 721633. Give p(-282).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 1310?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (-24 + 32 + 24) - (0 + -31).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 24. Let g be s(22). Calculate the remainder when 20 is divided by 13\/2 + 1\/g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 7, z: 2, a: 6}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006033536 to seven decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 65852591 divided by -6\nAnswer: -65852591\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**6\/24 - 25*g**5\/2 + 3125*g**4\/2 - 312500*g**3\/3 + 40*g**2 + 1. Factor p(f).\nAnswer: 5*(f - 50)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11705839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 - 25*l + 4. Let n be d(6). What is the greatest common divisor of 289 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2521818)\/27840307 + 1\/11*1. Is 6 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112076 is divided by 443.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/(((k*k**(1\/3))\/k)\/k)))**(3\/10)*(k\/(k\/(k*k**0)))**(2\/5))**(1\/20) assuming k is positive.\nAnswer: k**(-1\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 3 - 17*s**2 + 15*s**2 - 2*s. Let j(w) = -w. Let g(u) = -u**2 - 6*u + 5. Let o(y) = g(y) - 2*j(y). Calculate 3*o(f) - 5*t(f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -222.2 - -192. Let u = n + 28.2. Let h = -1 + 1. Which is the biggest value? (a) -0.1 (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 29 + 34)*(3*h + 2 - 2) + 2*h - 6*h + 5*h.\nAnswer: 52*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/9*b - 16\/9*b**2 - 4\/9 = 0. What is b?\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -11. Let q(x) = 1. Let z(h) = -1. Let w(j) = 2*q(j) + z(j). Let n(v) = v**2 - 3*v - 4. Let c be n(3). Let r(k) = k + 5. Determine c*w(m) + f*r(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*1222.\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j - 1. Let z(w) = 1. Let u(o) = i(o) + z(o). Let x(b) = -410*b + 410*b + 15*b**2. Determine u(x(d)).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 1.4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 - l**2 - 5*l**2)*(-l + 3 - 3)*(-2 + 2 + 3*l**2).\nAnswer: 30*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681 divided by 228?\nAnswer: 1681\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 - 55. Suppose -7*n - 897 = -20*n. Suppose n = 2*a - v. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 13. Let j be x(-11). Suppose -3*m = j*m - 100. Let v be ((-30)\/m)\/((-90)\/8). What is the third biggest value in 2\/17, v, 0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 4328982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0578 - 0.057799761. Round y to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1583697 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.73395ml?\nAnswer: 0.00473395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - k = -154, 0*c + 5*k + 322 = 4*c. Suppose -c = -5*w + 3*w. List the prime factors of w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135557001 by -19.\nAnswer: 7134579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -612246 (base 7) to base 10\nAnswer: -104061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*p + 82*p + 567 = 139*p for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1312201322 (base 4) to base 7\nAnswer: 4061306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236 + 1171. Let o = 921 - z. Let g = 2.1 - 2. Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648545275 to the power of 1\/2, to the nearest integer?\nAnswer: 25467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**(-5)\/q)\/q)\/q)\/(q*q\/((q\/q**(-2\/5))\/q)))\/(q**(1\/4)\/q)**(1\/24) assuming q is positive.\nAnswer: q**(-1531\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5 - 33*l**4 - 27*l**3 + 157*l**2 - 96*l = 0.\nAnswer: -32, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 876159 is divided by 907.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385 and 86845?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-100)\/15)\/((-1)\/3). Suppose -4*h = h + 2*g - b, -4*g = 20. Is 4 a factor of (-18)\/(-8)*32\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021437 rounded to 6 decimal places?\nAnswer: -0.000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011210100210221 (base 3) to base 2.\nAnswer: 1000000011100110010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000090545939 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 + 11*m - 1. Let b be x(5). Suppose -b = -5*t + 1, -3*u - 7 = -t. Is 1 + -2 - (u - 1078) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5701825 or -5701690?\nAnswer: -5701690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(20) + sqrt(220)\/(3*sqrt(11)) + (sqrt(120)*2)\/sqrt(6))*2)\/((sqrt(4840) - (sqrt(4840) + sqrt(4840)*-2))*1 + sqrt(4840)))**2.\nAnswer: 200\/9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 2:07 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -559.673039 + 559.373. Let a = 5.7 + -6. Let o = l - a. Round o to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {x: 3, t: 8}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*o + 11. Solve 3*f + 2*k + 3 = 0, 2*k = f + 4*k + o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-13) + (-136)\/(-442)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**6\/3 + 15*v**4\/2 - 13*v**3\/3 + 2*v - 104. What is the third derivative of b(r) wrt r?\nAnswer: 120*r**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -19*o + 22. Let b(g) = 9*g + 38. Let y be b(-4). Find the third derivative of 3*s**y + 7*s**2 - 12*s**4 - 17*s**4 + 6*s**o wrt s.\nAnswer: -696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 11355319?\nAnswer: 45421276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**4\/4 + 5*h**3\/3 + 2. Let r be (-10 + 0)\/(2\/(-1)). Let a be w(r). Let m(k) = -k**2 - k - 5. Determine m(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - 0.6.\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 - 4*u + 4. Let j(f) = -4*f**2 + 3*f - 3. Suppose -488*n + 493*n + 20 = 0. What is n*j(b) - 3*o(b)?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 3) + -4 + (2 - 1) + -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -25. Suppose 3*u - 2*u = m. Suppose -8*n + 10 = -u*n. Solve b - 6*b = n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 3*g**2 + 3. What is the units digit of r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/(-240)*((-26)\/(-4) + -4). Sort u, 985\/4, 0.2 in descending order.\nAnswer: 985\/4, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*p + 3*p - 519*p**2 - 4*p + 55*p + 22*p.\nAnswer: -519*p**2 + 130*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(117) - 4*sqrt(117)))\/(sqrt(1089)*-5)*5 + 5)**2 + -4.\nAnswer: 6753\/121 + 180*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -21*t**2. Let s(h) = 18*h**2 + 3*h + 24. Determine s(i(g)).\nAnswer: 7938*g**4 - 63*g**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 23*l**2 + l - 24. Let f be c(23). Is 9 a factor of -6 - 105*-2 - (0 + f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, 20, 30, 44?\n\"Answer: 2*d**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 26235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(143)\/(sqrt(396)*-2 - sqrt(396)) - (0 + 0 + (-1 + sqrt(13))**2)).\nAnswer: -14 + 35*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*h - 14. Let i(a) = -a + 12. Is 5 a factor of i(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/14656068 and -40\/19.\nAnswer: 14656068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 - -109. Suppose -13*o = -f*o - 44. What is the lowest common multiple of 44 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 1 + 5 - 5. Let k be 2\/(-2*(-3)\/9). Suppose k*v - 20 = -a, 3 = -v - a + 13. What is b(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = 2*y. Let a(j) = j**2 - 2*j - 6. Let p be a(-4). Solve 3 - p = -y*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 - 4617\/(-12). Suppose -6*g = 5*g - i. What is the first derivative of 19*c**4 - g*c**4 + 15 + 1 wrt c?\nAnswer: -64*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 0.1423, 120 in decreasing order.\nAnswer: 120, 0.1423, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, w: 1, c: 6, n: 3, i: 2, o: 6}. Give prob of sequence cixw.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171440?\nAnswer: 2, 5, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (484\/(-132)*1\/(-11))\/(1 - (1 + 2))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*h**3*l**3 - 424*h**3*l**2 + 3*h**2 - h*l**3 + 3*l**3 wrt l?\nAnswer: -216*h**3 - 6*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {p: 5, a: 4, o: 4, h: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4. Suppose r = 3*b, -2*m = -0*m - 3*b - 6. Suppose 29 = 5*v - m*y, 6*y + 20 = 4*v + 2*y. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.16 (b) 3\/14 (c) 30\/79 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.6 + 10.59605. What is i rounded to 4 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2544711613283 + -238\nAnswer: -2544711613521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 2*x**2 + 4\/3*x**3 - 8*x - 11. Factor c(t).\nAnswer: 4*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33091 - -3?\nAnswer: 33094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**5\/15 - 17*x**4\/24 + x**3\/2 - 22*x**2 + 31. What is z(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14.323469 - 15.01356. Let t = -0.23 - -0.92. Let p = t + c. What is p rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*a + 11 = 0, -2 = -2*k - 2*a + 2. Put -5, k, -1\/4, -0.1 in decreasing order.\nAnswer: -0.1, -1\/4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6034 = 68*x - 33234. Calculate the smallest common multiple of x and 520.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/35 at least as big as -0.40177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:42 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9262*x - 25 = -3*h + 9267*x, -4*h + 5*x = -30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 20. Solve -2*z + 7*z = d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 276 - 42. Let y = 233.8 - o. Sort -0.29, 0.2, y in decreasing order.\nAnswer: 0.2, y, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-4))\/(((-80)\/(-3200))\/(1\/10)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 93026, 93018, 93004, 92984, 92958, 92926, 92888?\n\"Answer: -3*y**2 + y + 93028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15077 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + u**2 - 3*u + 3. Let p be o(-3). Let i = p + 10. Solve i*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**5\/35 - b**4\/14 - b**3\/7 + 106. Find j such that i(j) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**4\/12 - p**2 + 64*p. Let j(k) = 81*k. Give l(j(d)).\nAnswer: -162*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/144 and -25\/27?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.9 + 4.3. What is the fourth biggest value in 4, 0.2, i, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5632 and 2728.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32281257 a multiple of 661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 4*t - 1, 5*t + 7 = -3*u + 7*t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/4 - 0) + 1. Let v(s) = s**3 - 11*s**2 - s + 11. Let y be v(11). Solve y = -5*l + 2*w - 29, l - 3*w - 4 = r*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1062, 0.2, 27\/5, -9?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 - 190606?\nAnswer: -190590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143686*s + 143585*s = -6262 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 - 4*a**3 - a**3 + (-2*a + 6*a - 2*a)*(-5*a**2 + 0*a**2 + 4*a**2) + 215*a**3 - 444*a**3 - 8*a + 207*a**3.\nAnswer: -26*a**3 - 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*(2 + (sqrt(17) + (sqrt(85) + sqrt(85)*5)\/sqrt(5))**2 + (sqrt(102)*-5)\/sqrt(6)))*-2.\nAnswer: -3332 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/(-45) - (-13)\/39. Put 0.4, z, -0.4, 2\/57 in ascending order.\nAnswer: -0.4, z, 2\/57, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505 or -446768\/883?\nAnswer: -446768\/883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Let a(m) = 2*m + 9. Let z be a(-4). Calculate the highest common divisor of f and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of u**4\/24 + 25*u**3\/6 + 625*u**2\/4 - 114*u. Factor o(w).\nAnswer: (w + 25)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 <= 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*l**2 - 81*l**2 - 2623*l**2 - 1193*l**2 + 0*l - 3*l in the form p + g*l + s*l**2 and give s.\nAnswer: -3848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 0)*(3 + 0 + 0) - 2 - 1 + 2 + 0 + 2 + 0)*(-5*d + 2*d + 29*d).\nAnswer: 104*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 38*n**2 + 75595*n - 49751. Give s(-1990).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 27 + 2*o - 8.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.37 to one dp.\nAnswer: 10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22863 is divided by 5709?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 28?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*-3176.\nAnswer: -92104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2666155 divided by -2666155?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 7:42 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 8*v - 3. Let j be r(-7). Sort 3, -1, j, 0 in descending order.\nAnswer: j, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m = 27*m - 168. Let z(c) = -c**3 - 3*c**2 - 3*c - 5. Let p be z(-4). Suppose -6*g + 20 = b - 2*g, 0 = -m*b + 3*g + p. Which is bigger: 9 or b?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -72\/44999 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y = -39. Suppose 4*f + i - y = 0, 1 = 4*f + 5*i - 0. Solve 0 = -3*q - 6, m + q = -f*m + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-630)*(-9)\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 282448834650 - 282448834891.000000722. Let a = -240.65 - 0.35. Let r = a - c. Round r to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5c94 (base 13) to base 11\nAnswer: -9960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 3)*(5 - 3 - 3)*(-1 + 1 - 3*n).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p + 27 + 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/8 and 133\/2976.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 22 (b) -6 (c) -3\/2 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 6*s + 644. Let o = 322 - s. Put 4, 13, o in descending order.\nAnswer: 13, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -31. Suppose -f*n = -n + 483. Round n to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 6) to base 13.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/2992 and -115\/3388.\nAnswer: 230384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*-0.0478.\nAnswer: 0.0717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = n - 0*b, -3*n = 2*b - 15. Let i be 49\/42 + 19281\/(-18). Let q = i - -1073. Solve q*t + n = 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2461.6003 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*i - 10*i + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3*(-20)\/6)\/(-1). Is 2 a factor of (-32)\/(-20) + (-4)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, b: 5, d: 4}. What is prob of picking 3 x and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18) - (1 - 312\/540)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4712*p + 259120. What is g(-55)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 9, n: 1, j: 1}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.543747 days to microseconds.\nAnswer: 46979740800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*c + 4*l, -2*c = l - 5*l - 18. Suppose c = 2*d + 3. Calculate the common denominator of -49\/6 and 3\/(-48)*86*d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2496, 2563, 2630, 2697, 2764?\n\"Answer: 67*g + 2429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.3096476 decades?\nAnswer: 37.157712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 19*p + 61. Let a be y(-15). Sort -5, -8, a.\nAnswer: -8, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - z. Let r be (-2538)\/486 - (-2)\/9. Let f(k) be the second derivative of k**4\/6 - 5*k**3\/6 - k**2\/2 + k. Give r*w(t) + f(t).\nAnswer: -3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(((-9)\/3 - -5) + -3). Suppose -3*q + 6*q = v + 14, k = -5*q + v + 22. Let 0 + 8\/3*u**2 + 0*u - 8\/3*u**3 + 2*u**5 - 10\/3*u**q = 0. What is u?\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 8*b - 3. Let h be t(-6). Suppose 0 = h*j + 39992816 + 161607184. What is j rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708915275 a multiple of 5448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 7*t - 8. Let l(v) = -v**2 + 5*v. Let p be l(4). Suppose -28 - 4 = -p*r. Let a = -1 + r. Determine g(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*m**3 - 2 + 50*m**3 + 22*m**3 + 5 + 1.\nAnswer: 6*m**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 1, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**7)**(-10\/3)\/(g*g**(9\/4)*g**(16\/7)\/g))**(9\/4) assuming g is positive.\nAnswer: g**(-7023\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480 = -53*i - 54*i - 804 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - (36 + 1)) + 0 + 44?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 2 + 0 - 4 - 12*a**2 + 4 in the form f*a**2 + m + t*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 78, 79, 76, 69, 58, 43, 24?\n\"Answer: -2*c**2 + 7*c + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172*a**4 - a**3 + 70*a**2.\nAnswer: 4128*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 - 2*v + 10. Let k be c(3). Let f = -58 + 29. Let i = f + k. Solve -2*p = i*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01218102 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*l + 66*l = 8. Sort -3, -77, l in increasing order.\nAnswer: -77, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0 = -10. Suppose s*l = -l + 36. Solve -q = 3*q + l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7967 is divided by 7672?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-1 - -2) - -726. Let f = 569 - 241. Let i = x - f. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, -25, -207, -463, -793, -1197, -1675?\nAnswer: -2227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1326 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -35414570625 - -4?\nAnswer: -35414570621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 35*p**2\/2 - 6*p + 453. Let j(h) = -23*h + 4. Determine 8*j(k) + 5*s(k).\nAnswer: -9*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by 9140\nAnswer: 11\/9140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, 1 d, and 1 s when four letters picked without replacement from ttdattssd?\nAnswer: 8\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-1*2) - (-25277)\/6280. Let q(w) be the third derivative of 5*w**2 - r*w**5 + 0*w + 0 + 0*w**3 + 1\/16*w**4. Factor q(z).\nAnswer: -3*z*(z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3) + sqrt(324)\/sqrt(12).\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 189\/4 + -47. Which is smaller: -7 or u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**29\/(b**14*b)*(b**(7\/6)*b)**(-2\/77) assuming b is positive.\nAnswer: b**(3221\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/6)\/((220\/(-232))\/5) and 168\/44 - 4 - 2674\/660?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13942.1+-2.7508\nAnswer: -13944.8508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-162))\/((-2)\/8) + (-26)\/5616*-308. Factor -3*x**2 + 0 + 15\/2*x**3 - 12*x - d*x**4.\nAnswer: -3*x*(x - 4)*(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/7 <= 812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9427\/79260 + -3\/1321. Let w = -2\/15 - g. Let q = 10 + -10. Which is the second smallest value? (a) -4 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 + 149. List the prime factors of (4\/32*68)\/(o\/(-28)).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86811976 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1836 divide 2528273669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4, 0 = 4*c - 2*h + h - 15. Find the second derivative of 7*b**5 + 0*b**4 + 5*b**c - 5*b**4 - b wrt b.\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(8\/24)\/(2\/(-138)). Suppose -b + 21 = -2*t. Let l(u) = -u**2 - 6*u + 2. Let q be l(-6). Solve 3*g - t = q*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 253.06602?\nAnswer: -248.06602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -25*k**2 - 3*k. Suppose 5*i - 3*v = 12, 2*v + 1 = -102*i + 103*i. Let b(g) = 25*g**2 + 4*g. Give i*b(a) + 4*w(a).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.871 - -6.87. Does 1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145145 (base 7) to base 13.\nAnswer: cabb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 5*y**2 + 1089579*y**3 + 350496*y**3.\nAnswer: 1440075*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 11*j - 15*j. Let a be 36\/15*120\/j. Let r(w) = 2*w**3 - w**2 - w - 3. Let u(b) = 6*b**3 - 3*b**2 - 2*b - 8. What is a*r(i) + 3*u(i)?\nAnswer: 2*i**3 - i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1093.025? (a) 6 (b) 3\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 722414590 to the nearest one hundred thousand.\nAnswer: 722400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -341a45a (base 11) to base 8\nAnswer: -26656073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 768 - 1653*a**2 + 752 - 1523 in the form x*a**2 + d*a + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:38 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -23342301 (base 5) in base 8?\nAnswer: -644436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33*(50\/(-3))\/(-25).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47610 + -29903. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - m**2 - 4*m - 3. Let p(g) = 5*g**3 - 4*g**2 - 22*g - 15. Let u(b) = -11*j(b) + 2*p(b). Calculate u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103? (a) -8\/7 (b) -10 (c) 9 (d) 28.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w - 9 + 9 + (0 - 1 - 1)*(0*w - 4*w + 6*w))*(-3 - 1 - 1)*(-242 - 23 - 70).\nAnswer: -25125*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 1. Let d(t) = 3 - 11 + 153*t + 8 - 161*t. Determine y(d(s)).\nAnswer: 64*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -214*i - 852. Let z be r(-4). Let w = 0.7 - 1. Sort -1\/7, w, z in descending order.\nAnswer: z, -1\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 48*v + 4681. What is the remainder when 941 is divided by t(-91)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 4:31 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 0*p + 1\/24*p**4 - 1\/30*p**6 + 28 + 1\/30*p**5 + 0*p**3 - 21*p**2. Let t(u) be the second derivative of g(u). What is t(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 35. Solve 4 - 16 = m*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000331125 rounded to 6 decimal places?\nAnswer: 0.000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*r - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 449 - 2243\/5. Which is the second smallest value? (a) -5 (b) -0.4 (c) r (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 1. Suppose 3*m + m - 4 = 0. Let h(g) = g**2 + 2. Let w(q) = m*h(q) - 2*y(q). Let u(j) = 39*j. Give u(w(r)).\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11*o**2 - 31*o + 28. What is b(-7)?\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1764 and 2052?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1858.5366 rounded to the nearest ten?\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2. Let w(d) = 36*d + d**2 - 36*d. Calculate w(h(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 42471*o - 4671823. Calculate p(110).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 7*p**2 + 9*p - 6. Let j be k(8). Let b be 3\/j*(-10)\/(-15). Put -0.1, 0.1, b in descending order.\nAnswer: b, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + -0.4. Let j = 0.29 + -0.09. Let d = 0.1 + -0.1. Which is the biggest value? (a) j (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -900 divided by -16\nAnswer: 225\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j = 4*y - 747, 4*y = 5*j + 743. Suppose b - 2 = -1. Suppose s = 3*q + 12 - b, 64 = 4*s - 2*q. Calculate the highest common factor of s and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/4201 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2, -g + x - 4 = 4*g. Let y be -8*(g - -2)*-1. Suppose -2*b = -3*b + y. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q - 20*q + 4 = 0, -4 = -h + 4*q for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1092 and 1162.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.567*0.9382\nAnswer: -0.5319594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - -32) + (0 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 10 = 4*a + 4, -2*a = -3*j + 2. Let o(v) = -v**3 + 16*v**2 - 16*v + 21. Let c be o(15). Let p = 44 + -39. Solve -2*q - l - 3 = -p*q, -c = j*l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 5*n + 3. Let t be y(5). Let p(z) = -z**2 + 5*z + 2. Let g be p(6). Sort t, -3, g in descending order.\nAnswer: t, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -h + 14, -2*b = -3*h - 27 + 69. Suppose -41 = -5*g + h. What is the greatest common factor of g and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15092.2 - 15092.2159006. Let z = o + 712.0730006. Let w = 712 - z. Round w to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 21*h**2 + 53*h**2 - 117*h**2 + (4*h**2 - 4*h**2 + 2*h**2)*(-4*h + h + 4*h).\nAnswer: h**3 - 43*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 313.\nAnswer: -8764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 114 - 220 = 59*k - 54*k, 4*k - 5*s = -260 for k.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 13*h - 385 = 0. List the prime factors of h.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-342)\/(-133) + (-12)\/(-28). Suppose 56 = h + 54, i*f - 2*h = 3263. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/8218 and 27\/728.\nAnswer: 427336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -5*o - 5*p, -14*o + 13*o + 4*p - 52 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -3)\/(16*3\/48). Is -6\/139 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541520513 to the nearest integer?\nAnswer: 23271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 244758 = -13472. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -723*k**3 + 9*k**2 + 6*k + 14. List the prime factors of c(-2).\nAnswer: 2, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - (-72 + 46))\/(-370).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.036 - -0.136. Let t = 0 + 3. Suppose -4*i + 13 = -2*i + t*x, -2*x + 2 = -2*i. What is the nearest to 0 in 1\/4, i, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 37, 4, -56, 5, 0.\nAnswer: -56, -3, 0, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104378.\nAnswer: 2, 52189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, q: 7, x: 2, v: 3, h: 4, n: 1}. What is prob of sequence qqah?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244348 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 78012943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 14, l: 4}. What is prob of picking 3 y and 1 l?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*j - 719*j + 2301*j - 115005 = 0 for j.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q + 2*r = 39, -q - r + 13 = 0. Let n = -10 + q. Solve -2*f - n = 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a minute?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8 = -8. Let x = o - 6. Solve 18 = 5*i - x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*h - 153, -3*h + 255 = 2*h - 3*l. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33, -43, -51, -51, -37?\n\"Answer: q**3 - 5*q**2 - 2*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -1c13c88?\nAnswer: -1c13c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -36, 5, -4, 3, -1146 in ascending order.\nAnswer: -1146, -36, -4, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + u = 37, 93*r = 56*r + 35*r - 4*u + 28 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -96374, -96372, -96370, -96368?\n\"Answer: 2*n - 96376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j = -35*n + 21*j + 67, 0 = -4*n - 5*j + 23 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -63*f**2 - 2*f. Let j(y) = 1891*y**2 + 61*y. Let b(d) = 61*c(d) + 2*j(d). Let t = 132 - 120. Let q(v) = -3*v - 3*v - 5*v + t*v - 3*v. Give b(q(p)).\nAnswer: -244*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 56 = -d, 112*d + 2782*c = 115*d + 2787*c - 68 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + sqrt(704)))**2 - ((-4*sqrt(99) - sqrt(99))**2 + 1).\nAnswer: 1728*sqrt(11) + 23192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:14 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -2. Let o = a - -2.1. Suppose 20 = -24*c + 34*c. What is the closest to o in c, -1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 greater than or equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t - 26*t = 231. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*j - 3*s + 12, -20 = 4*j - 3*s. Is -2 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*h = 10410, 9089 = 4*x + 5*h - 1337. List the prime factors of (x\/16)\/((-5)\/(-20)).\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 544 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -6) + -14 + (11 - -4) + -74?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - k + 15, 4 = -2*t - 4*k - 14. Let h(o) = 3*o**2 + 37*o + 26. List the prime factors of h(t).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q. Let g(s) = 50*s. Let v(x) = -2*g(x) + 35*u(x). Let w(z) = z. Give v(w(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 0*i - 5*i)*(-2*i**3 - 3*i**3 + 4*i**3) + 0*i**4 + 4*i**4 + 5*i**4 + 0*i**2 + 0*i**2 + 2*i**4 + (2*i**3 - 2*i + 2*i)*(i + 4*i - 4*i).\nAnswer: 14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 10*c**2 - 26*c + 28. What is the remainder when 136 is divided by x(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 191810\/9 + -21312. Which is the fourth smallest value? (a) -4 (b) 0.2 (c) -317 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 3*a + 1. Suppose 5*y + 4*y + 18 = 0. Determine r(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 381 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u + 0*u - 13 + 34 - 14 - u**2. Give m(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31241316*d = -31241223*d - 1209 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68142777 or 68142776?\nAnswer: 68142776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -326.3 (b) 3\/2 (c) -564\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -34?\nAnswer: -9\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-2 + 10)) + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a millisecond in microseconds?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15148321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13056 + -3477?\nAnswer: 8468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2 - (1 + -128). Calculate the highest common divisor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293884 = -96*p + 291484 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 92b?\nAnswer: 92a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12158474 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1047503 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-5 - 1799\/35)\/(3\/(-15)) and 1175?\nAnswer: 7050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1621232279 to the power of 1\/3, to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -780063 by 43.\nAnswer: -18141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p + 5 + 6*p + 0 - 4.\nAnswer: 26*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2386, -4773, -7160, -9547, -11934?\n\"Answer: -2387*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**2 - 2*v + 5. Determine r(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2096*c - 192*c - 363*c + 1096*c)*(1 - 2*c - 1).\nAnswer: -5274*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 978878 divided by -1.\nAnswer: -978878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 667285631 + -2471625995313\/3704. Let w = j - -4\/463. Find the common denominator of w and -33\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -404*i**2 - 1651*i - 6. What is g(-4)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 d when four letters picked without replacement from ddgdgdgggdggddddgg?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -996, -2231, -3956, -6171, -8876?\nAnswer: -12071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -13. Let d = 0.17 - -0.03. Let s = -0.2 + d. Which is the closest to s? (a) 1 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7380 divided by -40.\nAnswer: 369\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(-2*sqrt(1584) - sqrt(1584)).\nAnswer: -sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 394*j**3*z**2 - 7*z**2 wrt j?\nAnswer: 1182*j**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c**2 - 5*c + 12. What is the lowest common multiple of m(4) and 4?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - h - 4. Let m(k) = -4*k**2 - 2*k - 7. Let v(l) = l + 2. Let p be v(2). Suppose -2*b = 3*a, 7 = -5*b - p*a + 21. Give b*m(c) - 11*n(c).\nAnswer: -2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/((b**0*b)\/b*b)*b)\/b)\/b**(-1\/3)*(b**(1\/2)*b)**(-11\/5) assuming b is positive.\nAnswer: b**(-59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 44\/12)*-27. Let j = -11 + w. Suppose j = v + 1. Calculate the greatest common factor of v and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/33 and -101\/118.\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6815 a factor of 2088994755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10170, 20653, 31456, 42585, 54046?\nAnswer: 65845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, -1\/3, 2\/2555?\nAnswer: 2\/2555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15042.\nAnswer: 2, 3, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47981.91 decades to centuries.\nAnswer: 4798.191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 - 7*y**2 + 11*y**2 - 4 - 8*y**4 to the form u*y**2 + c*y**3 + b + a*y + w*y**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**3 - 5 + 7 - z - z**2 - 2 in the form f*z**3 + h + j*z**2 + p*z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 6)\/(-1) - 4. Solve -3*g = k*x + 3*x + 9, -g - x - 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-19)\/c)**42)**(17\/2) assuming c is positive.\nAnswer: c**(-7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**3 - 4*s**2 + 4*s + 2. Suppose 0 = 3*b + 2*b + 20. Let o be x(b). What is o rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14140?\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mamomomooojmmoojm. Give prob of picking 2 m and 2 o.\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1\/((-18)\/20 + 1) and -1 + 1 - (-2 - 12).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 20 + 0*r + 6*r)*(13*r - 5*r + 2*r) to the form u + d*r**2 + f*r and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 18, 9, -14, -57?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1269*q**4 + 748*q**4 + 123 + 2550*q**2 + 2564*q**2 - 5111*q**2 + 11*q wrt q.\nAnswer: 48408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgq when three letters picked without replacement from {s: 2, q: 7, g: 3}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lil when three letters picked without replacement from {i: 2, f: 6, u: 2, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.98 - 0.02. Let c = 3.073 + -0.073. What is the biggest value in -1, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*u + 135096375 = 30*u. Let j = u + -5319275. Round j to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7949 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - g + 13. Let z be y(0). Let m = 546 - 545. Sort -4, z, 3, m in decreasing order.\nAnswer: z, 3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpb when three letters picked without replacement from {p: 4, g: 4, l: 4, r: 3, b: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 75. Suppose -5*o + k = 8. Suppose -2*r + o = -2*z - 5, z - 3 = -3*r. Is 0 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 6958*m**5\/5 + 5*m**3 - 23*m**2 - 4*m + 1163. What is the third derivative of n(u) wrt u?\nAnswer: 166992*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134616 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022 - -2010220102?\nAnswer: 2011000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 = -3. Suppose 0 = 2*q + d*g - 3*g, 2*q - 3*g + 8 = 0. Solve -q*m - 10 = -m - 5*k, 0 = -4*m + 2*k - 22 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194422904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iizz when four letters picked without replacement from {i: 3, z: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*a = 6. Let l be ((-18)\/(-180))\/((-1)\/18). Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532845209?\nAnswer: 13, 23, 571, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -18. Let g(x) = 4 + u + x**2 - 6*x + 0*x - 10. What is g(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3072 = 12205*w - 13229*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-630)*5)\/(8*(-1)\/(-468))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = d - 5*k - 8, -5*d + 12 = -k. Let p(f) = 8*f**2 - 35*f + 2. Let b be p(5). What is the smallest common multiple of d and (7 + -1)\/(1\/b)?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5+-177543\nAnswer: -177538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -12 - 40. Suppose 3*b + a = -14. Let d be 7 - 6\/b*-6. Solve 4 - d = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (147*35\/(-2940))\/((-1)\/(-20))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 697615410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -66*((-27)\/6 + 3). Differentiate 26*y + f + 44 - 132*y - 51*y wrt y.\nAnswer: -157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*f**3 - 3613*f + 3613*f)*(236 + 126 + 835 + 590).\nAnswer: 109007*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) -6 (c) 71\/169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*45*(-50)\/3300*8\/(-30)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(-5*sqrt(2)*-1).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*v*z**3 + v + 31*z**3 - 1218 wrt z?\nAnswer: -48*v*z**2 + 93*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -17. Calculate the highest common factor of h and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/5 of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 0*w**2 + 1\/24*w**4 - w**3 + 46*w + 0. Factor n(d).\nAnswer: d*(d - 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -56, 4\/5, 86.8, 4, -5, -0.5?\nAnswer: 86.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -797*i**2 + 1094*i**2 - 13 + 15 to y + w*i**2 + c*i and give w.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -3*j - 6. Solve -3*r + 5 = j*f, 4*r = 7 + 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2129 - -23351\/11. Let w = h - -4830\/781. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.507 + -0.307. Which is greater: n or 0.15?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/17 and 5\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btattabt. Give prob of picking 1 a and 2 t.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14393918*r**4 - 3357576 wrt r?\nAnswer: 57575672*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-708)\/(-10325))\/((-132)\/462).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*n**2 + 304*n**2 + 298*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 2*w**3\/3 - 30. Let g(l) be the third derivative of -3*l**4\/4 - 259*l**2. Determine g(j(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -635 (b) -2\/23 (c) 0.02 (d) -0.21 (e) -0.1 (f) 31 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 7*b + 1. Let s be f(5). Suppose -s + 0 = -2*p. Calculate the remainder when 15 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/96215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 2*x - 17. Let v be h(6). Let q(a) = 1 + v + 4 + 6 - 2*a. Is 2 a factor of q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 3*r + 1. Let b be u(3). Let l be 0\/((-2)\/2*b). Let f be -2 - (-1 - l)*5. Solve -5*i + f*i + 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -16683572*s. Let k(g) = -14*g**2. Give k(r(i)).\nAnswer: -3896782045508576*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 153, 441, 973, 1827, 3081, 4813?\n\"Answer: 13*a**3 + 5*a**2 + 16*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343025412?\nAnswer: 2, 3, 607, 47093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -122*d - 80?\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 1\/3, -1, -261, -2\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63.83465 - -64.26. Let q = -0.0587 + j. Let g = -0.37 + q. Round g to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, a: 3, x: 5, o: 2}. What is prob of picking 1 a, 1 x, and 1 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -602 - -92602. Suppose 0*z + 4*z + u = 0. Round z to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 3:36 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -311202*z**2 + 0 - 2 + 308309*z**2 + (z + 3*z - 2*z)*(3*z - 6*z + 4*z) + 0*z + z**2 + 0*z to the form s*z + r + h*z**2 and give h.\nAnswer: -2890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-11 + (-15 - -15) + -20 + -8 + -1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1642, 6653, 14998, 26671, 41666, 59977, 81598?\nAnswer: 106523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*f + 1 + (-3 + 2 + 3)*(2*f - 4*f + f))*(4 + 1 - 6 - 3 - 1 + 2 + (6 - 5 - 3)*(-32 - 27 + 48) - 3 + 1 + 0).\nAnswer: -68*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22 + 0\/(-3) + 2. Calculate the greatest common factor of t and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a + 50 = 39*a. What is the third derivative of -45 - a*v**4 - 3*v**2 + 0*v**2 + 11*v**2 + 2*v**5 + 43 wrt v?\nAnswer: 120*v**2 - 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.61251 - 466.62745. Let j = u - -427. What is j rounded to 4 dps?\nAnswer: -0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 162195972.\nAnswer: 162195972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95 + -51. Suppose -n = -14*w + 110. Find the common denominator of -19\/8 and (w - 6) + (-10)\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 24088.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 223239371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3293 is divided by 165?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*h + 3 = 5*h, 5*h + 18 = a. What is the second derivative of 4*q**2 + 13*q - 2 + 24*q**a - 13 - q**2 + 4 + 8 wrt q?\nAnswer: 144*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r + 2. Let q = 53 + -51. Sort -3, r, q.\nAnswer: -3, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -7*k**4\/24 + 11*k**3\/6 - 6*k**2. Find the first derivative of a(l) wrt l.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 1\/3*d**3 - 1\/24*d**5 + 0*d - 1\/24*d**4 - 1\/360*d**6 + 1 + 0*d**2. Let q(x) be the third derivative of g(x). What is q(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s + 4*s + 5*s)*(0 - 2 + 5) to z*s + c and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2\/13*u**4 - 4*u - 96\/13 + 94\/13*u**2 + 4*u**3 = 0.\nAnswer: -24, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23253, -93096, -209501, -372468, -581997?\nAnswer: -838088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one tenth of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2 + 113*w - 581. Give y(38).\nAnswer: -2063","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 5*f**2 + 6*f - 1. Let l = -3 + 9. Let k be o(l). Is (5 - 4)\/(k\/(-43)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77*-2*15\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 8*w - 10. Let l be g(6). Solve -4*c - 35 = -3*u, 2*c + 40 = -l*c + 4*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 15402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -0.3, 21, -0.227?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69347\/17065 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/36 and 143\/3258.\nAnswer: 6516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -711*h**3 + 2*h**2 + 2. Let o(u) = -22041*u**3 + 63*u**2 + 63. Calculate -2*o(b) + 63*y(b).\nAnswer: -711*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n - 3*g = -318, 0 = -5*g - 5. Suppose -4*c = 5*y - 72, c - n = -4*c - 2*y. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x**3 + 2*x**2 - 3*x. Let o be m(1). What is the nearest to -1 in -0.3, 1, o, 10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/20 and -53\/140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a week in hours?\nAnswer: 945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1759335?\nAnswer: 3, 5, 53, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -3. Let n be 1*((-2 - a) + 0). Suppose n*w = -3*w. Solve -4*z + 4 + w = 2*q, -2*z = -4*q - 22 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2279127 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 11:32 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - s = -87, -73698*l - s = 73690*l - 147392*l + 81 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 i, and 1 b when three letters picked without replacement from bizixyzvvzii?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14219 less than or equal to 99524\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, -0.00166, 0.4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 divided by -43518?\nAnswer: 131\/21759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -8 (b) -1\/6 (c) 1 (d) 6\/23 (e) -692 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/(9\/(-4)) + 4. Solve u*f + 4*f - 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 - 85. Suppose -2*c + 386 = 2*o, h = -5*o - c + 1016. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 8*g + 7. Let u be h(-5). Let x = u + 245. Calculate the highest common factor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-89)\/(-6) + 6\/36. Suppose 2*v - x = v. 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 -10*l**2 - 7*l**2 + 1 - 1.\nAnswer: -17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4054923 divided by -23713.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1587992 is divided by 176442.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 e, and 1 v when three letters picked without replacement from {q: 1, n: 1, e: 2, v: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**3 - 4*k**2 - 4*k + 4. Let q(p) = 6*p**3 - 3*p**2 - 3*p + 4. Determine 3*g(f) - 4*q(f).\nAnswer: -3*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007907782265 rounded to 6 dps?\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - y + 6*y)*(5*y + 2*y + 2*y) + (2 + 0 - 1)*(3*y**2 - 6*y**2 + y**2) + y**2 + 0*y**2 + 2*y**2 - 2*y**2 + 7*y**2 - 3*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 - 26*g**2 - g - 39. Is r(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(110) + sqrt(110)*-2) - sqrt(110)) + sqrt(110) + (sqrt(110) - -1*sqrt(110)*2) + sqrt(110))\/(-5*-2*sqrt(250)) + 2.\nAnswer: 3*sqrt(11)\/50 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 16 = -434. Let w be y - (-2 - 0)\/(-2 + 4). What is the greatest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2276, 2275, 2274, 2273?\n\"Answer: -y + 2277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, -3.4177, 2 in increasing order.\nAnswer: -5, -3.4177, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123852*h**3 - 94521 wrt h?\nAnswer: -371556*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 9. Let d be s(-5). Suppose -5 = -d*p + 3. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5810?\nAnswer: 2, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**5\/60 - p**4\/8 - p**3\/3 + 550*p**2. Determine w(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 199988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -15, 0*n = 5*l - 2*n - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 10, m + 595 = 3*s - 11455. What are the prime factors of s?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -18*c + 1. Suppose 8*q + 288 = -q. Let i = 42 + q. Let d(z) = 8 + z + 2 - i. Calculate h(d(v)).\nAnswer: -18*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b - 2*t, -3*b - 3*t + t + 4 = 0. Let q be 2\/(-2) + 76 - -2. Suppose -b*l = 5*x - 154, 3*x + 3*l = 19 + q. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 661, 1378, 2151, 2980, 3865, 4806?\n\"Answer: 28*f**2 + 633*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32367 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from kkyyvvkkkymvkkvvkkv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5\/2 + 55075*x**4\/2 - 77696265*x**3\/2 + 29435621425*x**2\/2 + 14756686385*x = 0. What is x?\nAnswer: -1, 0, 791, 9434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 231*x**2 + 6462*x - 168 = 0. Calculate x.\nAnswer: -28, 2\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38350 - 9115. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, m: 2, v: 2, u: 9}. What is prob of picking 1 v and 2 m?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126031540 by 2788.\nAnswer: 45205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 28891 = 77929. What are the prime factors of h?\nAnswer: 11, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000984268 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-41 - (3 + -5)). Let t = o - -152. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -858, -888, -946, -1038, -1170, -1348, -1578?\nAnswer: -1866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-2 - (1 - 2)). Suppose -c*l + x = -22, -2*l + 3*x + 10 = -l. Solve -u + 1 = 4*o - 7, -5*o - l*u = -10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 1, y: 2, t: 1, a: 2}. What is prob of sequence lby?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 50730 to the nearest 1000.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000634756 rounded to five dps?\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + -8 - -3) + (6 + 0 - 3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162602 - 1299013\/8. Is 226 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109605 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072*s + 549*s**2 - 1074*s + 2146*s.\nAnswer: 549*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.554 - -0.494. Which is the closest to 1\/3? (a) -6 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/2 of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -7\/4, -0.085, -0.02, 4 in increasing order.\nAnswer: -7\/4, -0.085, -0.02, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26914203, -26914202, -26914201, -26914200?\n\"Answer: l - 26914204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16711 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p. Let q = 58 - 56. Let o(v) = 5*v - 7*v - 5*v - 6*v**q. Let l(h) = -h**2 - h. Let i(u) = 28*l(u) - 4*o(u). Calculate j(i(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = c + 13, -3*c + 21 = 5*m - 10. Sort m, -1, 3 in ascending order.\nAnswer: -1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 - 157*t + 24649\/2.\nAnswer: (t - 157)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -2*l**3\/3 - 2*l**2 + 3*l. Suppose 2*p - 4*r - 4 = -0*r, 4*r + 24 = -3*p. What are the prime factors of w(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2 = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -15*(-3 + (-40)\/(-12))*-1. Let c(t) = -t**2 - 7*t - 2. Let g be c(-3). Let b be s\/(g\/3296)*1250. What is b rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117221868 divided by -60486?\nAnswer: -1938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-15) + (-44)\/(-6). Let f(w) = w**3 - 8*w**2 + 6*w + 10. Let z be f(g). Suppose -5*c + z = -2*c. Are 3 and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8)**(-21\/2)\/(s*s\/s**10)**(-38) assuming s is positive.\nAnswer: s**(-388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from qkb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.5. Let r = 1 + 2. What is the nearest to -1 in -1\/7, r, q?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (12\/66 + (-352)\/605). Let j be (-13)\/(-3) + 4\/6. Let n = 0 - 1. What is the nearest to o in j, 2\/9, n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9735 or -9402?\nAnswer: -9735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2913 divided by 35\nAnswer: 2913\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + -37?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3884270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(((-32)\/(-4))\/1064)\/((-11)\/22).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 750141*y**3 - 35721*y**2 + 567*y - 3 = 0.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350*y - 141 = 303*y. Let j(q) be the first derivative of -4*q + 17 + 3*q**2 - 1\/3*q**y. Give j(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from cyyklclllyycyyyylyl.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n - 3. Let c(o) = -2*o + 1. Let d(v) = -3*v - 6. Let r be d(-3). Calculate r*b(x) + 7*c(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2457\/(-520) + (2 - -1). Let m = g + 17\/8. Suppose m*r - 6\/5*r**2 + 0 = 0. Calculate r.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**7\/42 + w**3\/2 + 2*w + 6. Let o(l) be the first derivative of b(l). Find the second derivative of o(k) wrt k.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i - 4*v + 996, 2*v - 8 = 0. Let p = 194 + i. What is the smallest value in -33, -1\/7, p, 0.4?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 345.8 - 345.81469. Round g to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299)*3*-4 + sqrt(2299) + (-2 + -3 + sqrt(2299) + sqrt(2299) - sqrt(2299)))*6)**2.\nAnswer: 39600*sqrt(19) + 8277300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 + 668*s - 6784. Determine o(212).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 752\/48 - 5 - 2\/(-6). Solve f = 15*s - 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 590 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 12*c = 3. What is the remainder when (-6)\/(-21) + 26\/7 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 0*a**3 - 2*a**2 - 4*a**3 + 2*a**3 + a. Suppose 3*x + 6 + 5 = 5*g, -10 = 3*x - 4*g. Give f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 7*r + 1. Give j(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -122251403 (base 6) to base 10\nAnswer: -2355195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -17*o**2. Let n(q) = q**2 + 5 - 3*q**2 - 5. Determine v(n(c)).\nAnswer: -68*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(-72)*6 + 1 - 11\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 62*j. Let h(f) = -77*f - 7. Let l(o) = 91*o + 8. Let n(s) = -8*h(s) - 7*l(s). Determine -11*n(c) - 4*u(c).\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*d + 15*d - 29*d)*(3 - 3 - d) to q*d**2 + i + m*d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1762 + 1811 - (-1 - -21)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2 (c) -94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 1. Let x(g) = -g**2 + 5*g - 6. Calculate 6*i(z) - x(z).\nAnswer: z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/3638 and -28\/5?\nAnswer: 18190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xcxzhsshhccccscx. Give prob of sequence szc.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 208600 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1283, -1251, -1175, -1037, -819, -503, -71, 495?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - h + 40. Let r be (-2 - (-10 - -11)) + (3 - -2). Suppose 32 = r*a - h. What is the remainder when 51 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 894718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.4 (b) 35 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) -2\/5 (c) 4 (d) -969 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0024 + -5.0024. Which is the nearest to 3\/2? (a) v (b) 2\/7 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/203? (a) -4029 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, f: 4, z: 5, k: 2, s: 1}. Give prob of sequence zt.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(114) - (sqrt(114) - (sqrt(114) - (1*sqrt(114) + sqrt(114) + sqrt(114) - sqrt(114)))))*-1)\/(-5*sqrt(216)*1).\nAnswer: -2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2.96. Let r = 0.86 - 0.5. Let p = r + b. What is the second smallest value in 2, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 198 - 32 = 0. Let y = d - -121. Suppose 3*o - 363 = -y. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4550*u - 4833. Let w(o) = 9099*o + 9672. Let d(s) = -5*w(s) - 11*z(s). What is the first derivative of d(b) wrt b?\nAnswer: 4555","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -81.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 4*v - 4*t, 29*v - 70*v + 3*t - 32 = -42*v - 0*t for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118 - -86. Let x = -37 - y. Let h(d) = -20*d - 11. What is the remainder when h(x) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0002 and -2.5.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55716 by 6.\nAnswer: -9286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383467082?\nAnswer: 2, 19, 113, 89303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/8, 24.9, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101122212 + 10?\nAnswer: 1101122222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*o - 9*o**5 + 11*o**5 + 8*o wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(6)\/(sqrt(2)*4)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 - 7 - 6 + 11*z wrt z.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 3 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -414210 rounded to the nearest 10000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.852 + 101.2?\nAnswer: 102.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 1. Let l be o(-3). Suppose d = 5*h - 63, l*h - 3*h = 4*d + 5. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 196208860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4268 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28159 = -5*a + t + 27570, -2*a = 2*t - 22294. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*d - 964614 = 293*d. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, -23, 4, -10 in descending order.\nAnswer: 4, -4, -6, -10, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5558, 11107, 16648, 22175, 27682, 33163, 38612, 44023?\nAnswer: 49390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a + 2*s - 58, -5*a - 5*s = 65. Let i be a\/10*5*-1. Let o(x) = -x + 2. Give o(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/45005 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 3*c**2 - 2. Let r be l(-2). Suppose -2 = -2*i - 4*h, r*i - 4 = i - 5*h. Do i and -1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqy when three letters picked without replacement from {t: 4, y: 6, q: 1, s: 2, a: 1, w: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7474 * -8.686\nAnswer: 64919.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/4 (c) -55\/6 (d) -0.5 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2779 + -2784. What is the third smallest value in h, -1, 0.2, 5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 3*n**7\/175 + 259*n**6\/300 - 191*n**5\/75 - 129*n**4\/5 + 24*n**3 - 5378*n**2. Find o such that a(o) = 0.\nAnswer: -30, -2, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hjhhjjjjhjj.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1044*p**3 + 820*p**2 - p?\nAnswer: 6264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 21*w**2 - 43*w - 123. Let q be r(23). Let j(k) = -k**3 - 9*k**2 - 7*k - 5. Let h be j(-9). Let b = h + q. Solve n + b = 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 185 and 265?\nAnswer: 9805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 3. Let k(x) = 2*x - 5. Let l(z) = -5*c(z) - 3*k(z). Let p(s) = 28 + 24 - 70*s + 84*s - 81 + 29. Calculate p(l(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -17*u**2 - 4*u. Suppose -a + n = -2, -a + 2 = -4*n - 3. Let j(r) = r**2 - r. Let i(g) = a*f(g) + 4*j(g). Find the second derivative of i(s) wrt s.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12 + ((-9 - -11) + -2 - -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:34 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/208 + (-6630)\/96 + -8. Which is smaller: -22 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -2\/7, -65734, 0.224?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 9) in base 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 140 + -390623?\nAnswer: -390483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -343 + 2057\/6. Let c = -0.2 + 1.2. Let h be (-22)\/(-2) - 3 - 2. Sort c, a, h in descending order.\nAnswer: h, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9385 + -9361. Calculate the highest common factor of 2712 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 1848*c + 853776.\nAnswer: (c + 924)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from xffbdhbfhb?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*l - 770 = 0, -2*m + l = -6*m + 1035. Let z be (-28897)\/m - (-1 + -2). Let d = -1374\/13 - z. What is the common denominator of d and -43\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1235*i - 1260*i - 5 + 7 - 1 + 4 + 3*i**2. What is c(9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0 - 1\/6*c**3 + 0*c + 1\/12*c**4 + c**2. What is the first derivative of a(y) wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (466\/4 - 1)*(-40)\/(-60). Let y be -1 + h\/21 + 2\/(-3). Solve y*t = 3*j - 8, j + 3*j - 4 = -4*t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431529 (base 12) to base 6.\nAnswer: 34415253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*l - 41, 0 = -4*l + 5*u - 53. Let c = l - -17. Solve -2*a - 5*j = 7, 3*a - c*j + 2*j = 21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c1 (base 14) to base 13\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from aacfcjcfcfj.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 645347229 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 at most 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 358512 and 5442864.\nAnswer: 59871504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -27 (b) -36 (c) -1 (d) 2 (e) -1\/2 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = 178*t - 59 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = n - 16. Let r = -6 - -8. Find the second derivative of 3*a - 5*a**r + 5*a**2 - n*a**2 wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10065 and 63.\nAnswer: 211365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 526246*i + 133*i**2 - 526246*i - 361 wrt i.\nAnswer: 266*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*s**2 + 1373 - 1373 + 3*s to the form j*s + m*s**2 + k and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -178, -214, -276, -370, -502?\n\"Answer: -n**3 - 7*n**2 - 8*n - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**3 + 9*r**2 - 8 - r + 20 + 6*r**3 - r**3. Let b be j(9). Let k(m) = 2*m - b*m**2 - 2*m + 2*m**2. Let n(y) = y. Determine k(n(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20037695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47278472 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22836\/165 + 7\/(-5) + 1.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/247, 64, -1, 7?\nAnswer: -2\/247","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 - 69 = -26*g. Let d be g\/6 - 63\/(-36). What is the second biggest value in 2\/11, d, -7\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - -0.1. Let g = 3.13 - 152.13. Let p = 153 + g. Put -1, -0.2, p, n in descending order.\nAnswer: p, n, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4462 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/3 - 14*-8. Let p = 176 - t. Suppose -53 - p = -5*f. Solve 4*q - y - f = 2*y, q = y + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17465\/4 - ((-273)\/(-52) + -6) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 5, 0.11, 4\/5741, 2\/19?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27.385 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 176140121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = -2*q. Suppose -3*s - 31 = -8*s - 3*g, -4*g = -s - 3. Suppose s*k = -0*k + 20. Solve -b - 5*l - 3 = -q, -3*b + 5 = k*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 19. Let i(v) = -v**2 + 6*v + 5. Let o be i(g). Suppose 3*u - o = 4. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:58 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*n - 791 = -515 + 1770 for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8206 - -2082?\nAnswer: -6124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrvv when four letters picked without replacement from {v: 8, e: 3, i: 1, w: 1, y: 5, r: 2}.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 10) to base 13.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1 + 11*s**3 - 6*s**3 + 2*s - s + 7*s**3. Let m be b(1). Solve 0 = -2*k - k + m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 1199730?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -205727 (base 13) in base 8?\nAnswer: -2702143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v = 41*v + 4. Put v, 4, -7 in descending order.\nAnswer: 4, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 3. Let n = i + 20. Let t = n - -22. What is the remainder when 66 is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28 + 174 - 14 + 200)*(-2*w - w**3 + 2*w) to v*w**2 + j + o*w**3 + t*w and give o.\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o + 1738 - 10202. Is 46 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -4, 0.09?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l + 5436. What is the hundreds digit of q(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/47)\/o**(-29))\/(o**21*o**(2\/9)))**(-8) assuming o is positive.\nAnswer: o**(-26464\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -870 divided by -5.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-2) - 2 - -3. Let g = z + 8. Suppose 3*c = 5*b + 17, 7*c - g = 2*c + 2*b. Which is smaller: -7\/3 or c?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149 or -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4653 - 4649. Solve -2*p - x*i - 7 - 9 = 0, 5*p - 5*i = -10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97358\/13 + 358251\/130. Let n = m - -4728. Calculate the common denominator of 5\/12 and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 265*m**2 + 2*m - 65. Let o(y) = 264*y**2 + 2*y - 65. Let z(u) = -2*i(u) + 3*o(u). Find the second derivative of z(w) wrt w.\nAnswer: 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6690962 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 + 0 + 4329\/27. Is 161 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.88 - -1.68. Let t(b) = b**2 + 21*b - 174. Let c be t(-21). Are z and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -32. Suppose -g*p + 14 = -31. Let q(m) = p*m - 9*m - 7*m. Let z(x) = 21*x**2. Determine z(q(r)).\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(2)*1 + -3 + sqrt(700) + sqrt(700) - (sqrt(3136)*-1 - sqrt(3136))\/(sqrt(7) - sqrt(567)\/sqrt(9))) + 2)**2.\nAnswer: -26*sqrt(7) + 1184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1 + 10\/(-2)*2160\/(-900)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4*(1 + -5) - -4. Let a(s) = -s**3 + 2*s**2 + 20*s - 15. Calculate the remainder when 17 is divided by a(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 + -13673?\nAnswer: -13716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 28 = -7*j. Solve j*y - 25 = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1103313 (base 7) to base 16.\nAnswer: 211da","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45153616357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-156)\/(-9) + 8\/12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783078403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 - -745. Suppose 1036 + 904 = 5*v. Let s = p - v. What is the greatest common factor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = x, -1233*i = -1229*i + x - 2. Which is the closest to 2\/5? (a) -2\/5 (b) i (c) -1\/123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15875 - -15874.999975574. What is k rounded to 7 decimal places?\nAnswer: -0.0000244","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4300 - 3b6c?\nAnswer: -816c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*m - 9969612 - 26927320 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(68) + -1 + -5 + (-5*(sqrt(68) + -1))**2 + (sqrt(68) - (sqrt(68) + 1)**2)*-5 + 1).\nAnswer: -6195 + 264*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 + 189. Suppose -4*p + 87 - n = 0. Calculate the smallest common multiple of 7 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 - -7)) + 2 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -6*q + q. Suppose 0 = 2*k + s - 4, q*k = 2*s - 3 + 11. Solve -3*v + 9 = g - 5, -4 = -k*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-9) + 1 + 2)*48\/(-32). Sort 477, k, 1, 3 in descending order.\nAnswer: 477, 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -686 minus 0.129293?\nAnswer: -686.129293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b45 - 4?\nAnswer: b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**6\/960 - 7*q**5\/160 + 9*q**4\/8 - 29*q**3\/3 - 1166*q**2. Let h(k) = 0. What is k?\nAnswer: -29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 7301449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 154427, 308641, 462853, 617063, 771271, 925477, 1079681?\n\"Answer: -z**2 + 154217*z + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 76, 851, 3076, 7513, 14924?\n\"Answer: 127*f**3 - 37*f**2 - 3*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.002, 1, 60\/7313, -9 in increasing order.\nAnswer: -9, -0.002, 60\/7313, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 17*y**2 + 5. Let p be m(-17). Solve 0 = p*g - 7*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6811755*h**4 - 2*h**3 + 28890*h + 49 wrt h?\nAnswer: 81741060*h**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 20355.\nAnswer: -20355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303605?\nAnswer: 3, 5, 59, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**3\/3 - 4*o**2 - 9*o - 15. Determine j(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*3*23\/((54\/(-108))\/((-12)\/72))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -97 + 154. Let d = k + -53. Let m(q) = q**3 + q**2 - 6*q - 3. Let w be m(-2). Solve d*o + 7 + w = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.2. Let s = 426 + -425. Which is the nearest to h? (a) s (b) 2\/9 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(3 + 2 - 6)*(89*n - 89*n + 12*n**4 + (0*n + 0*n + n)*(n**3 + 2*n**3 - 6*n**3) - 7*n**4 + 5*n**4 - 20*n**4).\nAnswer: -26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 25*q + 188. Let g be y(11). Suppose -5*m = -j + g, -3*j = m + 4*m - 1409. Is 78 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1. Let j = -16 + 14. Let c(w) = 4*w**2 + 3*w - 2. Let n(g) = j*a(g) - c(g). Find the second derivative of n(l) wrt l.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 868192 to the power of 1\/2, to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-130174)\/(-183))\/(-97)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70898 is divided by 621.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 10:19 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.13 (b) -1\/7 (c) 0.16 (d) 2\/17 (e) -0.15 (f) 1\/5 (g) 3\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 65*c - 22. Let m be s(5). Let g = -273 + m. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*1 - sqrt(40))\/sqrt(8) - (1*sqrt(80))**2.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212390857 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 e when four letters picked without replacement from ddddeddddedddddddddd?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -364585 bigger than -364606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 24. Let x(a) = 2*a - 12. Is 3 a factor of x(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 3*j**2 + 4*j + 3. Let r be v(4). Suppose r + 1 = o. Let n(u) = -o*u + u - u. Let b(s) = -2*s**2. Determine b(n(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 - -143) + -162 + 56?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121129676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhnllnhlnnhnnlllhhn. Give prob of sequence ll.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*q - 12 = 0, 3*q - 12 = -3*v - 0*q. Suppose 0 = -4*g - 0*t - 3*t + 9, -g + v*t + 8 = 0. Is 10 a factor of ((-20)\/g)\/((-6)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/20)\/((-8)\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 759.87.\nAnswer: -18236.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -36*(-6)\/24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4645 (base 9) to base 4.\nAnswer: 311303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1120*p**3 + 3*p**2 + 3*p + 30. Let f(d) = -2096641*d**3 - 5615*d**2 - 5615*d - 56150. What is 6*f(n) + 11230*t(n)?\nAnswer: -2246*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1313, -968, -393, 412, 1447, 2712?\n\"Answer: 115*k**2 - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2583, 2579, 2573, 2565?\n\"Answer: -v**2 - v + 2585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/9))**(-35)*(y*y*y\/y**(2\/11))**4 assuming y is positive.\nAnswer: y**(-2734\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 454986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.4 - 11.2. Let g = a - 7.9. Is g smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 11*v**4\/8 - 68*v**3\/3 + 166*v**2. What is the remainder when 115 is divided by d(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(252) + -4*(sqrt(252) + 0)).\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0675 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 423 + -599. Let g = 176.9 + u. Round g to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m - 8. Let q be n(-6). Suppose q*k + 10 = -k. Let d = k + 4. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*d - 37*d + 94*d + 2 + 33*d**2 as z + r*d**2 + x*d and give r.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4281 - 4281 + 220*v to n + j*v and give j.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 5*m**3\/3 - 4*m**2 - m + 8. Let c(a) = a**2 - a. Calculate -6*c(w) + k(w).\nAnswer: -w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Suppose -t*y - j + 9 = 0, j = 2*y - 3*j + 18. Let a(h) = 8*h**3. Let i be a(y). Solve -3*n = n - i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12075 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 30 = -3*b. Let m = -7 + 10. Suppose 0*u + m*t - 21 = -3*u, 2*t = -5*u + 38. Solve -5*c = -2*z + b, u - 29 = -c - 5*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/6)\/((-5)\/(-10)). Suppose 25 = -u + 6*u + t*k, 7 = -4*u + 3*k. Put u, 5, -2 in descending order.\nAnswer: 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25\/17 - -259\/153. Let p = -11 - -10. Sort 0.5, o, p.\nAnswer: p, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32745306 less than -32745307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, m: 4, b: 4, g: 1, x: 2}. What is prob of picking 2 x and 1 r?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 0. Let z = w + 0. Let i be 21\/(-28)*2\/(-6). Which is the smallest value? (a) z (b) 2\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 70, 277, 684, 1357?\nAnswer: 2362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 - -40.5. Let b = r + 2.45. Let h = -1.95000137 + b. What is h rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 11*w**3 - 8*w**3 - 21*w**3 - 2*w**2 - 3*w**3 + 17 to d*w**3 + a*w + s*w**2 + i and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -67. Let q = -30 - h. Calculate the highest common divisor of 42 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 13*s**2 + 4*s - 26. What is v(13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79117494?\nAnswer: 2, 3, 317, 41597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*r**3 + 10*k**2*r + 35*k**2 wrt r.\nAnswer: -3*k**2*r**2 + 10*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0756 + 0.0456. What is the nearest to -0.02 in 1\/3, 2\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)\/p)\/(p**(-6)*p*p))\/(p**(2\/5))**(2\/107) assuming p is positive.\nAnswer: p**(-1074\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5771 + -22985\/4. Calculate the common denominator of -67\/1074 and a.\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 61640.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a - 73b21?\nAnswer: -73a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*l**4 + 21*l**2 + 229 with respect to l.\nAnswer: 20*l**3 + 42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f - 3. Let o(d) = 0 - 363*d - 5 - 1 + 352*d. Calculate -7*i(m) + 3*o(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 162 - 78. Calculate the remainder when 208 is divided by g\/(((-44)\/12 + 3)*-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 107\/(-15) - (232\/60 + -4). Let m(s) = -3*s**3 - 7*s**2 + 26*s + 67. List the prime factors of m(y).\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k. Let h(p) = -53*p**2. Calculate h(z(r)).\nAnswer: -212*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 23 = 3*i - 3*a, -26 = -4*i + 2*a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*2*1*-5.\nAnswer: -80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -t - 5*l - 0*l, 4*t = 2*l + 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -450692 (base 16) to base 11\nAnswer: -260a774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**5\/60 - v**4\/12 + 5*v**3\/3 + 113*v**2 + 5. Determine t(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10462547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20.5 + -17. Let k = 0.5 - s. Let z = 6 + k. What is the third smallest value in -2\/7, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 - -124. Calculate the least common multiple of f and 165.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**7\/210 + 19*n**6\/90 - 7*n**5\/5 + 2*n**3 + n**2\/2 - 80*n. Let c(v) be the second derivative of s(v). Factor c(g).\nAnswer: 4*g*(g - 2)*(g + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.074 - -0.274. Let h = 16.37 + z. Round h to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 907, 903, 899, 895, 891?\n\"Answer: -4*d + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6554.545 nanograms?\nAnswer: 0.000000006554545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -12 - 5 + 7 - 7*t + 2*t - 5. Give a(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -172b7a2 + 4?\nAnswer: -172b79a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -58327041 != -58327036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*m = -2*u + 4, 3*u - 16 = m. Suppose -38 = -q - 2*h + 5, u*q - h - 127 = 0. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 95, 23 in descending order.\nAnswer: 95, 23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 17, -62, -3 in increasing order.\nAnswer: -62, -5, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 + 1.5. Let f be 20\/21 - 20\/30. Which is the nearest to 3? (a) f (b) p (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/5 + 6102*c - 4652900.\nAnswer: -2*(c - 14450)*(c - 805)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Let u be ((-15)\/20)\/((-1)\/a). Suppose u*p + 2 - 26 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*((-1)\/(-3) + -1). Suppose -7*l + 50 = -i*l. Let d(m) = -m**3 + 19*m**2 + 19*m + 16. Let s be d(20). What is the second smallest value in s, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**4 + 2164*n**3 + 154084*n**2 + 3037884*n + 5476680 = 0 for n.\nAnswer: -461, -45, -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 27*w + 2. Let c(s) = 13*s + 1. Let p = 802 - 800. What is p*b(x) - 5*c(x)?\nAnswer: -11*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/(x**(-7)\/x)*((x**(-4)\/x*x)\/x)\/(x*x\/x**(-2\/13))*((x\/(x**(-2\/3)\/x*x))\/((x*x**3)\/x))\/((x*x**8)\/x**(-9)) assuming x is positive.\nAnswer: x**(-487\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*p + 15. Suppose -5*z + 2*j = -10, -2*z = p*j - 5*j - 3. Suppose -5*q + 4*y + 3 = -28, q + z*y = -13. Solve q*m = 7*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1819\/29 (b) -1\/7 (c) -3\/2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53382 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d + 6. Determine m(-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*k + 3*r, r = 9*k - 6*k - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u + 5*u + 25*u - 4*p = p, -12*u + 11*u + 12*p + 6 + 85 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + (2*sqrt(1452)*-2)\/((-2*sqrt(66)*6)\/sqrt(11)))*-4)**2.\nAnswer: 2816*sqrt(2)\/3 + 17792\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**8*j)\/j*j)\/(j**(-2\/11)\/j)*j**(-1\/2)\/j*j*j**(-8))\/((j*(j\/(j*j\/(j\/j**(2\/9)*j))*j)\/j)**(1\/50)\/(j*j**0)**(2\/5)) assuming j is positive.\nAnswer: j**(15079\/4950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = -s + 35*y + 77 + 135, 5*s + 14 = -4*y - 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 4\/27, -1387?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -352 * -288.649.\nAnswer: 101604.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/8)\/q*q*q*q*q*q**(-2\/13)*q**0\/q*q**2 assuming q is positive.\nAnswer: q**(413\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-373)\/5*-27 - (-32)\/120*3 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/178 and -87\/10.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 7 + 0*k**3 + 0*k - 242\/9*k**4 - 44\/45*k**5 + 2*k**2 - 1\/90*k**6. Factor i(h).\nAnswer: -4*h*(h + 22)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15 + -5)*(-2 + 1). Let w be j\/(-4)*(-144)\/(-60). Is 6 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -20*(-2 + 297\/36 + -6). Which is the nearest to -0.2? (a) 3.792 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00804318 rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8117, -32495, -73123, -129995, -203105, -292447?\n\"Answer: q**3 - 8131*q**2 + 8*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -333 * 0.34.\nAnswer: -113.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a - 6. Let i(j) = -j**3 - 3*j**2 + 4*j + 6. Let b be i(-4). What is the remainder when 67 is divided by n(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -3*a**7\/20 + a**6\/240 - a**5\/3 + 15*a**2. Let l(q) be the third derivative of o(q). Is l(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1270\/4445)\/(((-224)\/245)\/(-8)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by -665.\nAnswer: 87\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -92. Suppose 2*m + x*m = 2*b - 198, -306 = -3*b + 3*m. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-5 - -6) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**5\/40 + 17*v**4\/48 - 3*v**3\/8 - 444*v. Suppose k(r) = 0. Calculate r.\nAnswer: -9, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjhkkhmwmwhmwwhhhwj. What is prob of picking 3 h and 1 k?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 1 = -16*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1100120021000 (base 3) to base 9\nAnswer: -1316230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + (4\/(-4) - -3). Solve 3*w = f*w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2*l + 6. Calculate the common denominator of l\/(-5) - (-687)\/(-30) and 4\/3 + -1 + (-2596)\/(-330).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-50))\/(2\/(-80)*4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 21479*u - 1. Let p(h) = -2*h**2. Determine a(p(m)).\nAnswer: 8*m**4 - 42958*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*-6*(sqrt(847) + (sqrt(847) - (0 + sqrt(847)))**2)*1*-1.\nAnswer: 396*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/122400 and -73\/48960?\nAnswer: 244800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(567)*6 + (sqrt(567)*2 + sqrt(567))*3 + 2.\nAnswer: 2 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + n**2 + 8*n - 13. Let v be o(2). Are v and -8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1855\/(-21) + -9)*-6?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + 132. Let z = -52 + w. Let p(y) = y + 86. What is the units digit of p(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -179, -338, -5 in ascending order.\nAnswer: -338, -179, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1305542, 1305434, 1305328, 1305224, 1305122?\nAnswer: 1305022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-5))\/((-2)\/(-4)) + 0. Suppose -218 = -3*z - r*p, -4*z + z - 5*p = -217. Let v = z + -13. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 795680335 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4103\/66 + (18113\/(-354) - -51)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2. Let z(v) be the third derivative of 0*v - 45*v**2 - 8\/3*v**3 + 0 + 0*v**4 + 1\/60*v**5. Calculate z(b(w)).\nAnswer: w**4 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -4. Calculate the remainder when 75 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11101 - 5?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132668 - 932523\/7. Let v = -555 - u. Which is greater: -4 or v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = g + 15, 0*g + 2*g + 18 = -5*d. Sort -5, 2, g, 5 in ascending order.\nAnswer: -5, g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3657*o - 3667*o = -q - 50, -20 = -q - 4*o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + g + 4 + (-7*g + 15 - 15)*(-1 + 3 - 3 + 14 + 0 - 4 - 3 - 3 + 5 + (-3 + 2 + 2)*(-4 + 1 + 2) - 3 + 3 - 1).\nAnswer: -41*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - 93 - (10656\/(-88))\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76\/3 + 25. Let i = -45.1 - -45. Which is the closest to 1? (a) -3 (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.13 and -159181.\nAnswer: -159181.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 29*j - 385. Let d be l(-39). Let k = -0.1 - -0.5. What is the third biggest value in -1, d, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 - -57. Suppose 21*g - 20*g - 13 = o. Solve g = 5*f + 38 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 297 and 204165.\nAnswer: 6737445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -536.271 rounded to zero decimal places?\nAnswer: -536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 1:38 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**3\/2 - 7901*j**2 - 61756825*j\/2 + 2649832458 = 0.\nAnswer: -7943, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88282*521.\nAnswer: 45994922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3037777035?\nAnswer: 3, 5, 137, 1478237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -23) + -3 - 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 761 = 7. Calculate the remainder when 509 is divided by q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -27*i**3 + 4*i**2 - 10*i - 32. Is s(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 4*z - 1032. What is the greatest common factor of 6 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/2943 and 76\/7521?\nAnswer: 67689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 1, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -1 (b) -5 (c) -0.4 (d) 0.2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkztktkztkk. Give prob of picking 2 k.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/25)*y\/y**(-25))\/(y**(3\/8))**(8\/15) assuming y is positive.\nAnswer: y**(641\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 850 and 225.\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 divided by 280?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50922 minus 0.2?\nAnswer: -0.70922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z*z**(-3\/4))\/(z*z*((z*z*z**(1\/4))\/z)\/z*z)**(-3\/16)*((z\/z**(-8))\/z)\/(z**(-1\/3)*z)*(z**5*z)\/z*z**3 assuming z is positive.\nAnswer: z**(2917\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 - 0)) + (-22 - -19).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3982 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -1 - (-11 + 5) - 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*r - 0*g + 3*g, -5*g = -2*r + 15. Solve 3*h - 2*h = -r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 86757.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.628 and 889.8.\nAnswer: -558.7944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**2 + 7*h**3 + 7*h**2 + (-2*h**2 + 2*h - 2*h)*(5*h - 4*h - 2*h) + h**3 + 4 - 4)*(-4*h**2 - 4*h + 4*h + h).\nAnswer: -40*h**5 + 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -6. Let h = -1 + -2. Let j be 1*(h + (-6)\/(-2)). Put j, v, -0.1 in increasing order.\nAnswer: -0.1, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -173a + -7138?\nAnswer: -8877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-33)\/(-44) - 34\/(-8) is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2744 + 5?\nAnswer: 2749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1203*z**2 - 548*z**2 + 1249*z + 5764*z**2 - 1249*z to the form h + g*z**2 + l*z and give g.\nAnswer: 6419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -834, -833, -832, -831?\n\"Answer: d - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*p - 8 = 5, -n + 6 = p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 10. Let g be 2132\/h*3\/6. Let i = g - 3061\/18. Calculate the common denominator of -69\/16 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*g**2 + 9*g**3 - 11*g**2 + (-15 - 7 + 106)*(g**3 + 4*g**3 - 3*g**3) to the form o*g**3 + m + q*g + r*g**2 and give o.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**4 - 37*a**2*o + o + 173 wrt a?\nAnswer: 4*a**3 - 74*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-6)\/(-45)*(-21)\/378*-315.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5461580 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*q - 888 = 263*q. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + m = 424 - 2364, j = -2*m - 478. Let h = -249 - j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.314488 rounded to zero dps?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 19*t**2 - 97*t + 7. Calculate x(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4540 - 2?\nAnswer: 4534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29951 + -29935. Solve o*a + 0*a = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733*c - 374*c + 216 = 371*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - 325a?\nAnswer: -3268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -96*k**2 - 3*k**2 - 209*k**2 as g*k + m*k**2 + r and give m.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-12)\/6)*-1. Suppose -7 = -l + 9. Suppose 0*k = 4*k + l. Which is the third biggest value? (a) o (b) -2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14328653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.983527 rounded to 2 dps?\nAnswer: -8.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381026 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 2*l**3\/3 - 5*l**2\/2 - 12*l - 18. Calculate the remainder when 517 is divided by d(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + x + 161, 5*z - 5*x = 205. Suppose -5*c + h = 50, 3*h + z = -3*c - c. Let w = 16 + c. Solve 4*v = -2 - w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xeh when three letters picked without replacement from {c: 1, h: 1, f: 1, q: 2, e: 1, x: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5289808*2.\nAnswer: 10579616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-1) - 5\/(-5)*10. What is the lowest common multiple of 22 and (292\/b)\/((-84)\/(-210))?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) -11\/73 (c) -8 (d) -3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*(8\/(-2))\/(-12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2856, 5702, 8548, 11394?\n\"Answer: 2846*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 480*k**3 - k**2 + k - 1. Suppose 18*o - 14 - 4 = 0. Is s(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108999691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2936035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 3*q**2 - 2*q - 4. Let l be v(-3). Let y(j) = j + 1. Let d be y(2). Suppose d*i = 2*i + l. Solve 31 = u + i*u - 4*b, -5*b + 5 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24826278 divided by -5?\nAnswer: 24826278\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 228 - 659 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 727 - 364 + 28*l**3 + 2*l - 364 - 2*l to the form t*l**2 + d*l**3 + c*l + z and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6937303 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*o + 5883, -1492 = -o + 16*k - 11*k. Calculate the remainder when o is divided by 73.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -47665.61 to the nearest one thousand.\nAnswer: -48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxs when three letters picked without replacement from {x: 9, s: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 186 + -106. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + ((sqrt(468) - (-2*(0 + sqrt(468)) + sqrt(468) + sqrt(468)) - sqrt(468))*-6)**2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -6473507?\nAnswer: 6473506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 10:43 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 + 992*w**2\/7 + 17430*w - 248004\/7.\nAnswer: 2*(w - 2)*(w + 249)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*n + 3627 = -29*n - 38*n - 83*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 710453 <= 710435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) + 0) - (-1 + sqrt(17) + 1 - sqrt(17)) - ((-1 + sqrt(34)\/sqrt(2))**2 - (sqrt(17) - 2*sqrt(17)*4)).\nAnswer: -18 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 + -20. Calculate the least common multiple of f and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/63 and 38\/459.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85 - -225. What is the highest common factor of r and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34 - -85.647707?\nAnswer: 85.307707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1505 and 957266?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/888 and -49\/48?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (sqrt(190) - (sqrt(190)*-2 + sqrt(190) - sqrt(190)))*6)\/sqrt(10) + (4*(sqrt(190) + -1*sqrt(190))\/sqrt(10))**2.\nAnswer: -17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/14 - 1)\/(382\/29414) - (73 + -64)\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 923837 or 923893?\nAnswer: 923893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100 - -10?\nAnswer: 10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p + 102. Let v be w(19). What is the nearest to -0.1 in v, -2, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 5*j - 5. Let n be 50\/(-14) + (-2)\/(28\/6). Let z(d) = d - 1. Determine n*z(k) + l(k).\nAnswer: 3*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 + 38*n + 249. Calculate the smallest common multiple of 14 and d(17).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 46*j**2 + j - 419. Let s(c) = -c**4 + c**3 + c**2 + c. Let o(g) = f(g) - s(g). Differentiate o(l) with respect to l.\nAnswer: 4*l**3 - 94*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(-4 + sqrt(52)\/(-1*sqrt(196) - sqrt(196)) + (sqrt(156)\/(-2*sqrt(588)))**2).\nAnswer: -2901\/196 - 3*sqrt(13)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1303032 and -25\/8469708?\nAnswer: 16939416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnrr when four letters picked without replacement from nnnnnnnrrnrrnnrnrrn?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 744569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10567652900 - -10567652725.00000282. Let q = r + 175. Round q to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1241b0 + 29?\nAnswer: -124183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2074591?\nAnswer: 19, 137, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 2*x + 6. Suppose 17*b - 15 = 19. Let h be d(b). Sort 5, h, -1\/4, 1 in ascending order.\nAnswer: h, -1\/4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -11*x**6\/720 - 7*x**5\/120 - 5*x**4\/2 + 36*x. Let w(h) be the third derivative of q(h). What is the tens digit of w(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16071855371\/2261486115 - -1\/3400731. Let l be 1408\/6688*78\/20. Let x = l + w. Which is smaller: -7 or x?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -112, -89, -42, 35, 148, 303, 506?\n\"Answer: t**3 + 6*t**2 - 2*t - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5262149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8749863 and 102330970?\nAnswer: 93581107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 294 - 246. Suppose a*b = 421 + 1931. What is the remainder when b is divided by 47?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 1. Let f(d) = -47*d**4 + 3*d**3 + 19*d + 3. Let z(c) = -f(c) + 3*q(c). Find the second derivative of z(r) wrt r.\nAnswer: 564*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -15. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 a factor of 12463363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 5*v**2 + 2. Let h(p) = 5*p - 2. Let o be h(2). What is the lowest common multiple of (-2)\/(-10) + o\/10 and i(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 3404650?\nAnswer: 2\/1702325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0398 - -192339040?\nAnswer: 192339040.0398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/3 - 4334088*a - 26004576.\nAnswer: 4*(a - 3250572)*(a + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*x - 440 + x + 2*x + 146*x**3 - 46 + 3*x wrt x?\nAnswer: 438*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 70c92?\nAnswer: -70c94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and -0.1212?\nAnswer: 0.0812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 4*w - 15 = -1, 0 = 17*j - 3*w - 0*w - 49 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -17591.\nAnswer: -1\/2513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3120 + 11022101?\nAnswer: 11012321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 6. Put n, 2\/7, -3 in decreasing order.\nAnswer: n, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 - 722\/(-4). Suppose -t + 16 = -2*r. Let c = -507 + 535. What is the remainder when r is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -86, -76, -62, -44, -22, 4?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**5\/20 - 11*f**4\/12 - 3*f**3\/2 + 5*f**2 - 4*f. Is a(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 4*y + 6*c + 24, -38*c - 32 = 166*y - 165*y - 35*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 65*s**3\/6 + 256*s. Let v(x) = -3*x. Let j(z) = -z. Let d(q) = 6*j(q) - v(q). Give d(y(m)).\nAnswer: -195*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhhhbrsnrrnrbhhhrbr. What is prob of picking 1 n, 1 r, and 2 b?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n + 1 - 4*n - 2*n)*(-2*n**4 + 3*n**4 - 3*n**4).\nAnswer: -4*n**5 - 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 144?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/93645 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 + 15*h**2 + 6*h**2 - 3*h**2 in the form k*h + t*h**2 + m and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -184011 divided by -184011?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a century in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 24. Suppose -g + 4 = n. Find the first derivative of -4*h**n + 14 - 2*h**2 + 0 wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*f + 13*f - 29*f + 25 + (3 - 4 - 3)*(f + 2*f - f) + (10*f - 19 + 19)*(6 - 4 + 2) to u + i*f and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-21)*3*(9\/(-3))\/15?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + 0)*(-130)\/5. What are the prime factors of (4 + v\/8)*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15219 is divided by 15216.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-1 - -9) + -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)*y\/(y*y**0))\/(y**(-1\/2))**(-2))\/((y**2)**(-11))**(-2\/17) assuming y is positive.\nAnswer: y**(-95\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285998*n**2 - 572027*n**2 + 286028*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)*d)**50\/(((d*d**(-7\/5))\/d*d)\/(d**(1\/7)\/d)) assuming d is positive.\nAnswer: d**(15574\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0089227662 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 60*y - 899. Calculate z(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(3\/3) - 2. Let i(p) = -p**2 + 2*p + 1. Let t(b) = -3*b**2 + 7*b + 4. Let n(z) = j*t(z) + 14*i(z). What is the derivative of n(s) wrt s?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.7 + -29.105. Let k = -0.305 - r. Which is the closest to 12? (a) 0.3 (b) k (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -22.14, -7, 4, 1\/26, 3\/8, -1\/6?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -192.25 + 195.25. Which is the nearest to 0.65? (a) x (b) 6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1372 divided by 49.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2467619 hours?\nAnswer: 888.34284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - o - 1. Let x be -1 + 1 - -3 - -2. Let p(g) = g - 3. Let w be p(4). Let i(v) = 6*v**3 + 5*v + 5. Calculate w*i(k) + x*m(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7752 - 3637. Suppose -2*i + 7*i - d = 0. Let p = i - 338. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655672?\nAnswer: 2, 41, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7 + 2 - 14*a + 11*a. Let p be c(4). Let d = 25 + p. What is the smallest common multiple of 11 and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1828 = 4912. Suppose r - 1356 = -3*b + k, -b + 1007 = 2*r. What are the prime factors of b?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 2*o + 2*o + 9, 4*f = -4*o - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.829 - 37.871. Let o = -40 - t. Let l = o + 1.2. What is the second biggest value in -0.2, l, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1985*t**2 + 1834*t**6 - 3024*t**3 + 3024*t**3 wrt t?\nAnswer: 220080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 + 3*i**3 - 2*i**3 + (i - i - 2*i)*(142*i**2 + 1528 - 1528) + (4*i - 3*i - 2*i)*(3*i**2 + 2*i**2 - 4*i**2).\nAnswer: -287*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79948*m**2 - 72854*m**2 - 5*m - 21817*m**2 + 5*m.\nAnswer: -174619*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 33*b = -3. Suppose w + 9 - b = 0. Which is smaller: -4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -538?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-70)\/((-16800)\/(-1584)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 399 = 152*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(4*c - 4*c - 2*c) + (13 - 16 + 8)*(1 + 2*c - 1) + 76*c - 3*c - 2*c to v*c + j and give v.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1696.742 rounded to the nearest 10?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 20 = -2*v - 3*w, -1 = v - 2*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 25*r**2 - 8*r - 196. Let n be v(-25). Solve 5*m = -1 - 9, n*c = -3*m + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282563 is divided by 394?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 9*c = 0. Suppose c = 2*b - 210 + 64. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3958 + -1887. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**3 + 17*a**2 + 9*a + 17. Let w(c) = c**3 + 6*c**2 + 3*c + 6. Let y(d) = 17*w(d) - 6*z(d). What is the second derivative of y(k) wrt k?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i**2 - 2*i. Let l be j(2). Let k be (-366)\/(-7) + (l\/(-28))\/5. Let o = 18 + -5. Calculate the greatest common factor of o and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 7*i - 17*i. Solve -x = -i*s - 13 - 8, 0 = 5*x + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1400 and -71\/15615950?\nAnswer: 62463800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from ccococooccc.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2767367 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 48, -162, -4 in descending order.\nAnswer: 48, 3, -4, -5, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 13*f - 119 = 9*f, 2*w - f = 58. What is the greatest common factor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.05, -1, 0, 0.101?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 (base 8) in base 15?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 = -0*u. Suppose -u*i = 7 - 10. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + c + 5. Is 5 a factor of v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 86948?\nAnswer: -86947.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, -4, 0, 7, 5, -3 in increasing order.\nAnswer: -4, -3, 0, 4, 5, 7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 9*c + 2. Let r(i) = 35*i + 98. Let n be r(-3). Determine u(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -164*b. Let k(v) be the second derivative of -v**7\/1260 - v**4\/6 + 13*v**3\/2 - 67*v. Let u(f) be the third derivative of k(f). Determine c(u(g)).\nAnswer: 328*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3647701, -3647623, -3647545, -3647467, -3647389, -3647311?\nAnswer: -3647233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - -1480.\nAnswer: 1480.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000110010 + 10?\nAnswer: -11000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1735 (base 11) to base 3\nAnswer: -10001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*g = -85*g - 2. What is the units digit of 492\/g - (15 - 11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40443725 or -40443729?\nAnswer: -40443729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:03 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 3*m + 8, -r = -4*r - m - 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 20. Let s be a(0). Is -4*s\/(-8) - (-4 - -6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 25 + 7. Let x be 2*((-21)\/g + 3). What is the units digit of ((-3)\/x)\/((-33)\/(-55))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 37de0 - 4?\nAnswer: 37ddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1333, 1338, 1345, 1354, 1365?\nAnswer: 1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 4, 0, 573, -56 in decreasing order.\nAnswer: 573, 4, 0, -56, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19885714 + 19885737 - 39771451 - 3*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + l**4 + (l**3 - l**3 - l**3)*(0*l + 2*l - 3*l) + 85*l**4 - 41*l**4 - 30*l**4 - 2*l**4 - l + l.\nAnswer: 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -156139 at most as big as -156140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.5 - -4. Let j = -2 - m. Which is the smallest value? (a) j (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -205 + (108 - -95) - (-79 - 1)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14809824?\nAnswer: 2, 3, 61, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14866237807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 23435 = -7*l + 12*l, -s + 4707 = 4*l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfu when three letters picked without replacement from {m: 4, u: 3, f: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 130*j - 131*j - 5*h + 6732, 5*h = 5*j - 33510. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17.992 from -0.2.\nAnswer: -18.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 4\/(4\/(-12) - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22811 + 22879. What is the remainder when 1081 is divided by u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 1:54 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -188 and -165?\nAnswer: 31020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1*(-14)\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 233*c**2*l*t + 2*c**2*l + 2*c*l - 602*l + t wrt c.\nAnswer: 466*c*l*t + 4*c*l + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15, -33 in increasing order.\nAnswer: -33, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -985, -1884, -2691, -3400, -4005, -4500, -4879, -5136?\nAnswer: -5265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31832353633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 + 69*g**2 + 37*g - 67. Let x be l(35). What are the prime factors of -914*(x + (-21)\/6)?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c + 5. Let g be f(-5). Suppose -5*k + 5*x + 218 = x, -2*x - 224 = -5*k. Let s = k - g. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.01 - -0.61. Let v = 341 + -346. Which is the fourth smallest value? (a) v (b) n (c) 0.4 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5214 and 111864.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729872?\nAnswer: 2, 11, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 18) + (5 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 4*i + 23. Suppose -355 = -34*m - 57*m + 20*m. Determine b(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 5. Suppose 0 = 5*x - 6 + 16. Let h = x - 2. Let w be a(h). Which is bigger: w or 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48110\/71 + -6136597\/710. Let j = f + 9331. Find the common denominator of 33\/14 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 850509 (base 12) to base 2\nAnswer: 111111111011111011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/6 + 98\/21. Let f(x) = 2 + 7*x - 5 + n. Is f(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.95 plus -16918650592?\nAnswer: -16918650590.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-19)*g)\/g**(-2) assuming g is positive.\nAnswer: g**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12112200 (base 5) in base 7?\nAnswer: 651454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5780997?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 12. What is m(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.023\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 183*s**2 + 105?\nAnswer: 366*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5468 + -2852. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 147450 + -684?\nAnswer: 146766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 17*z - 12. Let c be r(16). Differentiate -c*m**2 - 3*m**3 + 3*m**2 + 19*m**3 - m**3 - 76 with respect to m.\nAnswer: 45*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/8 of a hour in seconds?\nAnswer: 22950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214830 by 3906.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**5\/120 + 5*d**4\/24 - d**3\/3 + 7. Let c(l) be the third derivative of u(l). Give c(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2 - 2)*(-7*y - 2 + 2).\nAnswer: -70*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 420 = -408 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - q + 11 = -0*q, 5*d - 10 = -2*q. Suppose -2*b + 4 + 1 = -3*u, -3*u - d*b + 1 = 0. Let a = u + 33. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 10*q**2 + 17*q - 105. Is s(38) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 5*r - 3. Let j be t(-3). Suppose -j*n - n = 0. Suppose n = -c + 6*c + 310000. What is c rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1180*f**2*x**3 + 593*f**2 - 3*x**3 + 2*x**2 - 7*x + 37 wrt f.\nAnswer: 2360*f*x**3 + 1186*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.74422 - 1.2278. What is y rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28998409, 28998412, 28998415, 28998418, 28998421?\nAnswer: 28998424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 3*w - 2*w + w + w + 0*w + (3 - 3 + 1)*(-1 + 1 + w) + w + w + 0*w + w - 3 + 3 + (-3 - 1 + 2)*(-3 + w + 3) + w + 2*w - w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**6\/120 + d**5\/20 - d**4\/4 - d**3\/2 - 5*d**2. What is the units digit of s(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26*v**2*y*z + 196*v**2*y - v**2*z - v**2 + 10*v*z - 2653*v - 139*y*z wrt y.\nAnswer: -26*v**2*z + 196*v**2 - 139*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 17*n**4\/24 + 79*n**3\/3 + 5*n**2. Let b be l(-9). Suppose 0*j + 3*j = 9. Solve 0 = -b*d + 20, -2*v + 3*d - 9 - j = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 62 (c) 2 (d) -1\/186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69495374 to the power of 1\/2, to the nearest integer?\nAnswer: 8336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*11 + 12 + -7 + -1. Is 445\/2 - q\/30 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 29910*s - 61169043.\nAnswer: -3*(s - 7097)*(s - 2873)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 507*c + 310. Determine m(-2).\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, 3, -7 in descending order.\nAnswer: 21, 4, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -40a25 (base 12) to base 15\nAnswer: -1a028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 22*d**2 + 505*d + 141. Let j(r) = 64*r**2 + 1513*r + 424. Let l(m) = 6*j(m) - 17*x(m). Find c, given that l(c) = 0.\nAnswer: -49, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 1. Suppose -5*c + 4*a + 2 = 7, 25 = -5*a. Let l(r) = 3*r**2 - 4*r + 2. Calculate c*q(j) + l(j).\nAnswer: 3*j**2 + j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53006287*l - 59456468 wrt l?\nAnswer: -53006287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/((-552)\/(-621)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -363 + 420. Let i = -0.02699 - 56.77801. Let m = h + i. What is m rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58869531*r**4 + 47264*r**2 + 305*r + 2 wrt r?\nAnswer: -1412868744*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(((-257)\/2313)\/((-125)\/10))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*f - 5, -5*f = 4*p + p - 30. Let w(j) = 0*j + j + 0*j - j**2 - 1 + 16*j**3. What is the tens digit of w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2199, 2450, 2669, 2850, 2987, 3074, 3105?\n\"Answer: -d**3 - 10*d**2 + 288*d + 1922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 440, 1031, 1862, 2933, 4244, 5795?\nAnswer: 7586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -12*j**2. Let w be (1\/2)\/(1\/108). Suppose -5*o - 37*a + 36*a + 15 = 0, -9 = -2*o - a. Let z(g) = w*g**2 - 31*g**o - 25*g**2. Determine b(z(u)).\nAnswer: -48*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9828 (base 14) to base 13\nAnswer: bc81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.6 (b) -2 (c) -2\/15 (d) 1 (e) -9 (f) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53, 58, 65, 74?\n\"Answer: w**2 + 2*w + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*h - 15*h + 223*h + 623 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1024 + -1020. Let q = -1 - -3. Determine k, given that q*k**3 + k**u + 111 - 112 - 2*k + 0*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/3*z**2 - 28\/3*z - 1\/3*z**3 + 0.\nAnswer: -z*(z + 2)*(z + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67481 (base 13) to base 16\nAnswer: 2dc86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/99 in 0, -448, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*z + 1\/7*z**2.\nAnswer: z**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134011.\nAnswer: 17, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 2299.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 5*s + 3. Let o be a(4). Let v = o - 14. Is -1 - -2 - (-81)\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63\/1408 - 3511\/4224. Find the common denominator of -127\/198 and c.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 1 = -9, 5*q + 22 = 2*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 + -96. Let j = 44 + x. Suppose -13*l + j*l + 5 = 0. Let g(p) = -p**3 - 6*p**2 - 3*p + 3. What is g(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*b**2 - 2300*b.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 506035, 1012325, 1518615?\n\"Answer: 506290*k - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4434 + 4430 - (46 + 0 + 1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 6?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -56*k - 2. What is the remainder when w(-1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.04 (b) -1\/7 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/3582 + -12437\/1791. Calculate the common denominator of n and 111\/(-96)*-4 + 6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641*x**3 - 2*x - x + 3*x.\nAnswer: 641*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3689 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1. Let d(n) = 3*n - 6. Let c(u) = -3*d(u) - 36*q(u). Is 13 a factor of c(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1103000?\nAnswer: -1102332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**3 + 25*v - 97. Suppose -2*f + 2*d + 20 = 0, -8*f = -5*f + 3*d - 48. Is r(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Factor 0*d**3 + 6*d**2 + 0*d**2 - 4*d**3 - 5*d**3 + 3*d**m.\nAnswer: 3*d**2*(d - 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = x. Let y be (x + 24\/15)*-5. Differentiate 3*v - v + 0 - y with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o = -91*o + 719280. 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: Two letters picked without replacement from {j: 6, u: 6, s: 4, a: 3}. What is prob of picking 2 j?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6*12\/2. Suppose 0 = -3*f - 5*p + 20, 26 = 3*f + 4*p - m*p. What is the remainder when 27 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66784019.\nAnswer: 23, 677, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 4*w**2 + 5*w - 4. Let p be c(3). Suppose -5*h + 12000005 = -5*n, -2560601 = -2*h - p*n + 2239397. Round h to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3981 is divided by 989?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*h + 3425377 - 3436233 for h.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -22*o**5\/5 + 22*o**3\/3 + 4. What is the third derivative of x(f) wrt f?\nAnswer: -528*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 2*r + 8*r + (4 - 3 - 2)*(-4*r + 0*r + 5*r) - 3*r + r + r)*(0 - 1 + 4).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -30*g - 1479. Let z be v(-51). Calculate the highest common factor of 501 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 12 = -4*u, 4 + 11 = -3*f + 5*u. Suppose r - 2*z = -15, 1 = -3*z + 4*z. Let d be (-15)\/r - 8\/8. What is the third biggest value in f, d, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 5*x - 241 = -283 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.23042773.\nAnswer: 0.069128319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 11\/2)\/(3\/(-9208)). Suppose 6546 = 10*c - k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v + 3315 - 31859. What is the smallest common multiple of v and 56?\nAnswer: 24976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -6 - 12 - -2 - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*b + 656504 - 656408, 3*m = -5*b + 248 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6*(1 - 0))\/(63\/(-42)). Suppose -4*i + i + 63 = -3*m, 0 = -5*m + 15. Suppose -u*p + 8*p + 4 = -4*q, 3*p = 4*q - i. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a + 33*a - 2072952 = 0. What are the prime factors of a?\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20948609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1441895 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 4. Let i(l) = -1. Let w(h) = 12*i(h) + 3*y(h). Calculate w(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -13. Is (z + -6)\/(-3) + 15 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*w - 19 = 0, 2*q + w = 6*w - 29 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*p - 16316, 5*p = -2*z - 0*p + 10879. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3535*v**2 + 144 - 144.\nAnswer: -3535*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -17863*y. Let i(p) = 17850*p. What is -5*i(r) - 4*t(r)?\nAnswer: -17798*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g + 3. Let k be i(-2). Suppose -3*u + 0*u + 6 = 0. What is the remainder when -2 + 2 + -2 - k is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + w - 2, 3*u - 18 = -3*w. Suppose u*h = -0*h. Suppose -i = -3*y + 48, 4*y + h*i = 3*i + 59. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 802 + -795.616. Let i = b + -0.134. Round i to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1199*f + 16400 = -7580 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -107031271, -107031269, -107031267, -107031265?\n\"Answer: 2*b - 107031273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/12 + 818*g. Let b(n) = -3*n. Calculate f(b(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24793820, -24793825, -24793844, -24793883, -24793948, -24794045, -24794180, -24794359?\nAnswer: -24794588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-1)*30\/110*(-600)\/(-1125)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, -9, 2.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 15*p**2 - 6*p. Let z(b) = -2*b. Give l(z(x)).\nAnswer: 60*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21b + a15?\nAnswer: 7fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**3 + 6*v + 5. Let x(o) = -17*o**3 - 17*o - 14. Let f(q) = -2*q**3 + 13*q**2 - 15*q + 4. Let b be f(5). Calculate b*x(u) + 11*j(u).\nAnswer: -2*u**3 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d - 19*d - c - 2 = 0, 3*c - 6 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9624839 is divided by 54?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 22*o**2 + 3*o - 2. Let a(v) = -43*v**2 - 6*v + 4. Let h(i) = -3*a(i) - 5*w(i). List the prime factors of h(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**2 + 1\/21*o**4 + 0 - 1\/210*o**5 + 0*o - 1\/7*o**3. Let k(y) = 0. Calculate y.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 1224649.\nAnswer: -857254.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9)*(-7 + 276\/42)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23*(-6)\/(-3)*(-3)\/(-2)*72\/(-216)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 123 = 9. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**5\/20 - w**4 + 5*w**3\/2 + 41*w**2\/2 + 42*w. What is the least common multiple of t(-13) and 16 + (-5)\/((-10)\/4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -19. Let p = l + 3. Let b = 2.0000003 + p. Round b to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*m + 185 = 0, -969 = 56*p - 61*p + 3*m. What is the remainder when p is divided by 44?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 94*i**2 + 441*i - 6. What is h(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 0 + (6 - 8). Let l be (-60)\/(-18) + q\/(-6). Solve l*a = 2*x + 18, -5*a + 3*x - 7 = -31 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2.04 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-22)\/(-14))*(-4173)\/(-5564)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2614\/9 + -290. Suppose 0 = -2*t + 2*z + 44, -3*t + z + 62 = 2*z. Let m be 6\/t - (1 + -1). Which is the smallest value? (a) m (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 212253 and 15?\nAnswer: 1061265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, b: 3, h: 1, o: 4, g: 2, n: 4}. What is prob of picking 1 o, 1 n, and 1 z?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 277.4424 months?\nAnswer: 23.1202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Suppose -5*k + w*k = 4*a - 21, -5*a = 5*k - 150. Let j = k + -31. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from jibirbii?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 5*b - 3. Let g be l(6). Let d = g - -2. Let y be 46\/14 - (-4)\/(-14). Solve d + y = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 18 + 10. Put -5, 3, c, 0 in descending order.\nAnswer: 3, 0, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = -195*a + 171 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*r**2\/13 - 80*r\/13 + 162\/13.\nAnswer: -2*(r + 1)*(121*r - 81)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -221?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55, -62, -75, -100, -143, -210, -307?\n\"Answer: -z**3 + 3*z**2 - 9*z - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 380*l - 17. Let m be q(10). Let o = m - 2520. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) 1 (c) -738 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -220, 11, 25 in ascending order.\nAnswer: -220, 11, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 4770468?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from gcgmdmmggmmmmmgdedec?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.054\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**5\/20 + o**4\/12 + o**3\/6 - o - 2. Let j(s) be the first derivative of v(s). Give j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13726 - 8579. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2626*o + 868. Let m be u(-33). What is m rounded to the nearest one thousand?\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 21*d**2 + 45*d - 43. Let q be t(18). Let v = q + 1926. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70516, -69206, -67022, -63958, -60008?\nAnswer: -55166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxzrzxxzz. Give prob of sequence rx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5049454440 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 562, 519 in ascending order.\nAnswer: -10, 519, 562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/27*-3 + -531. Let b = 531 + j. Find a such that 0 - b*a**3 + 4\/3*a**2 - 2\/3*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3375984 to the power of 1\/2, to the nearest integer?\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*p - 4*s - 8, 4 = 2*p - 3*s. Suppose 2*d = 3*b + 15, 0 = p*d + 3*d + 3*b + 15. Is 9 a factor of (2 - d) + 10 + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138290171*c**5 - 171272938*c**2?\nAnswer: 8297410260*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 13) to base 4.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 17*d - 50. Which is smaller: 12 or d?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*j - 1 = 0, -2*s - 4*j = 2*s - 12. Suppose p = -5*o + s, 2*p - 3*p + 5*o + 21 = 0. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 729 = -7*f + 6*f, -4*l + 972 = 4*f. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*s - 10. Suppose s*h - 4 = h. Suppose o = -2*m + 20, -h*m + 4*m - 2*o - 8 = 0. Calculate the highest common factor of m and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1132 (base 6) to base 16.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.7 + -6. Let i = 0.2 + r. Let y = 7 + -8. What is the closest to 0.2 in i, y, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*n - 9*s - 265, 5*s + 213 = -4*n. Let x = -50 - n. Factor 5\/2*j + x*j**2 + 1\/2.\nAnswer: (j + 1)*(4*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 - 804*x**2 - 1617*x - 810 = 0 for x.\nAnswer: -1, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 436\/10841 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 2*q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -5*h + 62, 3*h - 5*h + 26 = 2*z. Let b = 14 - h. Let f = -1483\/585 - -172\/65. What is the nearest to 0 in f, -2, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5945900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 25*p**2 - 28*p - 132. What is q(-24)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*n**2 + 5*n**2 - 6*n**2 as w*n**2 + r + x*n and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + ((sqrt(189) - 6*(sqrt(189)*-2 + sqrt(189) - sqrt(189))) + -2*sqrt(189)*-2)\/(-4*(-2*sqrt(112) + sqrt(112)))))**2.\nAnswer: -51*sqrt(3)\/8 + 8059\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*m - 9. Calculate the remainder when 10 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438 - 3*w**2 - 21*w - 3*w - 438.\nAnswer: -3*w**2 - 24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*c - 50 = 0, -d = -5*d + 4*c + 44. Suppose 13*r = d*r - 70. What is the units digit of -3*r\/15 + 177?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -17, 88, -3, 3, 5, -50 in decreasing order.\nAnswer: 88, 13, 5, 3, -3, -17, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -96644 and 0.06?\nAnswer: -5798.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 3*r + 130. Let a(n) = n + 7. Let h be a(-5). Is ((-4)\/h - r)*-1 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -61 + 6*d + 4*d**3 - 5*d + 61. Let x be k(1). Suppose 25 = 5*f, x*w - 864 = 2*w + 3*f. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-952)\/(-56) + (35099 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 18*y + 21. Let q be t(-17). Suppose -15*p + 4 = -11. Sort -2, q, p, 2 in increasing order.\nAnswer: -2, p, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 145, 144, 141, 136?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1409?\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a meter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooms. What is prob of sequence ooo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(-5))\/(4\/6))\/((-46)\/(-11385)*-11).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 2*r + 3*z - 2, -3*r - 5*z = 27 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 - 906*w**4 - 14157*w**3 - 34248*w**2 + 3660*w + 45648 = 0.\nAnswer: -12, -2, 1, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 65.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from tjjjjytjysjttj?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((245\/(-10))\/7)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h - 7. Give k(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 514 and 2\/5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(1 - 3)*-1. Let t = c - 8. Suppose t*u - 5*l = -3*u + 22, -u - 2 = 3*l. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -8 + -9 - (-10 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*u = 70*u + 305. Is u a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 87500*b**2 - 94669?\nAnswer: 175000*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**1*x)**22*x*x**(2\/7)*(x**3*x)\/x*x)\/(x\/x**(-3)*x**(2\/5))**20 assuming x is positive.\nAnswer: x**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(847) - sqrt(847))**2 - (sqrt(35)\/(sqrt(5) + (sqrt(320)*-4 - sqrt(320))))**2.\nAnswer: 1514\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.04 - -24.04. Which is the closest to -6? (a) -1 (b) -3\/4 (c) -1.1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35098, 35114, 35130?\n\"Answer: 16*f + 35082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 170 in -4, 4, 2, 11\/866?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(1617) - 1*sqrt(1617))*4 - sqrt(1617)) + sqrt(1617)))\/(sqrt(36)\/(sqrt(12) + 3*1*sqrt(12))*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 - 144. Let p = 15.7 + -1.7. Let w = -10 + p. Which is the second smallest value? (a) 8 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.05 equal to 2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v**3 + 21*v**2 - 21*v + 9. Let p(o) = 7 - 109*o**2 + 354*o**2 - 5 - 128*o**2 - 4*o - 113*o**2 + 2*o**3. What is -11*p(a) + 2*z(a)?\nAnswer: -2*a**3 - 2*a**2 + 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*x + 7*x - 19 = 0, -4*x = -m - 17. Let p(c) = c**3 - 7*c**2 + c - 4. Calculate the remainder when m is divided by p(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3 - 3 + (-4*b + b + 2*b)*(5 - 2 - 4) - 2*b + 5*b - b)*(-37*b**3 + 34*b - 34*b).\nAnswer: -37*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4486 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*d, -2*v - 5*d = -4*v. Suppose -3*l - j = -1016, v = -4*j + 2*j + 10. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*p + 9 = 0, -1794*k = -1793*k + p + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 26. Let y be o(-29). What is the third derivative of 94*r**2 + 200*r**2 + 1200*r + 145*r**y - 78*r**2 - 1200*r wrt r?\nAnswer: 870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -12, 4*l + 2*y - 4 = -24. Let m be (5 + l)*1*27. Let n be -3 + (4 - 4) - m. What is the greatest common factor of n and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyypaazyaazadadzyy.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42d - 3937?\nAnswer: -3d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((100\/500 - (-138)\/(-10)) + 13)*55?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2640 = -85*m - 47*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - ((-49 - 0) + 35).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -258\/167?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - m**2 + 4*m**2 - 4*m to l*m + c + x*m**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/6)\/(-30 + 21 - (-3788)\/3). Which is greater: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - 36485 - 82*j + 36493.\nAnswer: -79*j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 67 - 67 - 5*d**3 + (-1117*d**2 - 72*d + 21*d + 14*d + 37*d)*(2*d - d - 3*d).\nAnswer: 2229*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*108\/63*-581 is divided by 498?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 + 61. Suppose 5*z - 3*q = 7, z + 4*q - 6 = -x. Suppose -w - 5 = -5*v + w, w - 5 = 0. Solve -z = v*r - r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*l**2 - 288*l.\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 4\/3 (b) 1 (c) 0.5 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 6*d**2 + 6*d - 5. Let c be g(5). Suppose c = 6*p + 9 - 27. Suppose l - p*y = 50, 0*y + 3*y + 132 = 3*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 19, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqlqqllqqqq. Give prob of picking 2 l and 1 q.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubbu when four letters picked without replacement from {u: 2, b: 7, m: 11}.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 115, 160, 191, 202?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/17)*x*x*x*x*x*x**(6\/7)*x*x*x)\/(x*x**(-8)*x**1) assuming x is positive.\nAnswer: x**(1782\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05705881 rounded to three dps?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 11*v**3\/3 + v**2 + 2*v - 17. Let f(a) = -44*a**2 - 8*a - 9. Let d(u) = -2*f(u) - 9*o(u). Factor d(y).\nAnswer: -y*(11*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10133 + -120?\nAnswer: -10303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275*c = 249*c + 52. Solve c*v = 5*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -234137, -234288, -234439, -234590, -234741?\n\"Answer: -151*r - 233986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6126 is divided by (-102)\/170*1530\/(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 91, 0, 1, 20\/127, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/63 (b) -2\/9 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 7, m: 2, k: 2}. What is prob of sequence hz?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2514, 4704, 6836, 8904, 10902, 12824, 14664, 16416?\n\"Answer: -v**3 - 23*v**2 + 2266*v + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/21245 or 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(832) + ((sqrt(832) + 0 + sqrt(832))*1 - sqrt(832)) + (5*(0 + sqrt(1300) + sqrt(1300)) - sqrt(1300)))**2.\nAnswer: -424*sqrt(13) + 146072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/356848135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -8*i + i. Solve -10*g + 35 - 5 = i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -133*g**2 + 2. Let y(n) = 11251*n. Give y(i(j)).\nAnswer: -1496383*j**2 + 22502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -89788 and 0.0014.\nAnswer: -89787.9986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 + 26*r - 3. Let f be s(5). Suppose -4*i = -2*v - f, 4*v - 3*i + 24 = 7*v. Solve -6 = g - 4*k + 3, 0 = -5*k + v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2585321913.\nAnswer: 3, 861773971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/96832863 or 1?\nAnswer: -8\/96832863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31\/623 in 0.1, -3, 3\/104, 1\/4?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3154*y + 1336745 = 3173*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-1 + -1 + (sqrt(30)*-1)\/sqrt(10))**2 + (sqrt(18) - sqrt(648)*-4)\/sqrt(6) + -1.\nAnswer: 12 + 29*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222*l**5 + 5*l**4 + 204*l**3 - 14579948*l wrt l?\nAnswer: 4440*l**3 + 60*l**2 + 1224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8 - (-92)\/(-10))\/((-16)\/1480). Calculate the highest common factor of 12099 and r.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 18. Suppose a = -2*y + 11, 0 = y - 5*a - 12 + 1. Let r(j) = 3*j - 51. Let i(u) = y*r(u) + 17*p(u). Let t(z) = z. Calculate i(t(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 43. Let z(s) = 5*s - 2*s + 4*s + s**2 + 10. Is z(c) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -323 - 132*y**4 + 38*y**4 - 2*y + 163 + 162 + y**3 + y as l + g*y**4 + n*y + s*y**3 + a*y**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from yyvnpyppynnyybp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 - 14)*(0*a + 2*a - 4*a)*(5*a - 3*a - 3*a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + h - 4. Determine w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16238?\nAnswer: 2, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose -5*a + 10 = 7*b - 4*b, 2*a - 3*b - 25 = x. Solve -8 = m - a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 5)*(266*p**4 - 149*p**4 + 179*p**4) to w + s*p**3 + d*p**4 + t*p**2 + q*p and give d.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 greater than or equal to -28554\/839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgeqf. What is prob of picking 1 e, 1 g, and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + (-4)\/1 + 3. Let g(j) = 53*j - 315. Let x be g(6). Calculate the greatest common factor of x and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 3 = -2*s + 2*y, s + 4*y = 12. Let h be 0 + (-2)\/s*12. Solve -6 = -h*j + 9*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4884247238 rounded to the nearest one million?\nAnswer: 4884000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Suppose -3*p - 3*m + q*m + 233 = 0, 4*p - 312 = -m. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70 - -43. Let n = g - -24. Let m = 3 - n. Solve -2*q - 4 = -m*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4*v + 11 + 1, -4*b + 12 = -4*v. Suppose -2 = -i - b. Suppose -i*f - 2 = -6, -234 = -2*h - f. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 2911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:38 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 34. What is the second smallest value in w, -4, -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09523521 and -32?\nAnswer: 32.09523521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-206)\/(-3) + (4 - 4). Let n = -68 + p. Let x be -2 - (-24)\/14 - (-5)\/140. Which is the nearest to x? (a) -5 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(396) - (sqrt(396) + 1))**2*-2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**3 + 11615105*g**2 + 6745504170195*g - 33727811229225 = 0.\nAnswer: -1161513, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -478 - -486. Solve 3*r = u*r + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-5))\/(2\/(-15)*3). Let t be 4\/q*(3 + 2 + -2). What is the second smallest value in 0.5, -0.08, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16066*i + 16071*i = -7*t + 100, -2*t = -i + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 take away 0.8?\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -924*v - 6473. What is u(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 82?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41175 and 6219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n*n**5\/n)\/n*n)\/n**(-1\/2))**45 assuming n is positive.\nAnswer: n**(675\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 335120 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 3 - -84) + 103 + -90 + -18?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*v + 135*v - 36257 + 36257 as y*v + t and give y.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007039751 to five dps.\nAnswer: -0.00704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.129 - 36.781. Let p = -39 - c. What is p rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -69*k - 1382. Let z be j(-20). Let x(c) = 2*c**3 + 2*c**2 + 4*c + 13. Determine x(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 292\/18 + 12\/(-54). Let u be ((-2)\/4)\/(4\/v). Let r be (-3)\/(-2*(-1)\/u). Solve r*o - 5 = 2*m, -4*m + 0*o - 4*o = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -25 + 142 + -46.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105*j**5 - 2*j**3 + 9*j**2 + 1423*j.\nAnswer: -2100*j**3 - 12*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(sqrt(833) + 1)**2.\nAnswer: 56*sqrt(17) + 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 17 - 18)*(-786 - 104*v + 786)*(-5 + 2 + 1).\nAnswer: -1040*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 169, -2, -13911, -5 in descending order.\nAnswer: 169, -2, -5, -13911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*g + 7 - 132 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d. Let x(k) = 5 - 2*k**2 + 88 - 1 - 15 - 6. Give x(l(w)).\nAnswer: -8*w**2 + 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 16*o**2 - 15*o + 40. Calculate r(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 567*q = -571*q + 2, -4*q - 8 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -160.8 - -156.8. Let a = -0.3 - 0.7. Sort a, 2\/13, 3, m.\nAnswer: m, a, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -992360*t**2*y + 279*t + 69*y + 1 wrt t.\nAnswer: -1984720*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 201365, 46.\nAnswer: 1\/6, 46, 201365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794962?\nAnswer: 2, 7, 56783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyz when three letters picked without replacement from qtyqgzz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26 + 100. Let t = c + -74.00067. Round t to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 354 + -309. Solve 0 = -l - 44 + x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.37 + 25.4. Let g = 3 + -2.97. Let n = v - g. What is the closest to n in -1, 1\/4, 3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2302371 to the nearest integer?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 461 - -186. List the prime factors of w.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 441*g**5 - 1743*g**4 + 2683*g**3 - 2001*g**2 + 720*g - 100.\nAnswer: (g - 1)**3*(21*g - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 8\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 23. Suppose 7*q = 5*q + n. What is the derivative of 4 - 3*s**4 - 2 - s**q wrt s?\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a - 28*a + 65. Solve 6 = -v + n + 4, -a*v + 4*n - 9 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4268570 and 10787.\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/963437 and -46\/3433.\nAnswer: 3307479221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7.875918um?\nAnswer: 7875.918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17696430 and 3.\nAnswer: 17696430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1414194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 g when four letters picked without replacement from {i: 4, t: 1, d: 6, g: 2}.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95637.\nAnswer: 3, 71, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbgbnggbbg. What is prob of picking 4 b?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 10. Let g(q) = 21*q**3 + q**2 - q. Let t be g(u). What is the highest common divisor of t and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k - 5*v = -40, -5*k - 4*v = -134. Let y = -76 - -81. Suppose -g + y*g = 80. Calculate the remainder when k is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2178 divided by -56.\nAnswer: -1089\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 12:36 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.53 + -0.07. Let y = -5.2 - g. Let h = y + 4.6067. Round h to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 + 14a8?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 24*z**3 - 5*z**2 + 2*z + 3. Let b be h(3). Suppose -8*i = -2*i - b. Suppose -2*u + 0*u = -i. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 7, 2\/9, 9, 26\/11, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 367*t + 14. Let g(i) = 183*i + 8. Give -5*g(n) + 2*q(n).\nAnswer: -181*n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - s**2 - s. Let v(c) = c**3 - 2*c**2 - 19*c - 7. Let w(r) = 4*q(r) - v(r). What is the second derivative of w(g) wrt g?\nAnswer: 18*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 c, and 1 l when four letters picked without replacement from {l: 1, c: 10, a: 2, w: 1, t: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 - -139. Let f = l - 254.999995008. What is f rounded to 7 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32260, 21, 4 in descending order.\nAnswer: 21, 4, -32260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 9*n**2 + 7*n - 10. Let r be d(-8). Let z be r\/8 + 1\/(-2). Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3 + 101*y**2 + 199*y + 99 = 0.\nAnswer: -99, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 235267.704775 minus -16?\nAnswer: 235283.704775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/((-39)\/18)*1. Let k(m) = 2*m + 5. Give k(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - 56. Calculate the least common multiple of f and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4 + 2. Find the third derivative of -2*i**2 - 2*i**2 + 2*i**k + 4*i**2 + 3*i**6 wrt i.\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1782 (base 10) to base 11\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 4*p**2 + 5. Let k be o(-4). Let g(a) = 4*a + 0 - a**2 - a + k. What is g(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f + 3562. Is 52 a factor of q(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.070156 - 2227.\nAnswer: -2226.929844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-201)\/186 + 1)*(-2 - 1038\/(-520)). Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 10 = -5*f. Suppose -5140 = f*l + 3290. Let c = 946 - l. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2 - 17*g + 5. What is r(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7152320 divided by -31.\nAnswer: 230720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131833 - 2.\nAnswer: -131835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10995 a factor of 269641380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-94)\/(-4) + 15\/(-30). Suppose c*q = 21*q + 30. What is the remainder when 89 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3\/2 + 135*y**2\/2 + 2331*y\/2 + 8673\/2 = 0.\nAnswer: -7, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let t(m) = -m. Let v = -25 - -11. Let j = 15 + v. Let r(i) = j*t(i) + 2*s(i). Give r(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 - -75. Suppose 0 = 8*p - 3*p - v. Let j(a) = -a**2 + 6*a - 7. Calculate j(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*z + 351 - 376 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 11, -4, 3 in decreasing order.\nAnswer: 45, 11, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h. Determine r(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 2. Suppose -2*g + 2*w = -6, g + u = -5*w - 1. Which is the closest to -2? (a) g (b) -5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -654.1981577 rounded to two decimal places?\nAnswer: -654.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 769, 697, 625, 553?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -2 + (-134 - -144).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = i - 7. Let f(s) = -997*s + 67. Is f(i) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9115400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*h**2 - 3*h + 0.\nAnswer: -3*h*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1901152 by -43208.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(136)*-1 + sqrt(136) + (sqrt(136) - (2*sqrt(136)*1 + sqrt(136))))*2)\/((sqrt(1000)*-1)\/(sqrt(180)\/sqrt(4))))**2.\nAnswer: 2448\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:06 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 19. Let q = -13 + v. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/19, -0.3, -4, 190, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-7)*(-19)\/(-57)*-1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.707868 minutes to nanoseconds.\nAnswer: 42472080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98524 by -28.\nAnswer: 24631\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a**3 + 50*a**2*m + 5279*a**2 - 3932*a - 2*m - 212 wrt a.\nAnswer: -18*a + 100*m + 10558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + 4359. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 16) to base 14.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, t: 9, p: 2, m: 3, o: 4}. What is prob of sequence htmt?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23526 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 40 = -4*k, 0 = 3*r - k + 12 - 40. Calculate the smallest common multiple of r and -2*(-3)\/(-6)*(10 - 22).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t + 398. Calculate the remainder when m(35) is divided by 205.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 69 + (2 + -6 - -1). Let m(f) = -10*f**2 + 4*f**3 - x*f + f**3 - 4*f**3 + 12 + 73*f. Calculate the remainder when m(10) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -16, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 427238671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 306*f**3*g**3 - 7*f**2*g**2 - f*g - 8*g**3 wrt f?\nAnswer: 1836*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*q + q. Solve q*x = 49 - 41 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2319489, 2319487, 2319485, 2319483?\n\"Answer: -2*i + 2319491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32540000 divided by -65080?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -151672 rounded to the nearest 1000?\nAnswer: -152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + (-240)\/(-10) + 13. Solve 0 = 83*j - 76*j + c for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 742082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -7\/4*a**4 + 0 - a**2 + 119\/60*a**5 + 0*a**3 - 12*a. What is the second derivative of v(c) wrt c?\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/3*34275\/(-9140)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -x + 39, 3*x - x = 8. Solve n + 2 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 4\/775167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(2\/127)*(b\/b**(-6))**(-2\/5) assuming b is positive.\nAnswer: b**(-1768\/635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 494 = 2*r, -66 + 360 = 3*i + 2*r. Suppose -m + i = 3*m. Suppose m = 2*n - 7. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876080 rounded to the nearest ten thousand?\nAnswer: 1880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -84*q**2 + 7*q. Let n(f) be the second derivative of f**4\/12 - 6061*f. Determine r(n(j)).\nAnswer: -84*j**4 + 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -13, 0.11, -2.5, 13, 1 in decreasing order.\nAnswer: 13, 1, 0.11, -0.4, -2.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffopiinninip. Give prob of picking 1 p and 1 o.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*z - 30, -z + 4*i = 3*i - 2. Suppose -37*v + 42*v - 20 = 0. Sort z, -5, 3, v.\nAnswer: -5, 3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/20 + t**4 + t**3\/3 - 6*t**2 - 3*t. Is y(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by 984607?\nAnswer: -28\/984607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.410376 rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 191*y**2. Let s be l(1). Let g = -132 + s. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o = -833 + 343 - 196 - 213 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -22. Solve 784*l**5 - 319*l**3 + 19*l + 52*l**m - 115*l - 16 + 1764*l**4 + 1431*l**3 = 0.\nAnswer: -1, -2\/7, -1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18564 and 1836?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 2*z**2 + 14 - 2*z + 3*z. Let n be k(6). Suppose -3*h = -5*h + n. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -8. Suppose u*b = b - 15. Let o(x) = 3*x + 2 - x - x + 0*x. What is o(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125460 and 63?\nAnswer: 878220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4 - 16*p**3 - 96*p**2 - 256*p + 8. Factor u(v).\nAnswer: -4*(v + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/((-7)\/140).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c - 536*c**3 + 3*c - 1 - 3*c + 202*c**3 to d*c + l + u*c**2 + i*c**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 10:24 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 2*u - 9*u + 6 + 2*u**2 + 18*u. Calculate w(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 a when four letters picked without replacement from jjjjjjjjjajaajj?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2321011 (base 4) to base 13\nAnswer: 5512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-3)*1248\/26. Let v = z + 135. Suppose 0*i = 2*i + 10. Sort v, 5, i in decreasing order.\nAnswer: v, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, x: 8, c: 2, n: 2}. Give prob of sequence nx.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36 - 30)*4\/6. Suppose j*k + 2*a - 994 = 0, 3*a - 989 = -5*k + k. What are the prime factors of k?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2*(-6)\/4. Let n be ((-9)\/j)\/(3\/(-78)). Suppose -105 - 38 = -4*u + y, -u - 3*y + n = 0. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, 3\/7, 0.01, 32\/13, -2\/3, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 1522 + 4736*o**3 - 15*o + o**2 - 1523.\nAnswer: 4736*o**3 + o**2 - 16*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 5*l**2 + 6*l - 4. Let w be g(4). Suppose w*d - 4*h + 20 = 76, -3*d = 5*h - 74. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -26431, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 614 and 3503.\nAnswer: 4117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12200584 (base 9) to base 12.\nAnswer: -1bb777a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1425 = -b - 5805. Round b to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 1. Let f be n(2). Let g be (-1 + -1)*f\/2. Let q be (-3)\/(-2)*g*-2. Solve q*s + 5*l - 23 = 0, 0 = s + s + 3*l - 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04535809927 rounded to 6 decimal places?\nAnswer: -0.045358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 103\/85 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -720b7 (base 12) to base 11.\nAnswer: -a1835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2 + 2)*(-1 + 3 - 1) - 433*s + 553 - 553.\nAnswer: -431*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3077330 is divided by 128218.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/2)\/(3\/48). What is the remainder when 28*(36\/z)\/(-9) is divided by (-2 + -13)*(-3)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 5 - 5) + (15 - (8 + -8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552 >= 20094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 190.8619451 and 4.417?\nAnswer: 186.4449451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3*i + 72, f - i + 36 = -f. Let d = 701 - 583. Let x = d + f. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 9 = -3*o, 8 = o - 4*m - 10. What is the lowest common multiple of 11 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592492189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -254434 rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 1248*s**2 - 19 - 671*s**2 - 21 + 59 as y + o*s**2 + f*s and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 6*m**2 + 2*m - 5. What is x(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186466 and 95336.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3820700 and 76700?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 4 (c) -7303 (d) -1\/4 (e) -3 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 12 = 1008. Does 33 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -9. Let k be 0 - ((b - 3) + -8). What is the tens digit of ((-56)\/k)\/(4\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 91 - 35 + j**3 - 35 - 12*j**2 - 30. Calculate w(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 - 3*r - 5. Calculate b(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 95309426621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - 131?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/244 and 91\/8?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1140.8 + -1152. What is the second biggest value in b, 2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 478.18 take away -0.5?\nAnswer: 478.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56105036 to the nearest integer?\nAnswer: 7490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Suppose 4 = r*d, 7*d - 3*d = -2*n + 722. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.022 - 0.0249. What is p rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 10:41 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4765214 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4276252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*w + 5*w. Let a be 0 + 4 + (-2 - 1 - -5). Suppose a + 18 = w*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 - x. Let d(o) = 43*o**3 + o**2 + 2*o. Determine -d(v) - 2*k(v).\nAnswer: -47*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*m**5 - 11*m**5 - 25*m**5 - 4*m**2 + 14*m**5 + 4*m**2 + (m**2 + m**2 - m**2)*(-2*m + 2*m - m**3).\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -n**3\/6 - n**2\/2 - 5*n. Let m(t) = 3 - 2*t - 2 + t - 2*t. What is m(x) - 2*s(x)?\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -17*v**3 - 13*v**2 - 1576*v - 34. Let a(s) = 13*s**3 + 10*s**2 + 1182*s + 26. Give -13*a(h) - 10*b(h).\nAnswer: h**3 + 394*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 2*a + 452. Calculate the lowest common multiple of (1\/2)\/(793\/156 + -5) and i(0).\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -78*j. Let r(q) = 10*q + 12 + 9 - 26 + 5. Calculate r(h(f)).\nAnswer: -780*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 137.2 (b) -2 (c) 412 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/6)\/((-55)\/(-22)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2358 and -0.025.\nAnswer: 2357.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4845322?\nAnswer: 2, 2422661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 118*o**2. Let k(q) be the second derivative of 3*q**4\/4 - 9508*q. Give l(k(p)).\nAnswer: 9558*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27*(-400)\/(-500)*(-45)\/12*(-7)\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 13*a + 405. Let n(k) = -3*k - 101. Calculate -2*d(q) - 9*n(q).\nAnswer: q + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 4*v + 0*v)*(-1 + 1 + 2) + (-10 - 2*v - 2 + 4*v)*(0 - 4 + 1) to d*v + k and give k.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 0*c**2 + 3*c**2)*(-47*c - 17089*c**2 + 20*c + 9*c + 10*c + 8*c).\nAnswer: -17089*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -255 - -105?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c. Let h(z) be the third derivative of 0*z**3 - 1\/8*z**4 + 0*z - 2*z**2 + 0. What is m(h(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0 (b) -2\/3 (c) 1 (d) 3 (e) 1\/6 (f) 0.44 (g) -10183\/11\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j - 9. Calculate the lowest common multiple of n(4) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azy when three letters picked without replacement from {y: 2, z: 1, a: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -17, -2\/7, -20?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 l when three letters picked without replacement from {l: 12, y: 7}?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 372*k**2 + 374*k + 3. Determine x(-187).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -65, -85, -125, -191, -289, -425, -605?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 1. Let n be 2 + 0\/(-3 + 1). Let k(a) = 2 + 2 + 170*a + 12 - 70*a + 28*a**n. Let c(u) = -k(u) + 8*y(u). Suppose c(t) = 0. What is t?\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*d - 231 = 0, -5*m + 1083 = -4*d + 5*d. Let q = m + -121. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200202010 (base 3) in base 5?\nAnswer: -414130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 514380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 + -390.\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*c**2 - 7*c**3 + 130*c**2)*(32 - 32 - 26*c + c + c + 0*c + (2 + c - 2)*(1 - 1 + 2)).\nAnswer: 154*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 4997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.0496 + 0.959. Let k = v - -0.090599266. What is k rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 10*i - 26. Let n be x(7). Let w = n - -10. Solve 0 = -2*p - p - w*r + 29, 3*p = 2*r + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 7. Suppose -4*x - 3*p = -104 + 38, 3*x - 51 = -l*p. Let z = -421 + 426. What is the greatest common factor of z and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -257305025 - 2?\nAnswer: -257305027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 65*v**2 - 15*v + 100. What are the prime factors of b(31)?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 5, z: 7, e: 6}. What is prob of picking 1 z and 1 k?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1\/4)))**(6\/17)*a**(-2\/3)\/(a\/a**(-8\/5)) assuming a is positive.\nAnswer: a**(-1621\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 6*g + 990 = 19*g. Solve g = -568*q + 573*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -373 + 376. Which is smaller: o or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -f + s, 4*f - 548*s + 347*s + 202*s = 16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**2 - 35*i. Let m(f) = -2*f**2 - 28*f. Let y(s) = 5*m(s) - 4*v(s). Let j(d) = 597*d**2 + 2. Give y(j(g)).\nAnswer: -712818*g**4 - 4776*g**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/4, 0, -11\/5, -567, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*m + 133*m - 1396 - 1348 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/375 and -22\/29925?\nAnswer: 149625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-9 - -28))*((-12)\/8 + 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -193, -2, 5, 4, -5 in descending order.\nAnswer: 5, 4, -2, -5, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -69689844 * -3\nAnswer: 209069532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*v + 230*v - 6 + 6 + 24*v.\nAnswer: 328*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5617*d**3 - 12844026 + 12844026.\nAnswer: -5617*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27.9 + -19.9. Let p = -12.4 - -3.4. Let x = 4 + p. What is the nearest to -0.1 in 0.1, b, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485 = 1000*x - 1485*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 84 = 2*v - 2*s, 5*v - 3*s - 105 = 0. Let c be v\/(-35) + 36\/10. Let k = 10 - c. What is the least common multiple of k and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54158 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 252 - 248. What is the first derivative of -1493*h**4 + 46 + h + 1492*h**w - h wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 4. Let a(f) = f - 5. Let w(r) = -4*a(r) + 5*b(r). Let y(s) = 5*s - 14. Let m(k) = -8*k + 17. Let d(q) = -5*m(q) - 6*y(q). Determine d(w(c)).\nAnswer: 10*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide (162 + -156)*(3 + (-6977)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -146.196 - -0.196. Let m = 145.8 + j. Let d = 0.22 - 0.06. Is m at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**5 - 30*c**4 - 40*c**3 + 10*c**2 + 45*c + 20 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30)\/(((-80)\/15)\/(-8))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 387, 1460, 3613, 7218, 12647, 20272, 30465?\nAnswer: 43598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-42)\/5 - -2)\/(14\/(-175)). Let u = -73 + j. Suppose -2*n + 4*i = n - 33, -1 = 2*n + 5*i. Calculate the greatest common divisor of n and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(2)*3) - ((sqrt(3) - sqrt(75))**2 + 3).\nAnswer: -51 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 499, 785, 1113, 1483, 1895, 2349?\n\"Answer: 21*g**2 + 223*g + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -83.2 + 83. Let p = 0.56 - 0.06. Put -0.3, m, p in decreasing order.\nAnswer: p, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(12 - u - 12).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60619, -121257, -181895, -242533?\n\"Answer: -60638*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15500237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-8)*(-12)\/15. Suppose -x + a = -2*d - 0, 0 = 5*d. What is the derivative of -3*q**2 + x*q**2 - 2*q**2 + q**2 + 5 wrt q?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136416 by 4872.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.9. Let w = 1.22 - 0.71. Let g = w - 0.01. Which is the closest to -1\/2? (a) j (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -3b3aa?\nAnswer: 3b3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0*f + 2*p + 632, -4*f + 1294 = 2*p. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 - 435?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1675938 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 61*d. Let h(j) = -207*j. Give i(h(l)).\nAnswer: 42849*l**2 - 12627*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*w - 0*w. Let l be 2 + 4 - 183\/(-3). Suppose l + w = d. Calculate the greatest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 4*m**2 + 2*m + 5. Let h(j) = j. Let n be h(-4). What is a(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 730048794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -34269039 - 4*l + 34269039. Let o(c) be the second derivative of -c**4\/12 + 2*c**3\/3 - c. Determine o(p(i)).\nAnswer: -16*i**2 - 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 8. Let u be o(-9). Let n(m) = m**2 - 4469406*m**3 + 756905*m**3 + u + 3. Let q be n(2). What is q rounded to the nearest 1000000?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1106*s**3 - 6*s**2 + 8*s + 4. Let f(a) = 2210*a**3 - 11*a**2 + 14*a + 7. What is 4*f(j) - 7*n(j)?\nAnswer: 1098*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -33522*y + 200955. Calculate x(6).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Solve u = -5*o - 32 + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 11. Let t = 18 - n. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -1656 - 664. List the prime factors of x.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5035359 divided by 2?\nAnswer: -5035359\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 668.0000377 - 668. Round a to six dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150 - 150. Solve a*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 2*u**3\/3 - u**2\/2 + 2. Suppose 3*z + 1 = 2*z. Let l be h(z). Which is the closest to 2\/7? (a) 0.5 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39b (base 12) to base 16.\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(150)\/sqrt(5))\/((sqrt(100) + sqrt(100)*2 - sqrt(100))\/sqrt(10) + sqrt(10)))**2.\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3 + 30*m**2 - 1 - 4 - 1. Let a(u) be the second derivative of -u**3\/3 + 207*u. What is w(a(p))?\nAnswer: 120*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*p - 2*p. Is 4 a factor of 74\/6 + p\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-1629)\/(-99)) + 8 - (4347\/(-77) + 5)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-3 - -1) - -1. Let h = -66 + q. Let g = -36 - h. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*w - 391 - 155 = 0 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13908 = -161*f + 155*f. What are the prime factors of f?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/12 - j**3 - 47*j**2\/2 + 53*j. Let w(v) be the first derivative of m(v). Calculate w(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29480)\/(-308))\/(2400\/1680)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*n + 6 = -0*n, 4*n - 16 = q. Suppose 2*r = q*r - 6. Solve 2*t = 3*b - 2 - 5, 8 = -r*b - t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15162 by 266.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -21*y**3 - 7*y**2\/2 + y. Is b(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 29*p**2 - 71*p + 152. Determine i(-26).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 36, -97, -3, -5 in ascending order.\nAnswer: -97, -5, -3, 1\/8, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*d - 45. Let x(y) = -y + 1. Let g be x(d). Let k(i) = -2*i**2 + 115 + i - g*i**3 - 116 + i**2. Determine k(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286333797.\nAnswer: 7, 53, 65419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1001304 * -0.55.\nAnswer: -0.60507172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3*k - 3*k)*(0 + 4 - 1) + 2 + 11*k - 2 + 2.\nAnswer: 17*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddvyvauz. What is prob of picking 1 a, 1 d, and 1 y?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*n - 753*n**2 - 314*n - 323*n - 413*n**2 - 2*n**3.\nAnswer: -2*n**3 - 1166*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 + 85 = -7*q. Which is smaller: 14 or q?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*u - 30. Solve d - 2 = u*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0598b (base 13) to base 5.\nAnswer: -2022044334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1039 and 8?\nAnswer: 8312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -121.2754 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 18 - 3*t**2 + 4*t**2 - 15 - 23*t**2 - 5 - 2*t. Let n(m) = m**2 + m + 1. Let y(f) = 5*c(f) + 10*n(f). Let d(b) = 2*b**2. Determine y(d(w)).\nAnswer: -400*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2)*(8 + -7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 7*d**2 + 3*d + 19. Calculate b(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3474 - 1323437?\nAnswer: -1317743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -38, -0.06, 5, -2\/5, 4?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*z**3 - 73*h**3*z - 6*h**2*z - 4*h*z**2 + 50*z**5 wrt z.\nAnswer: -12*h**3*z - 8*h + 1000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, z: 2, e: 3, l: 2}. Give prob of sequence ecz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.5. Let u = 93538.4 - 93538. What is the closest to -3 in u, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 6 = -g. Let y(m) be the third derivative of m**6\/120 + 3*m**5\/20 + m**4\/12 - m**3\/2 + 5*m**2. Let v be y(g). What is v rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.376238mg?\nAnswer: 7376238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -12. Suppose 4*g - 5*w - 240 = 0, -35 = -4*g - w + 181. Suppose -t - g = -2*f, 3*f - t - 4*t = 72. What is the remainder when f is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2764156 divided by 691039.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-4\/9)*f)\/f*f)**(19\/3) assuming f is positive.\nAnswer: f**(266\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - -5 - 4*8. Let w = o - -30. What is the derivative of -2 + 4*p**2 + 11*p**w - 4 + 1 wrt p?\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 + 135*h**2 - 176*h**2 + 211*h**2 + (2 + h**4 - 2)*(0*h + 2*h + 0*h).\nAnswer: h**5 + 170*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1467 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - -3.05. Let q = 2\/77 + 65\/462. Suppose 5 = 4*p + 2*s + 13, 2*s = 8. Which is the nearest to n? (a) q (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/35 + 2*s**3\/3 - 2*s**2. What is the derivative of x(i) wrt i?\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 4*t + 4*t)*(4*t - 3*t + 2*t) - 3*t**3 + 5*t**3 - 3*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 107405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 121, 18921 in decreasing order.\nAnswer: 18921, 121, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * -1.1.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 35?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000008476821 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(864)*-2 - sqrt(96)*-2)\/(6*(-2*1*sqrt(144) + sqrt(144))\/sqrt(12)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*u + 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -1126589089986.3\nAnswer: 1126589089977.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 31. Let a(s) = 24*s**2. Calculate a(p(i)).\nAnswer: 96*i**2 - 2976*i + 23064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4063*n + 16852. Calculate x(4).\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.39, 12, 2994?\nAnswer: 2994","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {h: 8, d: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 50. Suppose 0 = 2*i - y - 5. Solve -i = -l - l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 20*w + 4. Let t be c(2). Let d = 46 - t. Suppose 2*y - 282 = -2*j, j + d = -0. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 4*q = 29, a + 8 = -240*q + 237*q for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133072*c*j**3*o + 52*c*j**3 + 4*c*j**2*o - 2*c*j*o + 110316*c*j - c*o - 3*j**2 wrt j?\nAnswer: 798432*c*o + 312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) 3\/5 (c) -18.5 (d) 454\/3 (e) -9 (f) 0.2 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 16 + (15 - 9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.1*61.1.\nAnswer: -556.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101\/125 + -1\/125. Factor -4\/5*m - 2\/5*m**4 + 0*m**2 + c*m**3 + 2\/5.\nAnswer: -2*(m - 1)**3*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 59. Let w(k) = k**3 + 21*k**2 - 27*k - 14. Let q(l) = l**2 - l. Let n(y) = b*w(y) - 6*q(y). Is 10 a factor of n(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 317, -1, -5, 6.\nAnswer: -5, -3, -1, 1, 6, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c\/(c*(c**(1\/3)\/c)\/c)))\/c**(-2))\/(c\/(c\/(c*c*c*c*(c*c\/(c*c**3))\/c*c))*((c**(-3\/8)\/c*c)\/c)\/c))**(3\/2) assuming c is positive.\nAnswer: c**(17\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 1:47 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12803459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3 = 4*q + 2, -4*q - n + 13 = 0. Suppose 0*l - 60 = -q*l. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 = 3*b, -2*w - b = -6*b - 10. Suppose -226 = -w*j + 3*q, -2*j + 0*j + 3*q = -94. What is the remainder when j is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122*a**2*b*q**2 + 92*a**2*q**3 - 14*a*q - 606*b*q**3 wrt a?\nAnswer: 244*b*q**2 + 184*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 10*p + 324. Suppose 0 = -2*c + 29 - p. Solve c = -0*g + g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5913 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*u + 36594 = 1022*u + 757*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8*-1)\/(-4)*5. Let j(s) = -s + 19. Let m be j(17). Suppose -52 = -d + b + c, -4*d = m*b - 218. Calculate the remainder when d is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - 2 - 645*q**3 + 101*q - 4*q**2 - q**2 - 152*q + 50*q in the form k*q**2 + c*q**3 + j*q + s and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 41 - 10 = 0. Let k be (u - 0) + (-32)\/8. Suppose -5*h + k = f, h + 4*f - 17 = -3. Solve 5 = w - h*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -1 (c) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-45) + 6\/(-27). Which is the nearest to m? (a) 3 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 6, n: 2, h: 1, x: 3}. Give prob of sequence xxj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {p: 1, u: 1, o: 5, j: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 112011320 (base 4) in base 2?\nAnswer: 10110000101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 4. Let n be d(0). Let m = 0 + n. List the prime factors of (-32)\/6*6\/m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.8855 to the nearest integer.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138\/175681 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:58 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**4 + w**4 - w**3 + 0*w**3 - 3*w**4 + w**2 to the form g*w + c*w**3 + h*w**2 + i*w**4 + t and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -10*x**4 + 2144*x**3 + 214254*x**2 - 1693244*x + 642880 = 0.\nAnswer: -80, 2\/5, 7, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 18. Let k(m) = m**3 - 50 + 8*m - 4*m**3 + 58 - 14*m**2. Let y(h) = h**3 + 5*h**2 - 3*h - 3. Determine a*y(u) - 3*k(u).\nAnswer: u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*f**2 - 12*f**2 - 4*f**2 + 63*f**2 - 22*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let b(t) be the second derivative of -403*t**4\/12 - 2*t. What is h(b(c))?\nAnswer: 162409*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 650708 bigger than 650713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -12089037.05.\nAnswer: -12089036.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*b + 35 - 35 + 4*b - b - 4*b + (-1 + 1 + 2*b)*(-1 - 2 + 2) + 0*b + b + 0*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -233 + 119*u**2 + 56 + 58 + 53 + 64. Let h(n) = -n. Determine h(g(z)).\nAnswer: -119*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**6\/120 - g**5\/12 + g**4\/8 + 5*g**3\/6 + g**2\/2 - 5. Let b(n) be the second derivative of h(n). Give b(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*h + 13 = 10, 2*h + 7 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4 + 2. Let j be (-10)\/(-15)*s + 9. Solve -2*l + j*l = -20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21355.20193 + -21355. What is f rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, -2\/75 in ascending order.\nAnswer: -4, -2\/75, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 214 - 149. What is the remainder when j is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -750, 246, 1902, 4212, 7170?\n\"Answer: -v**3 + 336*v**2 - 5*v - 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 15*h + 0*h = -44 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -7)\/(18*(-3)\/(-6)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530*((-195)\/1170 - 4\/(-15)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-21))\/(-5 + 50\/14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + p**2 - 1. Let v = -2703 + 2702. Let f(b) = 3*b**3 - 6*b**2 + 2. What is v*f(z) - 5*h(z)?\nAnswer: 2*z**3 + z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(2\/5)\/m))**(4\/3)*(m**2)**(-15) assuming m is positive.\nAnswer: m**(-398\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 615021625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.48 + 6.74. Which is the second smallest value? (a) -1\/6 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 3. Let p be g(10). What is the remainder when 4 is divided by 4\/p*84\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2) - 12\/8. Solve -2*j + 5*m - 6 = -0*j, g = j - 4*m + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13 and 14.765.\nAnswer: 1.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 v when four letters picked without replacement from {v: 7, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**2 - 2 - a**3 + 13*a + 2*a**3 - 19*a + 12*a. Suppose -2*f + 0*f = -50. Suppose 2*b = 7*b - f. Determine u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v. Let o(g) = 408*g**2 - 33*g - 63. Let y(x) = -102*x**2 + 8*x + 15. Let s(r) = -5*o(r) - 21*y(r). What is d(s(q))?\nAnswer: -306*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + l - 25, -11*i + 10*i = 3*l - 25. Solve 5*s - 5 = 4*r, 4*s - i = 2*r - 0*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.3? (a) -5 (b) 571.1 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1415 - -244. Let n = u - -1170.999998637. Round n to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/45969 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3193 and 1416353?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*j - 26*j - 14*j + j + 2 + (2 - 3 + 3)*(-2*j - 2 + 2) in the form z*j + p and give z.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n + 9 + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -820.1 less than 0.02?\nAnswer: 820.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. Suppose 0 = 5*h + p*w - 107 - 83, -2*h + 99 = -3*w. Let g = h - 30. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1116*q**3 - 2237*q**3 + 1115*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*q**2 - 1659*b**2*q - 29*b**2 + 5*b*q - 5*b + 866*q**2 wrt b?\nAnswer: -2*q**2 - 3318*q - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13607487527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 1 (c) -15 (d) -43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 19 - (-5 - 0 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 14 = -i, 3*i - 2*i = 5*a - 28. Solve 3*r = -a - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 7*c + 4. Determine g(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/7))**(-43))**48 assuming j is positive.\nAnswer: j**(-10320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - v = 2*k - 85, 3*k - 115 = v. Let i be (-4)\/k + (-408)\/(-80). Solve -i*g + 20 = -5*q, -2*q + q - 3*g + 12 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 4*i - 2*z - 12, 4*i + 3*z - 4 = 0. Which is the second biggest value? (a) 0.15 (b) 0.2 (c) i (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.01, 14, 2, -2\/15, 2\/17, 1\/15?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100\/(-54)*141\/235?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*b*c*k*y - b*c*y + 6*b*c - 7921*b*k*y + 492*b*k - 15540*b*y + 20*b wrt k.\nAnswer: 8*b*c*y - 7921*b*y + 492*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sosoosoooosooooosos. Give prob of picking 2 o and 1 s.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - u + 43 - 16 = -5*u, 0 = -5*u - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56409, -49835, -43259, -36681?\nAnswer: -30101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -219 + 106 + 108 + 576*n. What are the prime factors of u(1)?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -1 (c) 0.5 (d) -51081 (e) 3 (f) -0.1 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*y - 3)*(51 - 51 + 31*y) to the form m*y + g*y**2 + z and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1849*g + 12843 - 3240 = -759*g - 13869 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n - 29. Let q(d) = 2*d + 14. Determine -2*o(h) - 5*q(h).\nAnswer: -2*h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144762 is divided by 144708?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495 = -5*r + 5*z, r - 119 = 2*r - 5*z. Let u = r + 138. Calculate the greatest common factor of 22 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 2*v - 1. Let i(a) = -16*a**2 - 3*a - 9. Determine -i(f) + 2*n(f).\nAnswer: 18*f**2 - f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 19*c**2 + 3*c**2 - 3*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/1650 - ((-44080)\/(-250))\/(-8)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.06 + 952?\nAnswer: 954.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 34872 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z - 103*z + 11*z)*(-1 + 0 + 3)*(1 - 3 - 5*z + 4*z).\nAnswer: 202*z**2 + 404*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**7\/210 + 7*o**6\/150 + 17*o**5\/100 + 17*o**4\/60 + o**3\/5 + 7*o - 2. Factor r(k).\nAnswer: k*(k + 1)**2*(k + 2)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15860*s - 2*k = -15861*s + 17, 7*k - 6*k - 29 = -7*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*g = -94*g + 24426. What is the remainder when g is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v - 7 + 18 - 11.\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s + 17*s - 6. Let f(u) = -13*u**s - 5*u**2 - 1 + 1. Let l(j) = j**2. What is l(f(p))?\nAnswer: 324*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23644 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {x: 2, f: 16}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.93 - 3.33. Let q = -28.3 + s. Which is the nearest to q? (a) -5\/2 (b) -3\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1119 divide 5051849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6211*-0.3\nAnswer: -1863.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 3*i - 6. Let d be f(7). Suppose d = 3*u + 4*j, 36 = 3*u + u + 2*j. What is the remainder when 28 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, 30, 149, 394, 807, 1430, 2305, 3474?\n\"Answer: 7*t**3 - 14*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045141392.\nAnswer: 2, 3, 317, 68687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 179303521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:13 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(14) + sqrt(42)\/sqrt(3))*-2)\/(sqrt(28)\/sqrt(4)*4))**2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*b - 4*u - 398, -b + 4*u + 92 = 0. What is the greatest common divisor of b and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o - 4*y = 48, o + 5*y - 4 = 0. Is (-4)\/o - 2006\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/11, 5\/4, -2\/7, 0.83, 2\/15 in descending order.\nAnswer: 3, 5\/4, 0.83, 2\/15, 1\/11, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 697003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5859, 11712, 17565, 23418?\nAnswer: 29271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 - 5*p**3 + p**3 + 5 + 4*p**2. Let o be -8*(-2 - 6\/(-4)). Determine b(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + l + 2 = 2*h, -3*l - 6 = -2*h. What is the remainder when (1 - h) + 30\/2*1 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p = 36. Suppose -2*m + p = -m. Let r be 1 + (-1 - m\/15). What is the closest to -1 in r, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-9)\/24)\/((-9)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 53 = -3*c. Let u = c + -9. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 18*i**2 + 76*i + 10. Let r(b) = -5*b**2 - 25*b - 4. Let q(p) = 2*l(p) + 7*r(p). Let x be q(26). What is the highest common factor of x and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)*l*l\/l**6)**(-14))**(1\/47) assuming l is positive.\nAnswer: l**(112\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2926*d + 35492 - 91086 = 0 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/465357 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 + 62. What is the second biggest value in g, -2\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 6*n + 4. Calculate the least common multiple of u(-7) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3068, 6202, 9336, 12470, 15604?\n\"Answer: 3134*g - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481018 is divided by 92?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 1, y: 10, h: 4, u: 4}. What is prob of picking 2 h and 1 t?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 + 1584*h**3 + 15572*h**2 + 51096*h + 55584.\nAnswer: 4*(h + 3)**2*(h + 4)*(h + 386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 8*u**2 - u + 10. Let q be l(8). Suppose 0 = 2*j - 2 - q. Suppose a = 4 - j. Solve 0 = -a*g - 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3374673 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + 0. Let s = m + -6.03. Let q = -3 - s. What is the nearest to -1 in 0, 3\/7, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 2, b: 5}. What is prob of picking 1 t, 1 b, and 2 f?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 3. Let h = 1.8 - -0.6. Let v = h - 2.3. Sort v, x, 0 in decreasing order.\nAnswer: v, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11.3 and 0.9043.\nAnswer: -10.3957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1915 and -2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.5. Let y = 183.263 + -0.263. Let m = y + -181. What is the smallest value in 3\/4, 1, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4697857 and 198501?\nAnswer: 14093571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**4\/4 - 10*x**3\/3 - 6*x**2 - 18*x - 25. Let q be m(-8). Is (0 - (q + 2))\/(4\/8) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -31*i + 26*i - 3, 2*i - 2*k + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k + 18. Let u be g(-5). Let m be 0*(12\/8)\/u. Let n be -1*-1*(-1 + 2). Sort m, n, -1 in ascending order.\nAnswer: -1, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*p + p + 2, 4*m = -3*p - 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.49 + 1.69. What is the closest to 0.14 in -0.2, y, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0*z*z**(4\/3))\/((z\/z**0)\/(z*z**(-2\/9)))*(z**(-2)*z*(z*(z*z\/(z\/((z\/z**(-9))\/z)))\/z)\/z)**(3\/2) assuming z is positive.\nAnswer: z**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47154 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -24*x**3 + 4*x**3 + 2 - 5 + 4 + x. Let p be a(-1). What is the highest common factor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1789353132?\nAnswer: 2, 3, 7, 21301823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308, -626, -946, -1268, -1592?\nAnswer: -1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -285078 divided by 6\nAnswer: -47513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8\/24 + 1 + 3 + -3\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 3800?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33777203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:39 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/280*(-15)\/(-9)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -0*c - 14. Let w be 45\/(-18)*(0\/c + -2). Suppose -2*n = -4*t + 120, w*t = 2*n - 0*n + 148. Calculate the remainder when t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4, 3*d + 0 = -3*c - 3. Suppose -g = c*m + g - 7, 0 = m - 4*g - 21. Calculate the remainder when 14 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*x - a**2 + a*x - 2848*a + 381*x with respect to x.\nAnswer: -a**2 + a + 381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3383 + -5?\nAnswer: -3388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6)**(3\/4)*(y**(-6\/11)*y)\/((y**(1\/16)\/y)\/y) assuming y is positive.\nAnswer: y**(1213\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (1 - -3)) + 3102\/141?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -7*b - 46. Suppose 0 = -2*u + u + 66. What is the highest common divisor of b and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + -2 + sqrt(7) - sqrt(7)) + -3)**2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -631 in decreasing order.\nAnswer: 0, -4, -631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3))**12 assuming w is positive.\nAnswer: w**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1913.45344 to 1 decimal place.\nAnswer: 1913.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 6 - (0 - 0)) + 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 12}. Give prob of sequence cy.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/3*3\/(-884). Let a = k - 18287\/3536. Calculate the common denominator of a and 19\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90624 and 6726?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-8) + 1)\/(15\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8198*y**2 - 11*y + 9. Let q(m) = 4099*m**2 - 6*m + 4. Let o(k) = -9*q(k) + 4*v(k). Let h be o(-10). Round h to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 - 118. Let l = y + 36. Suppose -3 = -2*z + 7. Which is the biggest value? (a) z (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.364, 1\/12, 1\/201?\nAnswer: 1\/201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from {u: 1, b: 2, m: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.145118056 to four dps.\nAnswer: -0.1451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(12)*-2*-1)*5.\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/1 - -20568 - (-56 - -59) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (148 + 155 + 82 + 16)*(0*h + 4*h - 5*h) to the form m*h + x and give m.\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 949.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 11:18 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 264 = -p, 41*t + 3*p - 220 = 36*t. Solve 0 = 39*u + t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 11 - 4*m**2 + 3 + 3*m + 12*m**2 - 2. Let t be r(-8). Sort -2, t, 4 in ascending order.\nAnswer: t, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37011334 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, k: 2, y: 2}. Give prob of picking 1 k and 2 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 1, 556.\nAnswer: 0, 1, 2, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*-8372.\nAnswer: -1088.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/(b**(-6)*b))\/b*b)\/b*b**1)**(-2\/45)*((b\/((b*(b**(-7\/2)\/b)\/b*b)\/b))\/(b\/b**(5\/3)))**(-30) assuming b is positive.\nAnswer: b**(-8339\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*m - 181, -148 = 4*m + 4*w - 4. Let j be m\/(-13) - (0 - -3). Sort j, 3, -3.\nAnswer: -3, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 3. Let n be s(-8). Let h(z) = -211*z + 336. Let a(o) = -105*o + 168. Let t(l) = n*a(l) + 2*h(l). Differentiate t(y) wrt y.\nAnswer: 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m + 12. Suppose -r + m = -5*r. Calculate the remainder when 2 - r - 1 - -41 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - o**2 - 3*o**4 - 3*o**2 - 7*o**3 + o - 1 - 2*o**2 + 5*o**3 to the form a*o**2 + b*o**4 + d*o + p + h*o**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -30. What is the remainder when -1*(-13 - 2*(0 + x)) is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 18 = -618*b + 617*b, 7*b - b = -2*k - 28 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-24))\/(9\/132) - 2\/(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 + 0*i**2 + 0*i**2 + 4*i**2. Let c(s) = 2*s**2 - 11*s + 4. Let p(m) = 11*m - 4. Let f(w) = 2*c(w) + 2*p(w). What is f(l(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -793911 and -0.04.\nAnswer: -793911.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/18*(-3)\/(-2). Suppose 0 = -b - 4*m - 16, 1 = 4*b + 4*m - m. Let r = 0 - -3. Sort b, w, r in decreasing order.\nAnswer: b, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 50*b + 6 + 5 - 51*b. Let a be i(6). Suppose 0 = -4*y + 4*d + 4, -a*y - d = -0*y - 17. Solve -3*c = 0, -h + c + y = -c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12142, 16462, 20774, 25072, 29350, 33602, 37822, 42004?\n\"Answer: -p**3 + 2*p**2 + 4321*p + 7820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**8\/336 + 31*h**6\/24 - 71*h**4\/2 - 2142*h**2. Find the second derivative of f(p) wrt p.\nAnswer: -20*p**3 + 930*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1848672?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(-2 + sqrt(288)) + 1*(sqrt(2) + -3*sqrt(2)*1))**2.\nAnswer: -176*sqrt(2) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, o: 6, j: 4, i: 1, l: 2, x: 1}. What is prob of picking 1 x and 3 o?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69\/4 - 19. Let v(k) = -k**3 + 3*k**2 + 4*k - 3. Let l be v(4). Does s = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 0. Let l = x + 6. Let d = l + 4. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/(-81))\/((-56)\/54).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4538 - 4620. Which is the third smallest value? (a) -4 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, l: 3}. Give prob of sequence ii.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-5*1\/(-2). Calculate the highest common factor of 55 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8157 - 8155. Let i(g) be the first derivative of 21 + 34*g - 47\/2*g**l. Differentiate i(d) wrt d.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -489*l + 203. What is the ten thousands digit of o(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c - -1?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + sqrt(98) + sqrt(98)*1 + sqrt(98) + (sqrt(98) + 1)*4)**2.\nAnswer: 882*sqrt(2) + 4887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 76228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 9 + 53 = -92. Sort x, -3, -13 in decreasing order.\nAnswer: -3, x, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1565 and 4069.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -16*x. Let y(z) = 14*z. What is q(y(v))?\nAnswer: -224*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163 is divided by 349?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*u - 43158392*u**3 - 47 + 49*u + 43158390*u**3 - 2*u**2 as f*u**3 + o*u**2 + z*u + k and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**7\/4620 - n**6\/990 - n**5\/660 - 7*n**3\/3 - 21*n**2. Let j(y) be the first derivative of k(y). Factor j(r).\nAnswer: -2*r*(r + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*j + 17, -19*j + 10 = -15*j + 2*k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 95 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4081877.\nAnswer: 37, 110321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 (base 9) in base 10?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140577 and 3525?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*l - 33 + 32 + 36*l as u + d*l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32010, 31914, 31790, 31632, 31434, 31190, 30894, 30540?\n\"Answer: -w**3 - 8*w**2 - 65*w + 32084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x - 20. Is 24 a factor of (9\/3)\/(x\/95)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/8 and 17\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*l + 2*g - 19, -17 = 4*l + 3*g. Let s be (-2)\/30 + l\/(-40). Is s greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*r - 16 = -3*r, 0 = r. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -572\/128889?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 16*y**2 + 2*y + 202. Give v(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 33*m**2 - 36. Let l(x) = -16*x**2 + 16. Let s(y) = 9*l(y) + 4*z(y). Let r(h) = 15*h**2. Calculate r(s(c)).\nAnswer: 2160*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5636637401.\nAnswer: 41, 137478961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -5*a**4\/12 + 2*a**3\/3 + a**2\/2 - a. Solve k(u) = 0 for u.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0650938931 to 4 decimal places.\nAnswer: 0.0651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45845\/8 - 5740. Let v be 262\/36*24\/(-102). Let w = v - -167\/17. What is the common denominator of z and w?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -26. Let o(t) = -5*t**2 + 4*t - 4. Let p be o(r). Let y = 0.22 + -1.22. What is the second biggest value in -2\/3, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2989*v + 4392*v = 3468*v + 181720 for v.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 3:50 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19107660599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*q**2*s**5 + 214*q**2 - 3*q*s - 2*s**5 wrt s?\nAnswer: 420*q**2*s**3 - 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 43. What is the fourth smallest value in l, 5, -4, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**4)\/x*x)\/x)\/((x*x**10*x)\/x))**(-4\/13)*(x*x*x**(3\/4)*x*x**(-2))\/((x*x**2\/x)\/x**(7\/2)) assuming x is positive.\nAnswer: x**(409\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, m: 3, t: 5, o: 1, x: 1}. What is prob of picking 2 e, 1 m, and 1 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 7 + 5. Solve -x*d - 7 = -15 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v. Let s(b) be the third derivative of -12*b**5\/5 + 4451*b**2. Determine n(s(p)).\nAnswer: -864*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m - 2*m + 0*m + 3 - 3 + 3*m + (-3 + 1 + 0)*(93 - 93 - 392*m).\nAnswer: 785*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11783 or -283?\nAnswer: -11783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 60*a**5 + 5215*a**4 - 440*a**3 - 435*a**2 = 0.\nAnswer: -87, -1\/4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45507 + -85?\nAnswer: -45592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(14\/(-4)) - -6. Suppose p - 12 = -j. Factor -5*i - 4*i**4 - 6*i**4 + 5*i**5 + j*i**2 + 2*i**2.\nAnswer: 5*i*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 4316*i - 79. Let v(p) = -15*p + 186. Let c be v(12). Is h(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (2 + sqrt(396) + -3 + sqrt(396))) + 2)**2.\nAnswer: -36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/(-8)*0\/326?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5291.5 and -3?\nAnswer: 15874.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + 5*i + 15. Let p(f) = 4*f**2 - 7*f - 22. Let g(y) = -7*h(y) - 5*p(y). Let u(k) be the first derivative of g(k). What is u(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 427 + 0.2\nAnswer: 427.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000048265 rounded to six decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 91*y**2 - 10*y. Let q(k) = 91*k**2 - 11*k. Calculate -7*g(x) + 6*q(x).\nAnswer: -91*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 4 + 681*s + 25*s**2 + 4 + 12.\nAnswer: 25*s**2 + 681*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)*1 - sqrt(72)) + sqrt(72) - sqrt(72))\/sqrt(12))\/(-2*sqrt(27)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2809696 + 235*u**2 - 2809696.\nAnswer: 235*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1139 + 128*b**2 + 1139 as l + p*b + c*b**2 and give c.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*d**5*s**2 - 4*d**3*s**2 + 131*d**2*s + 4*s**2 wrt d.\nAnswer: -4740*d**2*s**2 - 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2567*d - 2362*d - 207*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -29310 (base 11) in base 13?\nAnswer: -15c49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0 - 3 = -v, -w + 2*v = 0. Let o be w\/3 - 2\/(-6). Let l = -71.47 - -68.47. Put l, 4, o in increasing order.\nAnswer: l, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -1\/3, 16, -28290, -5, 1\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frof when four letters picked without replacement from {f: 5, r: 1, k: 3, o: 1}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + p + 65 = 0, h + 2*h - 4*p - 52 = 0. Let b = h + 1. Let z = 6721 - 6568. What is the greatest common factor of b and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 19 + 66 = 204*p - 203*p, 3*p - 84 = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - m**2 + 3*m**2)*(4 - 4 - m**2) - m**4 + m**4 - m**4 - 13*m**2 + 2*m**3 + 13*m**2 - 4*m**4.\nAnswer: -3*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b = 56*b - 145 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**2 + 3*v + 4*v**2 + 12*v)*(-4*v - 12*v + 4*v) - 5 - 26*v + 25*v + v**2 + 5*v**3 + 3.\nAnswer: 29*v**3 - 179*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 9*z**2 - z - 11. Let q be g(-9). Let x = 2 - q. Let o(v) = 7*v - 4. Let f be o(x). What is the greatest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 143334168 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -4.1. Let h = -4.5 - -0.5. What is the smallest value in h, -1\/6, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 13. Let m be y + 5\/(67785\/40674). Let a = -438341\/9038 - m. Find the common denominator of a and 61\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -45, -94, -141, -186, -229?\n\"Answer: t**2 - 52*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11988*d**2 + 12333*d**2 + 0 + 0 to the form b*d + h*d**2 + k and give h.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/(4\/(-156)). Let r be 4\/10 + c\/(-10). Suppose -5*z - 8 + 88 = 0. Solve 2*l + 5*f = z, -2*l = l - r*f + 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427036, -854071, -1281106, -1708141?\nAnswer: -2135176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 92931 and 0.4?\nAnswer: 92930.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/15, 58, 0.61, 3\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15531, 31041, 46553, 62067?\nAnswer: 77583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from yscgr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tynzezzyyzyzynyeyzzy. What is prob of sequence nyze?\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, -0.5, -1\/3, 1 in descending order.\nAnswer: 1, -0.03, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/9454962 and -41\/11030789.\nAnswer: 66184734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 23325*s**4\/2 + 89593*s**3\/4 - 95154*s**2 + 7413*s + 4 = 0.\nAnswer: -4, -1\/1866, 2\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(108)*1*6)\/sqrt(6))\/(-1*(sqrt(300)\/sqrt(5))\/sqrt(10)) + 3.\nAnswer: -6*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(99) + 3 + sqrt(99)) - (sqrt(11) + -5)*-5.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1425 (base 7) to base 12.\nAnswer: 3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8510 divided by 1702?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 645845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 1 + 0\/4. Suppose 6*t - 9 = 3*t. Suppose 0*b - 5*z + 28 = 4*b, t*z - 35 = -5*b. Solve 3 = -m - k*a, 4*m = b*m + 4*a + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 3*i - 4. Let p be (-3)\/4 - 18\/(-24). Let j(o) = o**3 - o**2 + o - 4. Let c be j(p). Let w(v) = 2*v**2 + 7*v + 9. Determine c*w(s) - 9*b(s).\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7877 is divided by 7814.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003227 rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4468971484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -1.047, -5, 0.5, -2\/11, 1.13?\nAnswer: -1.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -598 or -612?\nAnswer: -612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1795 or -1807?\nAnswer: -1807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3691.\nAnswer: 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 + 9*t + 11. Let m be j(-8). Put 0, m, 2 in decreasing order.\nAnswer: m, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420527 = 10437*t + 1412*t - 1795011 for t.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkfjkjfkxfxff. Give prob of picking 2 f and 1 x.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -989408027+0.3\nAnswer: -989408026.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and 90.078.\nAnswer: -18.91638","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddg when three letters picked without replacement from {d: 11, g: 3}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 9 + 3 = 0. Suppose -c*q - 2135996 = -4*r - 6*q, 2*q = -r + 533998. What is r rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**7\/315 + u**6\/720 + u**5\/15 - 5*u**2. Let a(g) be the third derivative of t(g). Calculate a(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21312331 (base 4) in base 14?\nAnswer: -10a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -270177\/5 + 54036. Determine t so that -j*t**2 - 21\/5*t - 18\/5 = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*x - o, 3*x + 2*o = 2 + 2. Solve 2*n - n + x = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 + 68 = -4*h + f, f - 172 = -3*h. Calculate the remainder when h is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 4*r**2 + 21*r + 2. Let g be f(7). Let m(j) = 1. Let u(p) = p + 11. Let z(q) = g*u(q) - 22*m(q). Let i(t) = 61*t. What is z(i(w))?\nAnswer: 122*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(153)\/((-1*sqrt(63))\/sqrt(7)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -48 + 41 - (-8)\/1. Which is the fourth biggest value? (a) h (b) 25 (c) -20\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.076?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 204*b - 14. Let r(f) = -68*f + 5. Let p(z) = 6*a(z) + 17*r(z). Let t be (-21)\/(-35) - 6\/(-15). Is p(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:46 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/5*(2 - 25\/10). Put -3, 5, d, 44 in decreasing order.\nAnswer: 44, 5, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298349874 divided by 3.\nAnswer: 99449958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 104803090.\nAnswer: 104803094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 11111122020?\nAnswer: -11111122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 212041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/8)\/(170\/(-5)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - h + 2*h - 302 = 0, -3*j + 2*h = -176. What is the tens digit of 1640\/j + (-8)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - 1 + 1 + (-8365 + 8365 - 94*o)*(-4*o + 0*o + 2*o) - 3*o**2 + 1 - 1 - 8*o**2 + 3*o**2 - o**2.\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}